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Add original benchmarks

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Jip J. Dekker 2021-06-15 16:32:27 +10:00
commit 636185c841
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bin/

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analyse_chuffed.py Executable file
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#!/usr/bin/env python3
"""
This script will produce the final value of a variable named 'objective' and its
area for every file ending in '.sol' in the directory provided. The files are
expected to be fzn-gecode output piped through solns2out with the
'--output-time' flag. Furthermore the file is expected to contain the initial
area which can be found by adding
'constraint trace("% init_area = \(ub(objective));\n", true);'
to the model in question.
"""
import csv
import os
import re
import sys
def compute_area(file, time):
area = -1
objectives = []
times = [0]
timeout = -1
objectives.append(0)
for line in contents:
# match = re.match(r'%\sinit_area\s=\s(\d+)', line)
# if match:
# objectives.append(int(match[1]))
# continue
match = re.match(r'objective\s=\s(\d+)', line)
if match:
objectives.append(int(match[1]))
continue
match = re.match(r'%\stime elapsed:\s(\d+)\sms', line)
if match:
times.append(int(match[1]))
continue
times.append(time)
assert(len(objectives) > 0)
assert(len(objectives)+1 == len(times))
area = 0
for i in range(len(objectives)):
area += ((times[i+1] - times[i])/1000)*objectives[i]
return int(area)
folder = sys.argv[1]
stats = {}
for root, dirs, files in os.walk(folder):
for name in files:
if name.endswith('.sol'):
seed = 1
match = re.search(r"\.(\d+)\.sol", name)
if match:
seed = int(match.group(1))
with open(os.path.join(root, name)) as f:
contents = f.readlines()
statistics = {}
for line in contents:
# Nodes
match = re.search(r"nodes:\s+(\d+)", line)
if match:
statistics['nodes'] = int(match.group(1))
continue
# Solve time
match = re.search(r"search time:\s+(\d+\.\d+)\s*seconds", line)
if match:
statistics['search_time'] = int(float(match.group(1))*1000)
continue
# Restarts
match = re.search(r"restart count:\s+(\d+)", line)
if match:
statistics['restarts'] = int(match.group(1))
continue
for line in contents[::-1]:
# Best objective
match = re.match(r'objective\s=\s(\d+)', line)
if match:
statistics['objective'] = int(match[1])
break
# Area
area = compute_area(contents, statistics['search_time'])
stats[name[:-(4)].replace(".", ",")] = (area, statistics['objective'], statistics['search_time'], statistics['restarts'], statistics['nodes'])
sorted_stats = sorted(stats.items())
a = sorted_stats[0][0][:sorted_stats[0][0].find(",")]
for key, val in sorted_stats:
if key[:key.find(",")] != a:
print("\n\n")
a = key[:key.find(",")]
print("%s,%s" % (key, ",".join([v.__str__() for v in val])))
exit(1)

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analyse_gecode.py Executable file
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#!/usr/bin/env python3
"""
This script will produce the final value of a variable named 'objective' and its
area for every file ending in '.sol' in the directory provided. The files are
expected to be fzn-gecode output piped through solns2out with the
'--output-time' flag. Furthermore the file is expected to contain the initial
area which can be found by adding
'constraint trace("% init_area = \(ub(objective));\n", true);'
to the model in question.
"""
import csv
import os
import re
import sys
def compute_area(file):
area = -1
objectives = []
times = [0]
timeout = -1
objectives.append(0)
for line in contents:
# match = re.match(r'%\sinit_area\s=\s(\d+)', line)
# if match:
# objectives.append(int(match[1]))
# continue
match = re.match(r'objective\s=\s(\d+)', line)
if match:
objectives.append(int(match[1]))
continue
match = re.match(r'%\stime elapsed:\s(\d+)\sms', line)
if match:
times.append(int(match[1]))
continue
match = re.search(r"solvetime:.*\((\d+).(\d+)\s+ms\)", line)
if match:
times.append(int(match.group(1)))
continue
assert(len(objectives) > 0)
assert(len(objectives)+1 == len(times))
area = 0
for i in range(len(objectives)):
area += ((times[i+1] - times[i])/1000)*objectives[i]
return int(area)
folder = sys.argv[1]
statistics = {}
for root, dirs, files in os.walk(folder):
for name in files:
if name.endswith('.sol'):
seed = 1
match = re.search(r"\.(\d+)\.sol", name)
if match:
seed = int(match.group(1))
with open(os.path.join(root, name)) as f:
contents = f.readlines()
# Area
area = compute_area(contents)
objective = 'UNSAT'
for line in contents[::-1]:
# Best objective
match = re.match(r'objective\s=\s(\d+)', line)
if match:
objective = int(match[1])
break
nodes = -1
solvetime = -1
restarts = -1
for line in contents:
# Evaluation time
match = re.search(r"copies:\s+(\d+)", line)
if match:
nodes = int(match.group(1))
continue
# Solve time
match = re.search(r"solvetime:.*\((\d+).(\d+)\s+ms\)", line)
if match:
solvetime = int(match.group(1))
continue
# Restarts
match = re.search(r"restarts:\s+(\d+)", line)
if match:
restarts = int(match.group(1))
continue
statistics[name[:-(4)].replace(".", ",")] = (area, objective, solvetime, restarts, nodes)
sorted_stats = sorted(statistics.items())
a = sorted_stats[0][0][:sorted_stats[0][0].find(",")]
for key, val in sorted_stats:
if key[:key.find(",")] != a:
print("\n\n")
a = key[:key.find(",")]
print("%s,%s" % (key, ",".join([v.__str__() for v in val])))
exit(1)

