35 lines
1.1 KiB
MiniZinc
35 lines
1.1 KiB
MiniZinc
int: jobs; % no of jobs
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set of int: JOB = 1..jobs;
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int: tasks; % no of tasks per job
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set of int: TASK = 1..tasks;
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array