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% Real case instance UD2 of http://satt.diegm.uniud.it/projects/gbac/
% Downloaded from https://bitbucket.org/satt/gbacp-instances/raw/Imported/UD/
% and translated into a MiniZinc data-file.
% Ing@UD aa07-08, second level
n_periods = 6 ;
n_courses = 268 ;
n_curricula = 20 ;
min_courses = 2 ;
max_courses = 6 ;
n_precedences = 174 ;
n_undesirables = 158 ;
w1 = 1;
w2 = 1;
course_load = [6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 16, 5, 6, 6, 6, 5, 5, 5, 6, 5, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 7, 7, 5, 5, 7, 7, 7, 5, 5, 5, 6, 6, 6, 5, 7, 7, 5, 5, 7, 7, 6, 6, 7, 5, 5, 15, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 7, 7, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 5, 5, 6, 6, 5, 15, 17, 5, 5, 7, 7, 5, 6, 5, 6, 5, 5, 6, 6, 16, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 5, 5, 5, 6, 5, 5, 6, 6, 2, 1, 1, 1, 1, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 16, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 15, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 6, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5] ;
courses_of = [{267, 268, 35, 39, 40, 45, 46, 47, 48, 49, 53, 189, 61, 62, 67, 103, 104, 105, 107, 108, 110, 115, 123}, {267, 268, 35, 38, 39, 40, 45, 46, 47, 48, 49, 53, 58, 62, 64, 67, 103, 104, 105, 107, 108, 109, 115}, {268, 16, 35, 36, 37, 38, 39, 40, 41, 42, 45, 46, 47, 48, 190, 191, 79, 98, 99, 103, 106, 115, 117}, {136, 268, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 190, 191, 100, 101, 102, 103, 115, 117}, {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 147, 19, 22, 23, 24, 25, 31, 160, 186, 213, 215, 238, 111, 112, 239, 240, 241}, {2, 7, 8, 9, 10, 11, 13, 14, 16, 17, 147, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 160, 186, 187, 214, 216, 238, 111, 239, 240, 241, 116}, {41, 49, 50, 51, 52, 53, 54, 55, 56, 185, 57, 58, 59, 60, 184, 201, 210, 113, 120, 121, 122, 123, 124}, {49, 50, 52, 53, 54, 55, 56, 185, 57, 184, 60, 61, 62, 63, 64, 201, 202, 209, 210, 211, 108, 113, 121, 122, 123}, {41, 49, 50, 51, 53, 54, 55, 56, 185, 57, 184, 60, 65, 66, 67, 68, 69, 202, 210, 82, 113, 121, 123}, {188, 192, 193, 194, 195, 196, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 96, 97, 114, 118, 119}, {16, 17, 192, 193, 194, 195, 196, 70, 71, 72, 73, 74, 203, 78, 79, 80, 83, 85, 86, 87, 88, 89, 96, 97, 114, 118, 119}, {188, 192, 193, 194, 195, 196, 70, 71, 72, 73, 74, 77, 78, 79, 80, 90, 91, 92, 93, 94, 95, 96, 97, 114, 118, 119}, {128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 267, 139, 140, 141, 142, 155, 156, 158, 159, 197, 198, 199, 200, 85, 89, 243, 244, 249, 250, 251, 252}, {128, 2, 267, 140, 142, 143, 144, 145, 146, 147, 14, 148, 149, 150, 151, 153, 152, 154, 155, 27, 157, 159, 160, 242, 243, 244, 245, 246, 247, 248, 125, 127}, {128, 2, 131, 258, 5, 267, 140, 142, 143, 144, 14, 148, 149, 151, 152, 153, 154, 27, 155, 157, 159, 160, 33, 242, 243, 244, 245, 246, 247, 248, 125, 126}, {259, 260, 261, 262, 263, 264, 265, 266, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 177, 182, 183, 205, 207, 212, 253, 254, 255}, {259, 260, 261, 262, 263, 264, 265, 266, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 175, 176, 182, 183, 205, 207, 212, 253, 254, 255}, {259, 260, 261, 262, 263, 264, 265, 266, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 178, 179, 183, 204, 205, 206, 207, 212, 253, 254, 255}, {259, 260, 261, 262, 263, 264, 265, 266, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 175, 180, 181, 183, 204, 207, 208, 212, 253, 254, 255}, {256, 257, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237}] ;
precedes = array2d(precedences,1..2, [213, 15, 7, 33, 7, 215, 7, 216, 10, 11, 16, 17, 20, 33, 20, 215, 20, 216, 24, 33, 24, 215, 24, 216, 25, 33, 25, 215, 25, 216, 26, 33, 26, 215, 26, 216, 28, 33, 28, 215, 28, 216, 31, 147, 35, 48, 35, 64, 36, 48, 36, 64, 16, 48, 16, 64, 43, 48, 43, 64, 49, 58, 49, 59, 49, 64, 49, 65, 49, 122, 49, 41, 50, 58, 50, 59, 50, 64, 50, 65, 50, 122, 50, 41, 51, 58, 51, 59, 51, 64, 51, 65, 51, 122, 51, 41, 52, 58, 52, 59, 52, 64, 52, 108, 52, 65, 52, 122, 52, 41, 53, 58, 61, 58, 61, 59, 61, 63, 61, 64, 61, 65, 61, 122, 61, 41, 66, 69, 97, 70, 104, 105, 104, 191, 107, 48, 107, 64, 108, 48, 108, 64, 49, 48, 109, 48, 109, 64, 117, 48, 117, 108, 117, 64, 121, 59, 125, 5, 127, 150, 129, 125, 129, 85, 129, 142, 129, 5, 129, 154, 131, 126, 134, 133, 135, 125, 135, 85, 135, 142, 135, 5, 135, 154, 143, 144, 147, 125, 147, 85, 147, 142, 147, 5, 147, 154, 160, 125, 160, 85, 160, 142, 160, 2, 160, 5, 160, 154, 14, 125, 14, 85, 14, 142, 14, 5, 14, 154, 148, 125, 148, 85, 148, 142, 148, 5, 148, 154, 149, 152, 151, 153, 154, 258, 155, 125, 155, 85, 155, 142, 155, 5, 155, 154, 160, 33, 160, 215, 160, 216, 166, 212, 184, 185, 190, 105, 190, 191, 197, 125, 197, 85, 197, 142, 197, 5, 197, 154, 199, 125, 199, 85, 199, 142, 199, 5, 199, 154, 213, 33, 213, 215, 213, 216, 222, 227, 222, 229, 222, 236, 223, 227, 223, 229, 223, 236, 225, 227, 225, 229, 225, 236, 239, 24, 242, 125, 242, 85, 242, 142, 242, 5, 242, 154, 246, 125, 246, 85, 246, 142, 246, 5, 246, 154, 249, 125, 249, 85, 249, 142, 249, 5, 249, 154, 252, 125, 252, 85, 252, 142, 252, 5, 252, 154, 268, 48, 268, 64] );
undesirable = array2d(undesirables,1..2, [226, 2, 226, 5, 210, 3, 210, 6, 245, 1, 245, 4, 90, 3, 90, 6, 75, 2, 75, 5, 128, 2, 128, 5, 98, 2, 98, 5, 256, 3, 256, 6, 171, 3, 171, 6, 38, 2, 38, 5, 5, 1, 5, 4, 37, 3, 37, 6, 42, 2, 42, 5, 35, 1, 35, 4, 268, 1, 268, 4, 138, 3, 138, 6, 165, 1, 165, 4, 171, 2, 171, 5, 133, 3, 133, 6, 79, 3, 79, 6, 142, 3, 142, 6, 108, 3, 108, 6, 76, 2, 76, 5, 217, 3, 217, 6, 19, 3, 19, 6, 141, 1, 141, 4, 52, 2, 52, 5, 239, 2, 239, 5, 18, 1, 18, 4, 123, 1, 123, 4, 64, 3, 64, 6, 242, 3, 242, 6, 72, 2, 72, 5, 101, 3, 101, 6, 143, 1, 143, 4, 118, 3, 118, 6, 250, 3, 250, 6, 77, 3, 77, 6, 172, 2, 172, 5, 185, 1, 185, 4, 223, 1, 223, 4, 62, 3, 62, 6, 94, 3, 94, 6, 257, 2, 257, 5, 177, 3, 177, 6, 107, 3, 107, 6, 184, 3, 184, 6, 130, 1, 130, 4, 255, 3, 255, 6, 40, 3, 40, 6, 167, 1, 167, 4, 211, 1, 211, 4, 120, 1, 120, 4, 51, 1, 51, 4, 150, 2, 150, 5, 46, 3, 46, 6, 28, 1, 28, 4, 264, 3, 264, 6, 184, 2, 184, 5, 201, 2, 201, 5, 79, 1, 79, 4, 157, 1, 157, 4, 41, 3, 41, 6, 34, 3, 34, 6, 44, 3, 44, 6, 20, 3, 20, 6, 15, 2, 15, 5, 48, 1, 48, 4, 214, 3, 214, 6, 176, 3, 176, 6, 172, 3, 172, 6, 26, 1, 26, 4, 140, 1, 140, 4, 19, 1, 19, 4, 124, 3, 124, 6, 154, 3, 154, 6, 14, 1, 14, 4, 239, 1, 239, 4, 234, 1, 234, 4] );
% {'c1079': 214, 'c412': 3, 'c1101': 223, 'c816': 147, 'c478': 53, 'c537': 93, 'c1146': 256, 'c676': 113, 'c489': 58, 'c527': 85, 'c420': 8, 'c526': 84, 'c446': 32, 'c431': 18, 'c922': 185, 'c1178': 265, 'c415': 4, 'c856': 173, 'c514': 75, 'c821': 149, 'c495': 61, 'c831': 156, 'c476': 51, 'c498': 64, 'c513': 74, 'c833': 157, 'c839': 161, 'c428': 15, 'c479': 54, 'c504': 68, 'c1072': 212, 'c1003': 194, 'c1105': 227, 'c455': 39, 'c828': 154, 'c865': 178, 'c532': 88, 'c1131': 245, 'c533': 89, 'c1137': 251, 'c1106': 228, 'c803': 136, 'c1065': 207, 'c1123': 238, 'c546': 100, 'c1179': 266, 'c519': 78, 'c474': 49, 'c718': 116, 'c598': 106, 'c1004': 195, 'c606': 109, 'c501': 65, 'c539': 95, 'c647': 111, 'c536': 92, 'c1062': 204, 'c812': 143, 'c848': 168, 'c1135': 249, 'c862': 177, 'c491': 59, 'c835': 159, 'c1096': 218, 'c798': 134, 'c1134': 248, 'c860': 175, 'c814': 145, 'c440': 26, 'c447': 33, 'c1185': 268, 'c871': 182, 'c419': 7, 'c1067': 209, 'c1097': 219, 'c806': 138, 'c1021': 197, 'c435': 21, 'c872': 183, 'c1127': 242, 'c1120': 236, 'c724': 118, 'c737': 121, 'c1063': 205, 'c502': 66, 'c1081': 215, 'c452': 36, 'c841': 163, 'c861': 176, 'c520': 79, 'c425': 12, 'c566': 105, 'c840': 162, 'c460': 43, 'c830': 155, 'c437': 23, 'c1132': 246, 'c1005': 196, 'c815': 146, 'c800': 135, 'c453': 37, 'c523': 81, 'c444': 30, 'c747': 124, 'c515': 76, 'c1122': 237, 'c852': 171, 'c738': 122, 'c510': 71, 'c1053': 201, 'c1099': 221, 'c426': 13, 'c795': 131, 'c721': 117, 'c409': 1, 'c487': 57, 'c1107': 229, 'c788': 125, 'c670': 112, 'c813': 144, 'c1102': 224, 'c599': 107, 'c461': 44, 'c1126': 241, 'c857': 174, 'c1125': 240, 'c869': 181, 'c450': 35, 'c429': 16, 'c1055': 202, 'c1147': 257, 'c506': 69, 'c1110': 231, 'c464': 47, 'c477': 52, 'c462': 45, 'c423': 11, 'c540': 96, 'c496': 62, 'c1142': 255, 'c1095': 217, 'c730': 120, 'c1047': 200, 'c422': 10, 'c1103': 225, 'c427': 14, 'c436': 22, 'c1071': 211, 'c1068': 210, 'c791': 128, 'c507': 70, 'c416': 5, 'c600': 108, 'c561': 103, 'c1001': 192, 'c449': 34, 'c1174': 261, 'c441': 27, 'c866': 179, 'c725': 119, 'c845': 165, 'c538': 94, 'c1184': 267, 'c1111': 232, 'c521': 80, 'c1064': 206, 'c853': 172, 'c432': 19, 'c933': 187, 'c524': 82, 'c454': 38, 'c475': 50, 'c810': 141, 'c849': 169, 'c1119': 235, 'c445': 31, 'c793': 129, 'c745': 123, 'c1066': 208, 'c1002': 193, 'c551': 101, 'c1138': 252, 'c834': 158, 'c804': 137, 'c531': 87, 'c921': 184, 'c534': 90, 'c1166': 259, 'c1140': 253, 'c1124': 239, 'c457': 41, 'c794': 130, 'c456': 40, 'c789': 126, 'c807': 139, 'c417': 6, 'c790': 127, 'c535': 91, 'c820': 148, 'c811': 142, 'c486': 56, 'c433': 20, 'c439': 25, 'c836': 160, 'c1057': 203, 'c868': 180, 'c421': 9, 'c997': 191, 'c1074': 213, 'c1104': 226, 'c544': 99, 'c541': 97, 'c463': 46, 'c1136': 250, 'c824': 152, 'c511': 72, 'c826': 153, 'c1022': 198, 'c458': 42, 'c1118': 234, 'c850': 170, 'c465': 48, 'c932': 186, 'c438': 24, 'c564': 104, 'c1129': 244, 'c494': 60, 'c822': 150, 'c516': 77, 'c1176': 263, 'c530': 86, 'c847': 167, 'c430': 17, 'c525': 83, 'c996': 190, 'c797': 133, 'c1128': 243, 'c1177': 264, 'c1175': 262, 'c1167': 260, 'c846': 166, 'c993': 189, 'c823': 151, 'c796': 132, 'c1133': 247, 'c808': 140, 'c1141': 254, 'c716': 115, 'c1046': 199, 'c607': 110, 'c543': 98, 'c443': 29, 'c1100': 222, 'c936': 188, 'c442': 28, 'c484': 55, 'c512': 73, 'c1109': 230, 'c1112': 233, 'c1148': 258, 'c411': 2, 'c844': 164, 'c678': 114, 'c497': 63, 'c503': 67, 'c1082': 216, 'c1098': 220, 'c554': 102}

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% Real case instance UD4 of http://satt.diegm.uniud.it/projects/gbac/
% Downloaded from https://bitbucket.org/satt/gbacp-instances/raw/Imported/UD/
% and translated into a MiniZinc data-file.
% Ing@UD aa02-03, VOD
n_periods = 6 ;
n_courses = 139 ;
n_curricula = 16 ;
min_courses = 2 ;
max_courses = 6 ;
n_precedences = 188 ;
n_undesirables = 80 ;
w1 = 1;
w2 = 1;
course_load = [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 12, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 6, 12, 6, 12, 12, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 12, 12, 6, 6, 6, 6, 12, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6] ;
courses_of = [{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 131, 12, 13, 14, 135, 16, 136, 137, 132, 29, 30, 31, 32, 33, 34, 133, 36, 105, 107, 112, 113, 115, 116, 117, 118, 119}, {1, 2, 3, 4, 5, 6, 7, 131, 132, 10, 11, 133, 134, 135, 15, 136, 17, 18, 19, 20, 21, 29, 32, 35, 36, 137, 105, 107, 112, 113, 114, 115, 116, 117, 118, 119}, {1, 2, 3, 4, 5, 6, 7, 131, 132, 133, 135, 136, 13, 137, 16, 22, 23, 24, 25, 29, 34, 36, 105, 106, 107, 112, 113, 115, 116, 117, 118, 119}, {1, 2, 3, 4, 5, 6, 7, 131, 132, 133, 135, 136, 137, 19, 22, 24, 25, 26, 27, 28, 29, 35, 36, 105, 106, 107, 112, 113, 115, 116, 117, 118, 119}, {128, 130, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 111, 53, 54, 55, 58, 60, 61, 62}, {128, 129, 130, 37, 38, 39, 40, 41, 42, 43, 47, 48, 49, 50, 51, 53, 54, 55, 57, 58, 59, 62}, {128, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62}, {138, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 76, 84, 86, 87, 88, 90, 94, 108, 109, 120, 121, 122, 126, 127}, {138, 63, 64, 65, 66, 67, 68, 69, 70, 73, 77, 78, 79, 82, 84, 86, 87, 88, 90, 94, 108, 109, 111, 120, 121, 122, 126, 127}, {138, 19, 35, 63, 64, 65, 66, 67, 68, 69, 70, 80, 84, 86, 87, 88, 90, 94, 98, 104, 108, 109, 111, 120, 121, 122, 126, 127}, {138, 63, 64, 65, 66, 67, 68, 69, 70, 81, 84, 86, 87, 88, 89, 90, 94, 108, 109, 111, 120, 121, 122, 126, 127}, {138, 47, 63, 64, 65, 66, 67, 68, 69, 70, 74, 75, 83, 84, 85, 86, 87, 88, 94, 108, 109, 111, 120, 121, 122, 126, 127}, {64, 96, 97, 99, 102, 103, 123, 139, 111, 124, 125, 120, 89, 90, 91, 92, 93, 94, 95}, {64, 96, 100, 101, 102, 73, 123, 139, 110, 124, 125, 120, 89, 90, 91, 92, 93, 94, 95}, {64, 96, 98, 35, 102, 104, 123, 139, 124, 81, 19, 125, 120, 89, 90, 91, 92, 93, 94, 95}, {64, 96, 102, 73, 123, 139, 77, 78, 124, 125, 120, 89, 90, 91, 92, 93, 94, 95}] ;
precedes = array2d(precedences,1..2, [1, 5, 1, 18, 1, 20, 1, 27, 1, 28, 1, 36, 1, 114, 1, 117, 1, 118, 1, 134, 2, 5, 2, 18, 2, 20, 2, 27, 2, 28, 2, 36, 2, 114, 2, 117, 2, 118, 2, 134, 8, 5, 8, 18, 8, 20, 8, 27, 8, 28, 8, 36, 8, 114, 8, 117, 8, 118, 8, 134, 9, 5, 9, 18, 9, 20, 9, 27, 9, 28, 9, 36, 9, 114, 9, 117, 9, 118, 9, 134, 11, 5, 11, 18, 11, 20, 11, 27, 11, 28, 11, 36, 11, 114, 11, 117, 11, 118, 11, 134, 37, 111, 37, 49, 37, 60, 37, 61, 37, 62, 38, 111, 38, 49, 38, 60, 38, 61, 38, 62, 39, 111, 39, 49, 39, 60, 39, 61, 39, 62, 63, 66, 63, 69, 63, 70, 63, 76, 63, 77, 63, 78, 63, 81, 63, 87, 63, 127, 63, 138, 65, 66, 65, 69, 65, 70, 65, 76, 65, 77, 65, 78, 65, 81, 65, 87, 65, 127, 65, 138, 90, 66, 90, 69, 90, 70, 90, 76, 90, 77, 90, 78, 90, 81, 90, 87, 90, 127, 90, 138, 71, 66, 71, 69, 71, 70, 71, 76, 71, 77, 71, 78, 71, 81, 71, 87, 71, 127, 71, 138, 74, 66, 74, 69, 74, 70, 74, 76, 74, 77, 74, 78, 74, 81, 74, 87, 74, 127, 74, 138, 90, 111, 90, 99, 90, 100, 90, 101, 90, 110, 90, 139, 91, 111, 91, 99, 91, 100, 91, 101, 91, 81, 91, 77, 91, 78, 91, 110, 91, 139, 92, 111, 92, 99, 92, 100, 92, 101, 92, 81, 92, 77, 92, 78, 92, 110, 92, 139, 105, 5, 105, 18, 105, 20, 105, 27, 105, 28, 105, 36, 105, 114, 105, 117, 105, 118, 105, 134, 108, 66, 108, 69, 108, 70, 108, 76, 108, 77, 108, 78, 108, 81, 108, 87, 108, 127, 108, 138, 124, 111, 124, 99, 124, 100, 124, 101, 124, 81, 124, 77, 124, 78, 124, 110, 124, 139, 126, 66, 126, 69, 126, 70, 126, 76, 126, 77, 126, 78, 126, 81, 126, 87, 126, 127, 126, 138, 131, 5, 131, 18, 131, 20, 131, 27, 131, 28, 131, 36, 131, 114, 131, 117, 131, 118, 131, 134] );
undesirable = array2d(undesirables,1..2, [117, 2, 117, 5, 109, 3, 109, 6, 127, 1, 127, 4, 47, 3, 47, 6, 39, 2, 39, 5, 67, 2, 67, 5, 51, 2, 51, 5, 133, 3, 133, 6, 89, 3, 89, 6, 20, 2, 20, 5, 3, 1, 3, 4, 20, 3, 20, 6, 22, 2, 22, 5, 19, 1, 19, 4, 139, 1, 139, 4, 72, 3, 72, 6, 86, 1, 86, 4, 89, 2, 89, 5, 69, 3, 69, 6, 41, 3, 41, 6, 74, 3, 74, 6, 56, 3, 56, 6, 40, 2, 40, 5, 113, 3, 113, 6, 10, 3, 10, 6, 74, 1, 74, 4, 27, 2, 27, 5, 124, 2, 124, 5, 9, 1, 9, 4, 64, 1, 64, 4, 34, 3, 34, 6, 126, 3, 126, 6, 38, 2, 38, 5, 53, 3, 53, 6, 61, 3, 61, 6, 130, 3, 130, 6, 40, 3, 40, 6, 96, 1, 96, 4, 62, 3, 62, 6, 116, 1, 116, 4] );
% {'c365': 78, 'c346': 64, 'c635': 117, 'c652': 128, 'c313': 32, 'c640': 121, 'c664': 139, 'c356': 72, 'c655': 130, 'c401': 103, 'c353': 70, 'c312': 31, 'c651': 127, 'c384': 92, 'c305': 24, 'c309': 28, 'c388': 96, 'c345': 63, 'c393': 99, 'c310': 29, 'c625': 111, 'c289': 8, 'c649': 125, 'c379': 88, 'c292': 11, 'c332': 50, 'c285': 4, 'c333': 51, 'c300': 19, 'c294': 13, 'c339': 57, 'c297': 16, 'c632': 114, 'c661': 136, 'c284': 3, 'c378': 87, 'c319': 38, 'c656': 131, 'c283': 2, 'c286': 5, 'c299': 18, 'c657': 132, 'c347': 65, 'c395': 101, 'c624': 110, 'c322': 41, 'c368': 80, 'c348': 66, 'c307': 26, 'c287': 6, 'c317': 36, 'c373': 84, 'c374': 85, 'c338': 56, 'c370': 82, 'c662': 137, 'c663': 138, 'c296': 15, 'c636': 118, 'c336': 54, 'c351': 68, 'c381': 89, 'c637': 119, 'c337': 55, 'c634': 116, 'c386': 94, 'c316': 35, 'c659': 134, 'c369': 81, 'c350': 67, 'c302': 21, 'c619': 107, 'c617': 105, 'c306': 25, 'c355': 71, 'c642': 123, 'c638': 120, 'c391': 98, 'c376': 86, 'c323': 42, 'c331': 49, 'c330': 48, 'c334': 52, 'c363': 76, 'c311': 30, 'c372': 83, 'c308': 27, 'c290': 9, 'c648': 124, 'c315': 34, 'c318': 37, 'c291': 10, 'c658': 133, 'c653': 129, 'c326': 45, 'c382': 90, 'c618': 106, 'c282': 1, 'c633': 115, 'c361': 74, 'c358': 73, 'c303': 22, 'c402': 104, 'c387': 95, 'c288': 7, 'c400': 102, 'c298': 17, 'c364': 77, 'c325': 44, 'c366': 79, 'c324': 43, 'c620': 108, 'c295': 14, 'c389': 97, 'c328': 47, 'c321': 40, 'c335': 53, 'c630': 112, 'c320': 39, 'c385': 93, 'c623': 109, 'c301': 20, 'c342': 60, 'c344': 62, 'c327': 46, 'c293': 12, 'c352': 69, 'c641': 122, 'c631': 113, 'c383': 91, 'c660': 135, 'c650': 126, 'c394': 100, 'c314': 33, 'c362': 75, 'c341': 59, 'c340': 58, 'c304': 23, 'c343': 61}

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% Real case instance UD8 of http://satt.diegm.uniud.it/projects/gbac/
% Downloaded from https://bitbucket.org/satt/gbacp-instances/raw/Imported/UD/
% and translated into a MiniZinc data-file.
% Ing@UD aa05-06, second level
n_periods = 6 ;
n_courses = 208 ;
n_curricula = 19 ;
min_courses = 2 ;
max_courses = 6 ;
n_precedences = 149 ;
n_undesirables = 120 ;
w1 = 1;
w2 = 1;
course_load = [6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 16, 5, 6, 6, 6, 5, 5, 5, 6, 5, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 7, 7, 5, 5, 7, 7, 7, 5, 5, 5, 6, 6, 6, 5, 7, 7, 5, 5, 7, 7, 6, 6, 7, 5, 5, 15, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 7, 7, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 5, 6, 5, 5, 6, 6, 5, 15, 17, 5, 5, 7, 7, 5, 6, 5, 6, 5, 5, 6, 6, 16, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 2, 1, 1, 1, 1, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 16, 6, 7, 5] ;
courses_of = [{35, 39, 40, 45, 46, 47, 48, 49, 53, 181, 61, 62, 67, 102, 103, 104, 105, 107, 108, 109, 111, 116, 124}, {35, 38, 39, 40, 45, 46, 47, 48, 49, 53, 58, 62, 64, 67, 102, 103, 104, 105, 107, 108, 109, 110, 116}, {16, 35, 36, 37, 38, 39, 40, 41, 42, 45, 46, 47, 48, 182, 183, 78, 97, 98, 102, 103, 106, 116, 118}, {138, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 182, 183, 99, 100, 101, 102, 103, 116, 118}, {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 149, 23, 25, 163, 178, 204, 206, 112, 113}, {2, 8, 9, 10, 11, 14, 16, 17, 19, 20, 149, 21, 22, 23, 24, 26, 27, 28, 29, 30, 25, 31, 32, 33, 34, 163, 179, 205, 207, 112, 117}, {41, 176, 177, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 189, 60, 194, 201, 114, 121, 122, 123, 124, 125}, {176, 177, 49, 50, 52, 53, 54, 55, 56, 57, 60, 189, 61, 62, 64, 63, 194, 195, 200, 201, 202, 108, 114, 122, 123, 124}, {41, 176, 177, 49, 50, 51, 53, 54, 55, 56, 57, 60, 189, 65, 66, 67, 68, 195, 201, 208, 81, 114, 122, 124}, {180, 184, 185, 186, 187, 188, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 95, 96, 115, 119, 120}, {16, 17, 184, 185, 186, 187, 188, 196, 69, 70, 71, 72, 73, 77, 78, 79, 82, 84, 85, 86, 87, 88, 95, 96, 115, 119, 120}, {180, 184, 185, 186, 187, 188, 69, 70, 71, 72, 73, 76, 77, 78, 79, 89, 90, 91, 92, 93, 94, 95, 96, 115, 119, 120}, {129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 158, 159, 161, 162, 190, 191, 192, 193, 84, 88, 109}, {128, 129, 2, 142, 14, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 27, 156, 157, 158, 160, 162, 163, 109, 126}, {129, 2, 132, 5, 142, 14, 144, 145, 146, 150, 151, 153, 154, 27, 155, 156, 158, 157, 160, 33, 162, 163, 109, 126, 127}, {164, 165, 166, 167, 168, 169, 170, 171, 172, 198, 203, 175}, {164, 165, 166, 167, 168, 169, 170, 171, 172, 198, 203, 175}, {164, 165, 166, 167, 168, 169, 170, 171, 197, 173, 198, 203}, {164, 165, 166, 167, 168, 169, 170, 171, 197, 199, 174, 203}] ;
precedes = array2d(precedences,1..2, [6, 33, 6, 206, 6, 207, 7, 33, 7, 206, 7, 207, 10, 11, 16, 17, 20, 33, 20, 206, 20, 207, 24, 33, 24, 206, 24, 207, 25, 33, 25, 206, 25, 207, 26, 33, 26, 206, 26, 207, 28, 33, 28, 206, 28, 207, 31, 149, 35, 48, 35, 64, 36, 48, 36, 64, 16, 48, 16, 64, 43, 48, 43, 64, 49, 59, 49, 64, 49, 65, 49, 123, 49, 41, 50, 59, 50, 64, 50, 65, 50, 123, 50, 41, 51, 59, 51, 64, 51, 65, 51, 123, 51, 41, 52, 59, 52, 64, 52, 108, 52, 65, 52, 123, 52, 41, 53, 58, 61, 59, 61, 63, 61, 64, 61, 65, 61, 123, 61, 41, 66, 68, 96, 69, 102, 48, 102, 64, 104, 105, 104, 183, 107, 48, 107, 64, 108, 48, 108, 64, 49, 48, 110, 48, 110, 64, 118, 48, 118, 108, 118, 64, 122, 59, 126, 5, 128, 152, 130, 126, 130, 84, 130, 144, 130, 5, 130, 157, 132, 127, 135, 134, 136, 126, 136, 84, 136, 144, 136, 5, 136, 157, 137, 126, 137, 84, 137, 144, 137, 5, 137, 157, 145, 146, 149, 126, 149, 84, 149, 144, 149, 5, 149, 157, 163, 126, 163, 84, 163, 144, 163, 2, 163, 5, 163, 157, 14, 126, 14, 84, 14, 144, 14, 5, 14, 157, 150, 126, 150, 84, 150, 144, 150, 5, 150, 157, 151, 154, 153, 156, 157, 155, 158, 126, 158, 84, 158, 144, 158, 5, 158, 157, 163, 33, 163, 206, 163, 207, 166, 203, 176, 177, 182, 105, 182, 183, 189, 59, 189, 64, 189, 65, 189, 123, 189, 41, 190, 126, 190, 84, 190, 144, 190, 5, 190, 157, 192, 126, 192, 84, 192, 144, 192, 5, 192, 157, 204, 15] );
undesirable = array2d(undesirables,1..2, [4, 1, 4, 4, 14, 1, 14, 4, 15, 3, 15, 6, 22, 1, 22, 4, 27, 1, 27, 4, 29, 3, 29, 6, 30, 2, 30, 5, 31, 3, 31, 6, 33, 2, 33, 5, 36, 3, 36, 6, 40, 1, 40, 4, 40, 2, 40, 5, 48, 3, 48, 6, 50, 3, 50, 6, 56, 2, 56, 5, 58, 2, 58, 5, 59, 2, 59, 5, 60, 3, 60, 6, 61, 3, 61, 6, 70, 3, 70, 6, 73, 3, 73, 6, 76, 2, 76, 5, 79, 3, 79, 6, 83, 3, 83, 6, 84, 3, 84, 6, 92, 3, 92, 6, 93, 1, 93, 4, 96, 1, 96, 4, 100, 2, 100, 5, 101, 1, 101, 4, 103, 3, 103, 6, 104, 3, 104, 6, 107, 3, 107, 6, 110, 1, 110, 4, 110, 3, 110, 6, 111, 1, 111, 4, 116, 2, 116, 5, 128, 1, 128, 4, 129, 1, 129, 4, 133, 2, 133, 5, 133, 3, 133, 6, 134, 2, 134, 5, 137, 3, 137, 6, 143, 2, 143, 5, 143, 3, 143, 6, 144, 1, 144, 4, 163, 3, 163, 6, 164, 1, 164, 4, 169, 3, 169, 6, 173, 1, 173, 4, 175, 2, 175, 5, 186, 2, 186, 5, 188, 3, 188, 6, 190, 1, 190, 4, 194, 3, 194, 6, 198, 3, 198, 6, 199, 2, 199, 5, 199, 3, 199, 6, 205, 3, 205, 6, 208, 1, 208, 4] );
% {'c824': 154, 'c543': 97, 'c825': 155, 'c433': 20, 'c417': 6, 'c527': 84, 'c546': 99, 'c415': 4, 'c993': 181, 'c501': 65, 'c1063': 198, 'c1002': 185, 'c478': 53, 'c833': 160, 'c794': 131, 'c456': 40, 'c1068': 201, 'c427': 14, 'c834': 161, 'c462': 45, 'c1057': 196, 'c454': 38, 'c512': 72, 'c820': 150, 'c1055': 195, 'c422': 10, 'c1046': 192, 'c441': 27, 'c1021': 190, 'c457': 41, 'c429': 16, 'c852': 169, 'c738': 123, 'c516': 76, 'c513': 73, 'c847': 167, 'c502': 66, 'c426': 13, 'c830': 158, 'c534': 89, 'c450': 35, 'c538': 93, 'c745': 124, 'c871': 175, 'c461': 44, 'c442': 28, 'c853': 170, 'c458': 42, 'c474': 49, 'c476': 51, 'c855': 171, 'c525': 82, 'c541': 96, 'c1047': 193, 'c793': 130, 'c411': 2, 'c465': 48, 'c533': 88, 'c599': 107, 'c475': 50, 'c484': 55, 'c437': 23, 'c1079': 205, 'c932': 178, 'c495': 61, 'c816': 149, 'c856': 172, 'c846': 166, 'c561': 103, 'c730': 121, 'c449': 34, 'c607': 111, 'c430': 17, 'c566': 105, 'c438': 24, 'c790': 128, 'c507': 69, 'c455': 39, 'c718': 117, 'c789': 127, 'c536': 91, 'c443': 29, 'c835': 162, 'c845': 165, 'c445': 31, 'c1001': 184, 'c747': 125, 'c724': 119, 'c600': 108, 'c869': 174, 'c598': 106, 'c826': 156, 'c489': 58, 'c812': 145, 'c412': 3, 'c670': 113, 'c796': 133, 'c866': 173, 'c540': 95, 'c463': 46, 'c814': 147, 'c440': 26, 'c409': 1, 'c464': 47, 'c800': 136, 'c423': 11, 'c850': 168, 'c806': 140, 'c804': 139, 'c997': 183, 'c840': 164, 'c996': 182, 'c431': 18, 'c1074': 204, 'c460': 43, 'c1067': 200, 'c531': 86, 'c797': 134, 'c606': 110, 'c788': 126, 'c421': 9, 'c487': 57, 'c498': 64, 'c564': 104, 'c922': 177, 'c444': 30, 'c416': 5, 'c1014': 189, 'c503': 67, 'c1094': 208, 'c801': 137, 'c535': 90, 'c808': 142, 'c676': 114, 'c725': 120, 'c1053': 194, 'c530': 85, 'c491': 59, 'c479': 54, 'c537': 92, 'c1003': 186, 'c1082': 207, 'c836': 163, 'c477': 52, 'c795': 132, 'c496': 62, 'c936': 180, 'c544': 98, 'c737': 122, 'c1071': 202, 'c828': 157, 'c494': 60, 'c716': 116, 'c506': 68, 'c446': 32, 'c511': 71, 'c1066': 199, 'c524': 81, 'c497': 63, 'c1005': 188, 'c532': 87, 'c523': 80, 'c791': 129, 'c831': 159, 'c419': 7, 'c554': 101, 'c425': 12, 'c807': 141, 'c435': 21, 'c436': 22, 'c447': 33, 'c1062': 197, 'c823': 153, 'c1022': 191, 'c602': 109, 'c678': 115, 'c822': 152, 'c798': 135, 'c1072': 203, 'c813': 146, 'c515': 75, 'c428': 15, 'c811': 144, 'c510': 70, 'c721': 118, 'c486': 56, 'c432': 19, 'c1081': 206, 'c539': 94, 'c452': 36, 'c520': 78, 'c439': 25, 'c933': 179, 'c1004': 187, 'c921': 176, 'c526': 83, 'c514': 74, 'c560': 102, 'c519': 77, 'c803': 138, 'c453': 37, 'c647': 112, 'c521': 79, 'c810': 143, 'c551': 100, 'c420': 8, 'c815': 148, 'c821': 151}

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%------------------------------------------------------------------------------%
%% Generalised Balanced Academic Curriculum problem
%%
%% Problem 64 in CSPlib:
%% http://www.csplib.org/Problems/prob064/
%%
%% See http://satt.diegm.uniud.it/projects/gbac/
%% for a detailed explanation of the problem.
%% Note that the distance from the ideal load,
%% which is a part of the objective, is computed
%% using the squared error. This is following
%% http://dx.doi.org/10.1007/978-3-540-88439-2_11
%% and allows the found objective value to be
%% compared with found objectives reported on
%% http://satt.diegm.uniud.it/projects/gbac/
%%
%
%------------------------------------------------------------------------------%
% Model by Jean-Noel Monette
% Modified by Gustav Bjordal
% with help by Fatima Zohra Lebbah, Justin Pearson, and Pierre Flener
%
%------------------------------------------------------------------------------%
% Includes
include "globals.mzn";
%------------------------------------------------------------------------------%
% Parameters
int: n_courses;
set of int: courses = 1..n_courses;
int: n_periods;
set of int: periods = 1..n_periods;
int: n_curricula;
set of int: curricula = 1..n_curricula;
array[curricula] of set of courses: courses_of;
int: n_precedences;
set of int: precedences = 1..n_precedences;
array[precedences,1..2] of int: precedes;
int: min_courses;
int: max_courses;
array[courses] of int: course_load;
int: max_load = sum(c in courses)(course_load[c]);
array [curricula] of int: total_load = [sum(i in courses_of[c])(course_load[i]) | c in curricula];
array [curricula] of int: ideal_load_floor = [total_load[c] div n_periods | c in curricula];
array [curricula] of int: ideal_load_ceil = [total_load[c] div n_periods + (if total_load[c] mod n_periods ==0 then 0 else 1 endif) | c in curricula];
int: n_undesirables;
set of int: undesirables = 1..n_undesirables;
array [undesirables,1..2] of int: undesirable;
%weight of the load balancing
int: w1;
%weight of the undesirable assignment violations
int: w2;
%------------------------------------------------------------------------------%
% Variables
%decision variable
array [courses] of var periods: period_of;
%------------------------------------------------------------------------------%
% Constraints
%course load of all periods for each curriculum
constraint forall(c in curricula)(
global_cardinality_low_up_closed(
[period_of[i]|i in courses_of[c]],
[i|i in periods],
[min_courses |i in periods],
[max_courses |i in periods])
);
%prerequisites
constraint forall(i in precedences)(
period_of[precedes[i,1]] < period_of[precedes[i,2]]
);
%period load
constraint forall(c in curricula)(
bin_packing_load(
[load_of[c,p] |p in periods],
[period_of[i] |i in courses_of[c]],
[course_load[i] |i in courses_of[c]])
);
%violation
var 0..n_undesirables: undesirable_violation = sum(i in undesirables)(
bool2int(period_of[undesirable[i,1]]==undesirable[i,2])
);
%load of periods
array [curricula,periods] of var 0..max_load: load_of;
%course balance delta
array [curricula,periods] of var 0..max_load: delta;
var int: norm = sum([delta[c,p]*delta[c,p]|c in curricula, p in periods]);
%norm
constraint forall(c in curricula, p in periods)(
delta[c,p] = max(load_of[c,p]-ideal_load_ceil[c],
ideal_load_floor[c]-load_of[c,p])
);
%objective
var int: objective;
constraint objective = w1 * norm + w2 * undesirable_violation;
%------------------------------------------------------------------------------%
% Output
constraint trace("% init_area = \(ub(objective));\n", true);
output
["objective = ", show(objective)] ++[";\n"] ++
["period_of = ", show(period_of)] ++ [";\n"];

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include "gbac.mzn";
include "../lib.mzn";
predicate int_eq_imp(var int: x, var int: y, var bool: b);
predicate bool_eq_imp(var bool: x, var bool: y, var bool: b);
predicate random_allocation(var bool: b) = forall(i in courses) (
int_eq_imp(period_of[i], sol(period_of[i]), b /\ (uniform_internal(1,100) < 80))
);
predicate free_period(var bool: b) = let {
var int: period = uniform_internal(periods);
} in forall(i in courses) (
int_eq_imp(period_of[i], sol(period_of[i]), b /\ (sol(period_of[i]) != period))
);
% Round Robin
array[1..2] of var bool: nbh;
constraint random_allocation(nbh[1]);
constraint free_period(nbh[2]);
var 0..10000000: restart = restart_number();
var 1..2: select = (restart mod 2) + 1;
constraint bool_eq_imp(nbh[1], false, status() == UNKNOWN);
constraint bool_eq_imp(nbh[2], false, status() == UNKNOWN);
constraint bool_eq_imp(nbh[1], select == 1, status() != UNKNOWN);
constraint bool_eq_imp(nbh[2], select == 2, status() != UNKNOWN);
annotation main_vars(array[int] of var int: vars);
solve
:: main_vars(period_of)
:: int_search(period_of,first_fail,indomain_min,complete) minimize objective;

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include "gbac.mzn";
annotation main_vars(array[int] of var int: vars);
solve
:: main_vars(period_of)
:: int_search(period_of,first_fail,indomain_min,complete) minimize objective;

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% A reduced (simplified) version of the UD4 instance
% of http://satt.diegm.uniud.it/projects/gbac/
%
% The instance is reduced by removing all courses
% that do not have an undesired period and lowering
% min_courses to 0, so as not to make the instance UNSAT.
%
% Ing@UD aa02-03, VOD
n_periods = 6 ;
n_courses = 36 ;
n_curricula = 16 ;
min_courses = 0 ;
max_courses = 6 ;
n_precedences = 12 ;
n_undesirables = 80 ;
w1 = 1;
w2 = 1;
course_load = [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6] ;
courses_of = [{1, 2, 3, 35, 8, 28, 29, 30}, {1, 3, 4, 5, 35, 28, 29, 30}, {1, 35, 6, 8, 28, 29, 30}, {1, 35, 4, 6, 7, 28, 29, 30}, {34, 9, 10, 11, 12, 13, 15, 17, 18}, {34, 9, 10, 11, 12, 13, 14, 15, 18}, {9, 10, 11, 12, 14, 15, 16, 17, 18}, {32, 33, 19, 20, 21, 22, 24, 27}, {32, 33, 19, 20, 21, 24, 27}, {32, 33, 4, 19, 20, 21, 24, 27}, {32, 33, 19, 20, 21, 24, 25, 27}, {32, 33, 13, 19, 20, 21, 23, 24, 27}, {25, 26, 19, 36, 31}, {25, 26, 19, 36, 31}, {4, 36, 19, 25, 26, 31}, {25, 26, 19, 36, 31}] ;
precedes = array2d(precedences,1..2, [2, 5, 2, 7, 2, 30, 9, 17, 9, 18, 10, 17, 10, 18, 23, 21, 23, 33, 31, 36, 32, 21, 32, 33] );
undesirable = array2d(undesirables,1..2, [1, 1, 1, 4, 2, 1, 2, 4, 3, 3, 3, 6, 4, 1, 4, 4, 5, 2, 5, 5, 5, 3, 5, 6, 6, 2, 6, 5, 7, 2, 7, 5, 8, 3, 8, 6, 9, 2, 9, 5, 10, 2, 10, 5, 11, 2, 11, 5, 11, 3, 11, 6, 12, 3, 12, 6, 13, 3, 13, 6, 14, 2, 14, 5, 15, 3, 15, 6, 16, 3, 16, 6, 17, 3, 17, 6, 18, 3, 18, 6, 19, 1, 19, 4, 20, 2, 20, 5, 21, 3, 21, 6, 22, 3, 22, 6, 23, 3, 23, 6, 23, 1, 23, 4, 24, 1, 24, 4, 25, 3, 25, 6, 25, 2, 25, 5, 26, 1, 26, 4, 27, 3, 27, 6, 28, 3, 28, 6, 29, 1, 29, 4, 30, 2, 30, 5, 31, 2, 31, 5, 32, 3, 32, 6, 33, 1, 33, 4, 34, 3, 34, 6, 35, 3, 35, 6, 36, 1, 36, 4] );
% {'c308': 7, 'c335': 15, 'c648': 31, 'c655': 34, 'c344': 18, 'c303': 6, 'c320': 10, 'c352': 21, 'c328': 13, 'c284': 1, 'c635': 30, 'c321': 11, 'c650': 32, 'c361': 23, 'c634': 29, 'c338': 16, 'c333': 14, 'c381': 25, 'c319': 9, 'c356': 22, 'c350': 20, 'c376': 24, 'c346': 19, 'c322': 12, 'c664': 36, 'c651': 33, 'c623': 27, 'c301': 5, 'c388': 26, 'c343': 17, 'c658': 35, 'c315': 8, 'c631': 28, 'c291': 3, 'c290': 2, 'c300': 4}

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/***
@groupdef internal Internal Builtins
These annotations and functions provide the basic building blocks to implement
meta-heuristics and governed search with the use of solver internal values and
functionality.
*/
/*
A search annotation that supplies a function to be executed on restart
*/
ann: on_restart(string: pred);
/*
The 'status' function reports the status of the solver (before restarting).
*/
enum STATUS = {UNKNOWN, UNSAT, SAT, OPT};
function var STATUS: status();
function var int: restart_number();
/*
The 'rnd' function provides random values chosen by the solver. The arguments
to the function limit the values to a certain domain.
*/
function var int: uniform_internal(int: i, int: j) ::impure = int_uniform(i, j);
function var int: uniform_internal(set of int: S) ::impure =
if card(S) == max(S) - min(S) + 1 then
int_uniform(min(S),max(S))
else
[ i | i in S ][int_uniform(1,card(S))]
endif;
/*
'int_rnd' is the random intrinsic that needs to be implemented by the solver.
*/
function var int: int_uniform(int: a, int: b) ::impure;
/*
The 'sol' functions provides access to solution values of model variables. The
sol functions are only safe to use when the solver status is not UNKNOWN.
*/
function var bool: sol(var bool: x) =
if is_fixed(x) then
fix(x)
else
bool_sol(x)
endif;
function var float: sol(var float: x) =
if is_fixed(x) then
fix(x)
else
float_sol(x)
endif;
function var int: sol(var int: x) =
if is_fixed(x) then
fix(x)
else
int_sol(x)
endif;
function array[int] of var bool: sol(array[int] of var bool: x) =
[if is_fixed(x[i]) then fix(x[i]) else bool_sol(x[i]) endif | i in index_set(x)];
function array[int] of var float: sol(array[int] of var float: x) =
[if is_fixed(x[i]) then fix(x[i]) else float_sol(x[i]) endif | i in index_set(x)];
function array[int] of var int: sol(array[int] of var int: x) =
[if is_fixed(x[i]) then fix(x[i]) else int_sol(x[i]) endif | i in index_set(x)];
/*
'bool_rnd', 'float_sol', and 'int_sol' are the solution intrinsics that needs
to be implemented by the solver.
*/
function var bool: bool_sol(var bool: a);
function var float: float_sol(var float: a);
function var int: int_sol(var int: a);
/*
'round_robin' provides a metaheuristic for LNS where each neighbourhood is
chosen sequentially.
*/
predicate round_robin(array[int] of var bool: nbhs) =
let {
set of int: N = index_set(nbhs);
% Neighbourhood control variables
array[N] of var bool: control;
% Neighbourhood selection
var N: select;
} in forall(i in N) (control[i] -> nbhs[i]) /\
if status() == UNKNOWN then
control = [false | i in N]
/\ select = max(N)
else
select = (sol(select) + 1) mod card(N)
/\ control = [i == select | i in N]
endif;

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*.rec

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n_tasks = 32;
n_res = 4;
d = [0, 1, 1, 1, 7, 6, 4, 5, 8, 7, 8, 1, 2, 3, 10, 10, 2, 10, 1, 1, 7, 9, 9, 4, 4, 1, 1, 8, 1, 2, 7, 0];
rr = array2d(
1..4,
1..32,
[
0, 0, 0, 8, 0, 0, 1, 0, 0, 0, 9, 7, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0,
0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 7, 0, 0, 0, 0, 0, 2, 0, 0, 4, 3, 0, 0, 0, 0, 8, 4, 0,
0, 0, 0, 0, 2, 0, 0, 10, 3, 0, 0, 0, 0, 0, 0, 0, 3, 4, 0, 7, 0, 0, 7, 0, 0, 4, 0, 0, 0, 0, 0, 0,
0, 5, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 10, 0, 0, 0, 0, 0, 9, 1, 0, 0, 0
]
);
rc = [10, 8, 13, 12];
suc = [
{2, 3, 4},
{23, 24},
{5, 6, 17},
{7, 20},
{10, 22, 28},
{18},
{8, 9, 12},
{14, 21, 27},
{11, 16},
{16},
{17},
{13, 15, 16},
{30},
{19},
{26},
{25},
{24},
{21},
{25},
{25, 27},
{22},
{29, 30},
{31},
{27},
{26},
{30},
{28},
{31},
{32},
{32},
{32},
{}
];
t_max = 56;
deadline = array2d(
1..32,
1..3,
[
1, 5, 4,
2, 2, 2,
6, 4, 0,
0, 5, 2,
17, 0, 2,
8, 1, 5,
10, 0, 0,
10, 5, 2,
7, 2, 0,
19, 2, 2,
15, 1, 1,
9, 1, 0,
24, 3, 3,
11, 5, 5,
7, 1, 4,
35, 5, 2,
29, 4, 1,
15, 5, 5,
18, 3, 0,
3, 4, 2,
21, 3, 4,
42, 2, 2,
18, 4, 3,
26, 2, 0,
38, 4, 5,
47, 2, 1,
32, 5, 4,
33, 5, 1,
50, 5, 3,
49, 1, 3,
45, 0, 4,
55, 5, 4
]
);
%s = [0, 0, 0, 0, 10, 1, 1, 5, 5, 17, 13, 5, 16, 10, 6, 28, 21, 10, 13, 1, 20, 36, 13, 23, 38, 42, 27, 28, 45, 45, 36, 47];

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n_tasks = 32;
n_res = 4;
d = [0, 6, 9, 1, 9, 1, 5, 7, 1, 10, 6, 8, 5, 9, 5, 9, 1, 1, 3, 6, 8, 6, 4, 5, 4, 3, 2, 9, 7, 3, 2, 0];
rr = array2d(
1..4,
1..32,
[
0, 0, 1, 0, 0, 8, 7, 6, 0, 0, 1, 0, 0, 7, 9, 0, 1, 8, 10, 0, 7, 10, 8, 7, 4, 7, 9, 1, 9, 4, 10, 0,
0, 2, 0, 2, 10, 5, 0, 0, 10, 3, 2, 0, 2, 10, 0, 7, 9, 7, 0, 6, 0, 4, 9, 1, 4, 9, 0, 10, 10, 10, 8, 0,
0, 0, 5, 10, 7, 0, 9, 6, 3, 7, 7, 7, 4, 8, 1, 2, 2, 0, 9, 4, 6, 9, 0, 6, 0, 7, 4, 0, 3, 10, 0, 0,
0, 9, 4, 8, 7, 1, 7, 0, 2, 10, 1, 5, 7, 0, 7, 0, 4, 0, 0, 7, 9, 6, 4, 4, 5, 10, 1, 3, 2, 10, 10, 0
]
);
rc = [19, 21, 22, 25];
suc = [
{2, 3, 4},
{6, 15, 18},
{5, 15, 18},
{6, 7, 16},
{8, 14, 16},
{8, 11, 14},
{9, 12, 23},
{10, 12, 17},
{10, 13, 20},
{22, 30},
{19, 23, 25},
{21},
{15, 18, 19},
{17, 19, 25},
{29, 31},
{23, 27, 30},
{20, 21},
{22, 25, 27},
{21, 26, 28},
{24, 26, 27},
{22, 30},
{24},
{29},
{29},
{26, 28},
{31},
{28},
{31},
{32},
{32},
{32},
{}
];
t_max = 72;
deadline = array2d(
1..32,
1..3,
[
1, 5, 4,
3, 2, 2,
8, 4, 0,
0, 5, 2,
18, 0, 2,
15, 1, 5,
12, 0, 0,
25, 5, 2,
8, 2, 0,
34, 2, 2,
10, 1, 1,
30, 1, 0,
17, 3, 3,
20, 5, 5,
13, 1, 4,
27, 5, 2,
37, 4, 1,
19, 5, 5,
33, 3, 0,
31, 4, 2,
36, 3, 4,
50, 2, 2,
34, 4, 3,
53, 2, 0,
33, 4, 5,
55, 2, 1,
43, 5, 4,
46, 5, 1,
59, 5, 3,
61, 1, 3,
63, 0, 4,
70, 5, 4
]
);
%s = [0, 0, 0, 0, 9, 6, 1, 18, 6, 32, 7, 25, 7, 18, 12, 18, 27, 12, 27, 28, 34, 42, 28, 48, 33, 48, 37, 39, 53, 56, 51, 60];

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n_tasks = 62;
n_res = 4;
d = [0, 2, 5, 4, 9, 6, 3, 10, 10, 2, 6, 4, 6, 10, 6, 4, 7, 10, 4, 7, 7, 6, 6, 6, 3, 1, 8, 5, 6, 8, 4, 4, 7, 2, 1, 5, 3, 8, 10, 8, 2, 3, 6, 6, 1, 9, 9, 4, 10, 10, 3, 10, 7, 8, 4, 5, 2, 1, 10, 4, 5, 0];
rr = array2d(
1..4,
1..62,
[
0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 4, 7, 0, 0, 0, 8, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0,
0, 0, 0, 0, 0, 7, 2, 9, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 5, 0, 7, 0, 0, 2, 6, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 2, 7, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0,
0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 1, 0, 5, 0, 5, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 4, 0, 7, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 4, 0, 8, 0, 0, 3, 10, 8, 0, 5, 0, 0,
0, 0, 1, 10, 0, 0, 0, 0, 8, 6, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 10, 8, 0, 9, 0, 0, 0, 8, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 0, 0, 2, 7, 0, 0, 0, 0, 0, 0, 0
]
);
rc = [21, 21, 19, 21];
suc = [
{2, 3, 4},
{8, 36, 46},
{9},
{5, 10, 32},
{6, 7, 9},
{45, 59},
{11, 33, 38},
{17, 31, 59},
{16, 20},
{12, 13, 44},
{14, 15},
{23, 31},
{18, 27, 37},
{17},
{21},
{19, 27},
{26, 29},
{23, 29},
{39},
{24, 30, 61},
{22, 44, 48},
{28, 41, 42},
{35, 38, 58},
{25, 48},
{59},
{30, 37, 55},
{39},
{45},
{52},
{49},
{33, 37, 43},
{34, 50, 54},
{35},
{36, 40, 42},
{52, 54},
{51},
{47},
{41, 43},
{48, 51},
{53, 61},
{51, 52},
{46, 47, 49},
{54},
{45, 47, 56},
{50},
{53, 58},
{57},
{49},
{56},
{58},
{55},
{53, 55},
{60},
{56},
{57},
{60},
{61},
{60},
{62},
{62},
{62},
{}
];
t_max = 83;
deadline = array2d(
1..62,
1..3,
[
2, 5, 4,
3, 2, 2,
9, 4, 0,
0, 5, 2,
15, 0, 2,
23, 1, 5,
26, 0, 0,
10, 5, 2,
16, 2, 0,
7, 2, 2,
19, 1, 1,
12, 1, 0,
18, 3, 3,
24, 5, 5,
23, 1, 4,
33, 5, 2,
44, 4, 1,
20, 5, 5,
34, 3, 0,
26, 4, 2,
30, 3, 4,
45, 2, 2,
29, 4, 3,
35, 2, 0,
36, 4, 5,
49, 2, 1,
34, 5, 4,
49, 5, 1,
46, 5, 3,
48, 1, 3,
26, 0, 4,
16, 5, 4,
28, 3, 3,
14, 0, 5,
36, 1, 3,
17, 2, 2,
50, 3, 3,
34, 0, 1,
37, 3, 5,
21, 4, 4,
44, 5, 4,
44, 0, 0,
47, 1, 0,
48, 2, 0,
48, 3, 1,
50, 4, 2,
53, 2, 0,
50, 2, 1,
51, 5, 3,
50, 3, 4,
49, 0, 0,
55, 0, 4,
65, 3, 1,
56, 4, 3,
58, 3, 2,
68, 1, 3,
62, 1, 5,
71, 1, 5,
43, 5, 4,
71, 1, 0,
77, 0, 4,
83, 3, 1
]
);
%s = [0, 0, 0, 0, 4, 13, 13, 2, 13, 4, 16, 6, 6, 22, 22, 23, 32, 12, 27, 23, 28, 35, 22, 30, 36, 41, 27, 41, 39, 42, 12, 4, 16, 8, 28, 10, 42, 28, 35, 10, 41, 43, 36, 39, 46, 46, 49, 45, 50, 47, 49, 45, 55, 42, 55, 60, 62, 58, 39, 65, 64, 69];

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n_tasks = 62;
n_res = 4;
d = [0, 7, 3, 1, 5, 2, 5, 6, 6, 7, 2, 4, 3, 2, 10, 10, 1, 8, 10, 8, 7, 2, 7, 5, 4, 7, 7, 5, 4, 5, 9, 1, 2, 1, 7, 6, 10, 6, 6, 6, 9, 5, 4, 2, 7, 2, 4, 8, 8, 5, 1, 4, 5, 5, 4, 10, 4, 6, 1, 3, 3, 0];
rr = array2d(
1..4,
1..62,
[
0, 0, 6, 3, 4, 3, 6, 5, 6, 0, 0, 10, 5, 3, 3, 1, 5, 5, 1, 0, 0, 2, 1, 8, 8, 9, 2, 6, 6, 0, 0, 0, 0, 7, 2, 0, 2, 3, 10, 6, 2, 3, 2, 2, 10, 0, 0, 0, 0, 0, 6, 0, 3, 0, 2, 9, 4, 1, 4, 6, 0, 0,
0, 5, 9, 8, 10, 1, 10, 0, 0, 4, 7, 1, 3, 10, 2, 4, 10, 0, 9, 7, 10, 3, 0, 7, 2, 7, 1, 5, 1, 10, 6, 10, 1, 0, 0, 3, 10, 10, 7, 5, 7, 7, 0, 5, 9, 6, 5, 10, 1, 2, 1, 7, 3, 0, 3, 9, 1, 1, 4, 8, 1, 0,
0, 9, 4, 8, 0, 0, 7, 0, 7, 0, 4, 7, 7, 8, 10, 1, 5, 0, 9, 7, 5, 6, 8, 6, 8, 10, 0, 0, 7, 8, 0, 0, 5, 0, 5, 3, 4, 6, 0, 0, 6, 8, 1, 2, 9, 9, 0, 8, 8, 7, 0, 0, 7, 6, 5, 5, 6, 0, 2, 6, 10, 0,
0, 5, 4, 1, 3, 8, 5, 9, 0, 0, 8, 3, 0, 0, 3, 10, 0, 6, 0, 3, 0, 0, 10, 1, 2, 8, 8, 0, 1, 2, 7, 8, 4, 7, 7, 7, 0, 3, 2, 0, 3, 1, 0, 4, 7, 3, 9, 0, 1, 1, 8, 0, 8, 9, 0, 7, 0, 7, 5, 0, 7, 0
]
);
rc = [35, 47, 45, 39];
suc = [
{2, 3, 4},
{16},
{5, 8, 34},
{6, 7, 57},
{39},
{10, 23, 27},
{11, 37},
{9, 14, 15},
{11, 37},
{17, 38},
{12, 22, 25},
{13, 21, 41},
{29, 30},
{32, 51},
{24, 31, 42},
{19, 20, 45},
{18, 37, 40},
{42},
{31, 55},
{22, 41, 48},
{26, 32},
{24, 28, 32},
{35, 61},
{27, 36},
{56},
{42, 44},
{44},
{31, 36, 46},
{39, 46, 50},
{33, 39, 48},
{47},
{47},
{50},
{40, 53},
{58},
{56},
{55},
{46},
{40, 52, 53},
{60},
{54},
{43, 45, 47},
{49},
{51, 61},
{48, 52},
{49, 53, 61},
{50, 59},
{59},
{51},
{54},
{52, 56},
{54},
{55},
{58},
{59},
{58},
{60},
{60},
{62},
{62},
{62},
{}
];
t_max = 86;
deadline = array2d(
1..62,
1..3,
[
2, 5, 4,
3, 2, 2,
9, 4, 0,
0, 5, 2,
14, 0, 2,
11, 1, 5,
14, 0, 0,
11, 5, 2,
12, 2, 0,
6, 2, 2,
18, 1, 1,
23, 1, 0,
33, 3, 3,
11, 5, 5,
10, 1, 4,
17, 5, 2,
22, 4, 1,
19, 5, 5,
24, 3, 0,
20, 4, 2,
23, 3, 4,
35, 2, 2,
10, 4, 3,
32, 2, 0,
17, 4, 5,
36, 2, 1,
39, 5, 4,
35, 5, 1,
31, 5, 3,
30, 1, 3,
46, 0, 4,
40, 5, 4,
41, 3, 3,
9, 0, 5,
18, 1, 3,
39, 2, 2,
23, 3, 3,
16, 0, 1,
31, 3, 5,
46, 4, 4,
28, 5, 4,
36, 0, 0,
51, 1, 0,
48, 2, 0,
42, 3, 1,
36, 4, 2,
45, 2, 0,
52, 2, 1,
45, 5, 3,
48, 3, 4,
52, 0, 0,
63, 0, 4,
45, 3, 1,
71, 4, 3,
43, 3, 2,
61, 1, 3,
1, 1, 5,
76, 1, 5,
59, 5, 4,
75, 1, 0,
54, 0, 4,
86, 3, 1
]
);
%s = [0, 0, 0, 0, 3, 1, 1, 3, 9, 3, 15, 17, 21, 9, 9, 7, 10, 11, 17, 17, 21, 25, 3, 27, 17, 28, 32, 27, 24, 24, 32, 28, 29, 3, 10, 32, 15, 10, 29, 35, 25, 35, 40, 39, 40, 32, 41, 47, 44, 45, 52, 53, 35, 57, 40, 53, 1, 63, 55, 69, 41, 72];

208
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n_tasks = 92;
n_res = 4;
d = [0, 6, 5, 9, 1, 3, 8, 6, 8, 6, 7, 5, 9, 3, 7, 8, 2, 3, 1, 10, 4, 5, 9, 2, 7, 5, 2, 9, 1, 2, 8, 2, 5, 7, 5, 6, 9, 6, 1, 10, 4, 8, 1, 6, 5, 4, 6, 9, 2, 4, 10, 2, 2, 9, 1, 1, 8, 4, 7, 2, 8, 9, 5, 5, 8, 2, 6, 2, 9, 7, 3, 9, 4, 8, 9, 5, 1, 4, 7, 6, 8, 9, 8, 5, 9, 8, 7, 1, 5, 1, 1, 0];
rr = array2d(
1..4,
1..92,
[
0, 1, 3, 9, 2, 6, 7, 6, 6, 10, 8, 6, 9, 4, 7, 7, 4, 8, 6, 3, 3, 1, 1, 2, 8, 2, 6, 10, 7, 8, 1, 10, 6, 9, 10, 7, 4, 4, 7, 7, 2, 6, 9, 4, 10, 10, 4, 7, 5, 7, 1, 9, 6, 3, 10, 3, 1, 1, 9, 5, 9, 8, 7, 8, 4, 7, 3, 4, 6, 6, 6, 7, 3, 7, 2, 1, 5, 7, 2, 1, 8, 3, 9, 7, 5, 2, 4, 6, 6, 7, 5, 0,
0, 5, 8, 9, 2, 10, 7, 2, 7, 3, 10, 9, 10, 1, 9, 3, 8, 8, 5, 8, 7, 9, 7, 7, 4, 4, 10, 5, 3, 3, 2, 4, 7, 7, 7, 9, 9, 10, 5, 7, 6, 5, 10, 1, 10, 4, 1, 5, 6, 4, 6, 5, 10, 1, 1, 7, 8, 9, 9, 6, 2, 1, 10, 5, 8, 2, 8, 1, 2, 1, 8, 3, 1, 4, 3, 7, 5, 8, 2, 2, 3, 4, 8, 2, 2, 1, 2, 4, 8, 2, 9, 0,
0, 2, 10, 2, 6, 4, 3, 4, 9, 1, 8, 8, 4, 2, 2, 9, 5, 5, 3, 3, 4, 9, 8, 7, 2, 2, 2, 4, 9, 2, 9, 8, 5, 5, 1, 4, 4, 4, 8, 7, 10, 10, 1, 6, 1, 10, 1, 6, 10, 8, 10, 3, 2, 7, 10, 7, 8, 10, 5, 2, 8, 4, 9, 2, 6, 10, 9, 10, 9, 4, 3, 6, 3, 7, 2, 10, 8, 2, 8, 9, 5, 6, 1, 10, 8, 2, 4, 9, 6, 10, 10, 0,
0, 4, 8, 2, 5, 2, 8, 7, 4, 10, 5, 3, 1, 2, 2, 6, 6, 5, 9, 5, 9, 9, 3, 4, 5, 5, 6, 3, 5, 6, 5, 10, 5, 5, 5, 6, 5, 3, 7, 9, 10, 4, 7, 6, 9, 7, 8, 3, 2, 6, 5, 9, 1, 9, 9, 1, 10, 6, 9, 6, 6, 10, 4, 3, 2, 2, 7, 2, 9, 8, 9, 8, 5, 6, 8, 6, 1, 1, 8, 5, 4, 10, 3, 1, 6, 1, 9, 9, 2, 1, 6, 0
]
);
rc = [57, 69, 73, 65];
suc = [
{2, 3, 4},
{5, 6, 7},
{13, 25, 80},
{34, 44, 60},
{8, 35},
{9, 15, 25},
{23, 44, 59},
{17, 52, 72},
{10, 11, 22},
{14, 20, 73},
{12, 18, 47},
{13, 27, 57},
{19, 34, 42},
{61},
{16, 24, 28},
{29, 32, 75},
{31, 54, 62},
{33, 44, 55},
{21, 38, 40},
{24, 26, 88},
{23, 41},
{47, 65, 72},
{50, 51, 69},
{36},
{36, 47, 66},
{27, 28, 30},
{64},
{29, 36, 79},
{62},
{63, 65},
{39, 45, 53},
{43, 53, 64},
{46, 57},
{37, 38, 39},
{37, 39, 48},
{62, 81, 86},
{50, 59, 67},
{54, 63, 70},
{51, 58, 59},
{72},
{50, 65, 67},
{52, 56, 82},
{60, 61},
{52, 56, 57},
{55, 61},
{49},
{58},
{49, 51, 68},
{53, 54},
{55, 56, 58},
{70, 74},
{66, 70},
{60, 84},
{64, 91},
{74},
{68, 74},
{66, 67, 80},
{82, 85},
{77},
{63, 79},
{68, 76, 78},
{87},
{90},
{71, 89},
{71},
{69, 73, 75},
{69, 85},
{81},
{71, 84},
{73, 86},
{81},
{77, 78},
{77},
{75, 78},
{83},
{79, 85},
{84, 89},
{87, 88},
{80, 82},
{83},
{90},
{83, 86},
{91},
{91},
{88},
{87},
{89},
{90},
{92},
{92},
{92},
{}
];
t_max = 109;
deadline = array2d(
1..92,
1..3,
[
2, 5, 4,
4, 2, 2,
12, 4, 0,
0, 5, 2,
20, 0, 2,
19, 1, 5,
23, 0, 0,
17, 5, 2,
13, 2, 0,
21, 2, 2,
21, 1, 1,
32, 1, 0,
44, 3, 3,
26, 5, 5,
11, 1, 4,
29, 5, 2,
28, 4, 1,
35, 5, 5,
47, 3, 0,
27, 4, 2,
42, 3, 4,
29, 2, 2,
52, 4, 3,
40, 2, 0,
9, 4, 5,
44, 2, 1,
47, 5, 4,
48, 5, 1,
56, 5, 3,
46, 1, 3,
33, 0, 4,
39, 5, 4,
42, 3, 3,
46, 0, 5,
17, 1, 3,
56, 2, 2,
55, 3, 3,
53, 0, 1,
48, 3, 5,
54, 4, 4,
47, 5, 4,
39, 0, 0,
40, 1, 0,
38, 2, 0,
26, 3, 1,
37, 4, 2,
30, 2, 0,
19, 2, 1,
38, 5, 3,
57, 3, 4,
52, 0, 0,
59, 0, 4,
50, 3, 1,
69, 4, 3,
62, 3, 2,
68, 1, 3,
34, 1, 5,
74, 1, 5,
59, 5, 4,
47, 1, 0,
44, 0, 4,
71, 3, 1,
67, 5, 4,
69, 2, 2,
50, 4, 2,
51, 0, 3,
59, 2, 1,
75, 5, 0,
63, 1, 5,
76, 2, 1,
81, 5, 5,
55, 5, 4,
78, 5, 1,
75, 0, 1,
87, 1, 4,
47, 5, 2,
79, 1, 5,
81, 5, 5,
49, 3, 0,
54, 0, 5,
86, 4, 2,
73, 4, 2,
89, 1, 0,
79, 5, 3,
79, 2, 1,
85, 4, 0,
91, 0, 0,
90, 0, 1,
104, 2, 0,
83, 1, 4,
88, 5, 2,
109, 5, 1
]
);
%s = [0, 0, 0, 0, 6, 6, 6, 7, 9, 17, 17, 24, 29, 23, 9, 16, 13, 24, 38, 23, 39, 17, 43, 33, 9, 33, 38, 38, 47, 38, 15, 24, 27, 38, 7, 47, 45, 45, 45, 39, 43, 38, 26, 27, 23, 32, 24, 12, 36, 54, 52, 46, 38, 51, 58, 58, 33, 58, 54, 40, 28, 53, 51, 60, 47, 48, 54, 59, 60, 62, 69, 49, 69, 62, 70, 36, 73, 70, 47, 54, 72, 62, 79, 74, 62, 71, 79, 74, 86, 80, 87, 91];

36
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include "rcpsp-wet.mzn";
include "../lib.mzn";
predicate int_eq_imp(var int: x, var int: y, var bool: b);
predicate bool_eq_imp(var bool: x, var bool: y, var bool: b);
predicate randomize(var bool: b) =
forall(t in Tasks) (
int_eq_imp(s[t], sol(s[t]), b /\ uniform_internal(1,100) < 80)
);
predicate free_timeslot(var bool: b) =
let {
int: slot = max(Times) div 10;
var int: time = uniform_internal(min(Times), max(Times) - slot);
} in forall(t in Tasks) (
int_eq_imp(s[t], sol(s[t]), b /\ (sol(s[t]) < time \/ time+slot > sol(s[t])))
);
% Round Robin
array[1..2] of var bool: nbh;
constraint randomize(nbh[1]);
constraint free_timeslot(nbh[2]);
var 0..10000000: restart = restart_number();
var 1..2: select = (restart mod 2) + 1;
constraint bool_eq_imp(nbh[1], false, status() == UNKNOWN);
constraint bool_eq_imp(nbh[2], false, status() == UNKNOWN);
constraint bool_eq_imp(nbh[1], select == 1, status() != UNKNOWN);
constraint bool_eq_imp(nbh[2], select == 2, status() != UNKNOWN);
annotation main_vars(array[int] of var int: vars);
solve
::main_vars(s)
::int_search(s, first_fail, indomain_min, complete)
minimize objective;

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include "rcpsp-wet.mzn";
annotation main_vars(array[int] of var int: vars);
solve
::main_vars(s)
::int_search(s, first_fail, indomain_min, complete)
minimize objective;

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%-----------------------------------------------------------------------------%
% vim: ts=4 sw=4 et wm=0 tw=0
%-----------------------------------------------------------------------------%
% Copyright (C) 2009-2016 The University of Melbourne and NICTA.
% See the file COPYING for license information.
%-----------------------------------------------------------------------------%
% Model example for Resource-Constrained Project Scheduling Problems with
% Weighted Earliness/Tardiness objective (RCPSP/WET)
%
% A RCPSP consists of resources, tasks, and precedences between some tasks
% where resources have of a specific capacity and tasks need some capacity of
% some resource to be executed.
% Here, we consider resources with a constant discrete capacity over time and
% tasks with a constant discrete duration and resource requirements.
% The objective is to find a optimal schedule so that tasks start as close as
% possible to the given start time for each task, penalizing earliness or
% tardiness according to the given weight for earliness and tardiness per task.
%
%-----------------------------------------------------------------------------%
include "cumulative.mzn";
%-----------------------------------------------------------------------------%
% Model parameters.
% Resources
%
int: n_res; % The number of resources
set of int: Res = 1..n_res; % The set of all resources
array [Res] of int: rc; % The resource capabilities
% Tasks
%
int: n_tasks; % The number of tasks
set of int: Tasks = 1..n_tasks; % The set of all tasks
array [Tasks] of int : d ; % The task durations
array [Res, Tasks] of int : rr ; % The resource requirements
array [Tasks] of set of int: suc; % The task successors
% Deadlines
%
% deadline[i, 1] is the desired start time for task i,
% deadline[i, 2] is the earliness cost per time unit of earliness,
% deadline[i, 3] is the tardiness cost per time unit of tardiness.
array [Tasks, 1..3] of int: deadline;
% Planning horizon
%
% Note that our RCPSP/WET instance generator requires a solution to the
% equivalent RCPSP problem in order to generate the instances, so it gives
% us a planning horizon = the makespan of the RCPSP problem, plus 20% slop
int: t_max; %= sum(i in Tasks)(d[i]); % End time of the planning horizon
set of int: Times = 0..(t_max - 1); % Possible start times
%-----------------------------------------------------------------------------%
% Model variables.
array [Tasks] of var Times: s; % The start times
var 0..sum(i in Tasks) (
max(
deadline[i, 2] * deadline[i, 1],
deadline[i, 3] * (t_max - deadline[i, 1])
)
): objective;
%-----------------------------------------------------------------------------%
% Constraints.
% Precedence constraints
%
constraint
forall ( i in Tasks, j in suc[i] )
(
s[i] + d[i] <= s[j]
);
% Redundant non-overlapping constraints
%
constraint
redundant_constraint(
forall ( i, j in Tasks where i < j )
(
if exists(r in Res)(rr[r, i] + rr[r, j] > rc[r]) then
s[i] + d[i] <= s[j] \/ s[j] + d[j] <= s[i]
else
true
endif
)
);
% Cumulative resource constraints
%
constraint
forall ( r in Res )
(
let {
set of int: RTasks =
{ i | i in Tasks
where rr[r, i] > 0 /\ d[i] > 0 },
int: sum_rr = sum(i in RTasks)(rr[r, i])
} in (
if RTasks != {} /\ sum_rr > rc[r] then
cumulative(
[ s[i] | i in RTasks ],
[ d[i] | i in RTasks ],
[ rr[r, i] | i in RTasks ],
rc[r]
)
else
true
endif
)
);
% Weighted Earliness/Tardiness objective
constraint
objective = sum (i in Tasks) (
% earliness
deadline[i, 2] * max(0, deadline[i, 1] - s[i]) +
% tardiness
deadline[i, 3] * max(0, s[i] - deadline[i, 1])
);
%-----------------------------------------------------------------------------%
% Objective.
constraint trace("% init_area = \(ub(objective));\n", true);
%-----------------------------------------------------------------------------%
output [
"s = \(s);\n",
"objective = \(objective);\n",
];
%-----------------------------------------------------------------------------%
%-----------------------------------------------------------------------------%

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#!/bin/zsh
trap "exit" INT
set -e
# Run originals
echo ">> Gecode Original"
./run_original_gecode.sh gbac
./run_original_gecode.sh rcpsp-wet
./run_original_gecode.sh steelmillslab
echo ">> Chuffed Original"
./run_original_chuffed.sh gbac
./run_original_chuffed.sh rcpsp-wet
./run_original_chuffed.sh steelmillslab
# Run Half Reified implementations
echo ">> Gecode on_restart"
./run_restart_gecode.sh gbac
./run_restart_gecode.sh rcpsp-wet
./run_restart_gecode.sh steelmillslab
echo ">> Chuffed on_restarts"
./run_restart_chuffed.sh gbac
./run_restart_chuffed.sh rcpsp-wet
./run_restart_chuffed.sh steelmillslab
# Record Gecode Neighbourhoods
echo ">> Gecode on_restart_record"
./run_record_gecode.sh gbac
./run_record_gecode.sh rcpsp-wet
./run_record_gecode.sh steelmillslab
# Replay Gecode Neighbourhoods
echo ">> Gecode on_restart_replay"
./run_replay_gecode.sh gbac
./run_replay_gecode.sh rcpsp-wet
./run_replay_gecode.sh steelmillslab

21
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#!/bin/zsh
trap "exit" INT
set -e
folder=$1
source setup.sh
solver="./bin/fzn-chuffed"
model="./${folder}/original"
output_folder="./output/chuffed/${folder}/original"
mkdir -p ${output_folder}
for data in ./${folder}/*.dzn; do
echo "Running ${model} with ${data}"
filename=$(basename -- "$data")
filename="${filename%.*}"
${minizinc}/mzn2fzn -Gchuffed ${model}.mzn ${data} &> ${output_folder}/${filename}.sol
${solver} -a --time-out ${timeout_sec} -s --verbosity 2 ${model}.fzn &>/dev/null | ${minizinc}/solns2out --output-time ${model}.ozn >> ${output_folder}/${filename}.sol
rm -f ${model}.fzn ${model}.ozn
done

21
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#!/bin/zsh
trap "exit" INT
set -e
folder=$1
source setup.sh
solver="./bin/fzn-gecode"
model="./${folder}/original"
output_folder="./output/gecode/${folder}/original"
mkdir -p ${output_folder}
for data in ./${folder}/*.dzn; do
echo "Running ${model} with ${data}"
filename=$(basename -- "$data")
filename="${filename%.*}"
${minizinc}/mzn2fzn -Ggecode ${model}.mzn ${data} &>${output_folder}/${filename}.sol
${solver} --c-d 1 --a-d 2 -time ${timeout_sec}000 -a -s ${model}.fzn | ${minizinc}/solns2out --output-time ${model}.ozn >> ${output_folder}/${filename}.sol
rm -f ${model}.fzn ${model}.ozn
done

26
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#!/usr/bin/env zsh
trap "exit" INT
set -e
folder=$1
source setup.sh
solver="./bin/fzn-gecode_record"
model="./${folder}/on_restart"
output_folder="./output/gecode/${folder}/record"
mkdir -p ${output_folder}
for data in ./${folder}/*.dzn; do
echo -n "Recording ${model} with ${data}: "
for i in {1..${runs}}; do
echo -n "${i} "
filename=$(basename -- "$data")
filename="${filename%.*}"
${minizinc}/mzn2fzn -Ggecode ${model}.mzn ${data} &> ${output_folder}/${filename}.${i}.sol
${solver} --c-d 1 --a-d 2 -time ${record_timeout_sec}000 -r $i -a -restart constant -s ${model}.fzn | ${minizinc}/solns2out --output-time ${model}.ozn >> ${output_folder}/${filename}.${i}.sol
mv record.txt ${output_folder}/${filename}.${i}.rec
done
rm -f ${model}.fzn ${model}.ozn
echo ""
done

27
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@ -0,0 +1,27 @@
#!/usr/bin/env zsh
trap "exit" INT
set -e
folder=$1
source setup.sh
solver="./bin/fzn-gecode_replay"
model="./${folder}/original"
output_folder="./output/gecode/${folder}/replay"
records_folder="./output/gecode/${folder}/record"
mkdir -p ${output_folder}
for data in ./${folder}/*.dzn; do
echo -n "Replaying ${model} with ${data}: "
for i in {1..${runs}}; do
echo -n "${i} "
filename=$(basename -- "$data")
filename="${filename%.*}"
cp ${records_folder}/${filename}.${i}.rec record.txt
${minizinc}/mzn2fzn -Ggecode ${model}.mzn ${data} &> ${output_folder}/${filename}.${i}.sol
${solver} --c-d 1 --a-d 2 -time ${timeout_sec}000 -r $i -a -restart constant -s ${model}.fzn | ${minizinc}/solns2out --output-time ${model}.ozn >> ${output_folder}/${filename}.${i}.sol
done
rm -f ${model}.fzn ${model}.ozn
echo ""
done

25
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@ -0,0 +1,25 @@
#!/bin/zsh
trap "exit" INT
set -e
folder=$1
source setup.sh
solver="./bin/fzn-chuffed"
model="./${folder}/on_restart"
output_folder="./output/chuffed/${folder}/restart"
mkdir -p ${output_folder}
for data in ./${folder}/*.dzn; do
echo -n "Running ${model} with ${data}: "
for i in {1..${runs}}; do
echo -n "${i} "
filename=$(basename -- "$data")
filename="${filename%.*}"
${minizinc}/mzn2fzn -Gchuffed ${model}.mzn ${data} &> ${output_folder}/${filename}.${i}.sol
${solver} -a --time-out ${timeout_sec} --restart constant --restart-scale 250 -s --verbosity 2 --rnd-seed $i --restart-base 250 ${model}.fzn &>/dev/null | ${minizinc}/solns2out --output-time ${model}.ozn >> ${output_folder}/${filename}.${i}.sol
done
rm -f ${model}.fzn ${model}.ozn
echo ""
done

25
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@ -0,0 +1,25 @@
#!/bin/zsh
trap "exit" INT
set -e
folder=$1
source setup.sh
solver="./bin/fzn-gecode"
model="./${folder}/on_restart"
output_folder="./output/gecode/${folder}/restart"
mkdir -p ${output_folder}
for data in ./${folder}/*.dzn; do
echo -n "Running ${model} with ${data}: "
for i in {1..${runs}}; do
echo -n "${i} "
filename=$(basename -- "$data")
filename="${filename%.*}"
${minizinc}/mzn2fzn -Ggecode ${model}.mzn ${data} &> ${output_folder}/${filename}.${i}.sol
${solver} --c-d 1 --a-d 2 -time ${timeout_sec}000 -r $i -a -restart constant -s ${model}.fzn | ${minizinc}/solns2out --output-time ${model}.ozn >> ${output_folder}/${filename}.${i}.sol
done
rm -f ${model}.fzn ${model}.ozn
echo ""
done

7
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#!/usr/bin/env zsh
timeout_sec=120
record_timeout_sec=240
runs=10
minizinc="/Users/jdek0001/Repositories/minizinc/libmzn/build/release"

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@ -0,0 +1,5 @@
nbOrders = 111;
nbColours = 88;
sizes = {0, 11, 14, 20, 23, 25, 31, 34, 35, 39, 40, 43, 46, 49};
ordSize = [4, 22, 9, 5, 8, 3, 3, 4, 7, 7, 3, 2, 2, 8, 5, 7, 4, 7, 5, 7, 8, 3, 25, 14, 3, 22, 19, 19, 22, 22, 22, 20, 22, 5, 4, 10, 26, 17, 20, 16, 10, 19, 10, 10, 23, 22, 26, 27, 22, 27, 22, 22, 13, 14, 16, 26, 26, 27, 22, 20, 26, 22, 13, 19, 20, 16, 15, 17, 10, 20, 5, 26, 19, 15, 10, 10, 13, 13, 13, 12, 12, 18, 10, 18, 16, 20, 12, 6, 6, 15, 15, 15, 21, 30, 30, 30, 30, 23, 15, 15, 27, 27, 27, 27, 27, 27, 27, 27, 27, 10, 3];
ordCol = [1, 2, 3, 4, 5, 6, 4, 7, 4, 8, 6, 6, 4, 9, 10, 11, 7, 11, 10, 11, 9, 1, 12, 13, 6, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 27, 34, 42, 35, 36, 43, 24, 44, 45, 46, 47, 48, 49, 50, 28, 51, 52, 24, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 68, 69, 70, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 79, 85, 86, 87, 88];

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@ -0,0 +1,5 @@
nbOrders = 111;
nbColours = 88;
sizes = {0, 11, 16, 18, 19, 20, 24, 26, 30, 31, 34, 37, 39, 40, 47};
ordSize = [4, 22, 9, 5, 8, 3, 3, 4, 7, 7, 3, 2, 2, 8, 5, 7, 4, 7, 5, 7, 8, 3, 25, 14, 3, 22, 19, 19, 22, 22, 22, 20, 22, 5, 4, 10, 26, 17, 20, 16, 10, 19, 10, 10, 23, 22, 26, 27, 22, 27, 22, 22, 13, 14, 16, 26, 26, 27, 22, 20, 26, 22, 13, 19, 20, 16, 15, 17, 10, 20, 5, 26, 19, 15, 10, 10, 13, 13, 13, 12, 12, 18, 10, 18, 16, 20, 12, 6, 6, 15, 15, 15, 21, 30, 30, 30, 30, 23, 15, 15, 27, 27, 27, 27, 27, 27, 27, 27, 27, 10, 3];
ordCol = [1, 2, 3, 4, 5, 6, 4, 7, 4, 8, 6, 6, 4, 9, 10, 11, 7, 11, 10, 11, 9, 1, 12, 13, 6, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 27, 34, 42, 35, 36, 43, 24, 44, 45, 46, 47, 48, 49, 50, 28, 51, 52, 24, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 68, 69, 70, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 79, 85, 86, 87, 88];

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nbOrders = 111;
nbColours = 88;
sizes = {0, 15, 18, 19, 21, 25, 26, 32, 33, 34, 37, 41, 42, 45, 46, 50};
ordSize = [4, 22, 9, 5, 8, 3, 3, 4, 7, 7, 3, 2, 2, 8, 5, 7, 4, 7, 5, 7, 8, 3, 25, 14, 3, 22, 19, 19, 22, 22, 22, 20, 22, 5, 4, 10, 26, 17, 20, 16, 10, 19, 10, 10, 23, 22, 26, 27, 22, 27, 22, 22, 13, 14, 16, 26, 26, 27, 22, 20, 26, 22, 13, 19, 20, 16, 15, 17, 10, 20, 5, 26, 19, 15, 10, 10, 13, 13, 13, 12, 12, 18, 10, 18, 16, 20, 12, 6, 6, 15, 15, 15, 21, 30, 30, 30, 30, 23, 15, 15, 27, 27, 27, 27, 27, 27, 27, 27, 27, 10, 3];
ordCol = [1, 2, 3, 4, 5, 6, 4, 7, 4, 8, 6, 6, 4, 9, 10, 11, 7, 11, 10, 11, 9, 1, 12, 13, 6, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 27, 34, 42, 35, 36, 43, 24, 44, 45, 46, 47, 48, 49, 50, 28, 51, 52, 24, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 68, 69, 70, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 79, 85, 86, 87, 88];

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nbOrders = 111;
nbColours = 88;
sizes = {0, 13, 15, 16, 17, 18, 21, 26, 28, 30, 33, 36, 37, 38, 42, 44, 50};
ordSize = [4, 22, 9, 5, 8, 3, 3, 4, 7, 7, 3, 2, 2, 8, 5, 7, 4, 7, 5, 7, 8, 3, 25, 14, 3, 22, 19, 19, 22, 22, 22, 20, 22, 5, 4, 10, 26, 17, 20, 16, 10, 19, 10, 10, 23, 22, 26, 27, 22, 27, 22, 22, 13, 14, 16, 26, 26, 27, 22, 20, 26, 22, 13, 19, 20, 16, 15, 17, 10, 20, 5, 26, 19, 15, 10, 10, 13, 13, 13, 12, 12, 18, 10, 18, 16, 20, 12, 6, 6, 15, 15, 15, 21, 30, 30, 30, 30, 23, 15, 15, 27, 27, 27, 27, 27, 27, 27, 27, 27, 10, 3];
ordCol = [1, 2, 3, 4, 5, 6, 4, 7, 4, 8, 6, 6, 4, 9, 10, 11, 7, 11, 10, 11, 9, 1, 12, 13, 6, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 27, 34, 42, 35, 36, 43, 24, 44, 45, 46, 47, 48, 49, 50, 28, 51, 52, 24, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 68, 69, 70, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 79, 85, 86, 87, 88];

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nbOrders = 111;
nbColours = 88;
sizes = {0, 14, 18, 20, 24, 25, 27, 28, 29, 33, 34, 35, 37, 40, 42, 43, 46, 47, 48, 50};
ordSize = [4, 22, 9, 5, 8, 3, 3, 4, 7, 7, 3, 2, 2, 8, 5, 7, 4, 7, 5, 7, 8, 3, 25, 14, 3, 22, 19, 19, 22, 22, 22, 20, 22, 5, 4, 10, 26, 17, 20, 16, 10, 19, 10, 10, 23, 22, 26, 27, 22, 27, 22, 22, 13, 14, 16, 26, 26, 27, 22, 20, 26, 22, 13, 19, 20, 16, 15, 17, 10, 20, 5, 26, 19, 15, 10, 10, 13, 13, 13, 12, 12, 18, 10, 18, 16, 20, 12, 6, 6, 15, 15, 15, 21, 30, 30, 30, 30, 23, 15, 15, 27, 27, 27, 27, 27, 27, 27, 27, 27, 10, 3];
ordCol = [1, 2, 3, 4, 5, 6, 4, 7, 4, 8, 6, 6, 4, 9, 10, 11, 7, 11, 10, 11, 9, 1, 12, 13, 6, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 27, 34, 42, 35, 36, 43, 24, 44, 45, 46, 47, 48, 49, 50, 28, 51, 52, 24, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 68, 69, 70, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 79, 85, 86, 87, 88];

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include "steelmillslab.mzn";
include "../lib.mzn";
predicate int_eq_imp(var int: x, var int: y, var bool: b);
predicate bool_eq_imp(var bool: x, var bool: y, var bool: b);
predicate random_assignment(var bool: b) = forall(i in 1..nbSlabs) (
int_eq_imp(assign[i], sol(assign[i]), b /\ (uniform_internal(1,100) < 80))
);
predicate random_bin(var bool: b) = let {
var int: bin = uniform_internal(1, nbSlabs);
} in forall(i in 1..nbSlabs) (
int_eq_imp(assign[i], sol(assign[i]), b /\ (bin != sol(assign[i])))
);
% Round Robin
array[1..2] of var bool: nbh;
constraint random_assignment(nbh[1]);
constraint random_bin(nbh[2]);
var 0..10000000: restart = restart_number();
var 1..2: select = (restart mod 2) + 1;
constraint bool_eq_imp(nbh[1], false, status() == UNKNOWN);
constraint bool_eq_imp(nbh[2], false, status() == UNKNOWN);
constraint bool_eq_imp(nbh[1], select == 1, status() != UNKNOWN);
constraint bool_eq_imp(nbh[2], select == 2, status() != UNKNOWN);
annotation main_vars(array[int] of var int: vars);
solve
:: main_vars(assign)
:: int_search(ordered, first_fail, indomain_min, complete)
minimize objective;

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include "steelmillslab.mzn";
annotation main_vars(array[int] of var int: vars);
solve
:: main_vars(assign)
:: int_search(ordered, first_fail, indomain_min, complete)
minimize objective;

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include "globals.mzn";
%------------------------------------------------------------------------------%
% Parameters
par int: nbOrders;
par int: nbColours;
par set of int: sizes;
array[int] of par int: ordSize;
array[int] of par int: ordCol;
par int: nbSlabs = nbOrders;
%------------------------------------------------------------------------------%
% Variables
array[1..nbOrders] of var 1..nbSlabs: assign;
array[int] of par int: order = arg_sort(ordSize);
array[int] of var 1..nbSlabs: ordered = [ assign[order[nbOrders-p+1]] | p in 1..nbOrders ];
constraint forall(i in 1..nbSlabs) (
sum([ bool2int(exists(o in 1..nbOrders where ordCol[o]=c)(assign[o] = i)) | c in 1..nbColours ]) <= 2
);
array[1..nbSlabs] of var 0..max(sizes): loads = bin_packing_load(assign, [ordSize[i] | i in 1..nbOrders]);
array[0..max(sizes)] of par int: frees =
array1d(0..max(sizes), [min([c - l | c in sizes where c >= l]) | l in 0..max(sizes)]);
constraint symmetry_breaking_constraint(
forall(i in 1..nbSlabs-1) (loads[i] = 0 -> loads[i+1] = 0));
constraint symmetry_breaking_constraint(
forall(i in 1..nbOrders, j in 1..nbOrders where j > i)(
(ordSize[i] = ordSize[j] /\ ordCol[i] = ordCol[j]) -> assign[i] <= assign[j]));
int: objub = max(frees)*nbSlabs;
var 0..objub: objective;
constraint objective = sum(j in 1..nbSlabs)(frees[loads[j]]);
constraint trace("% init_area = \(ub(objective));\n", true);
output [
"assign = \(assign);\n",
"objective = \(objective);\n",
];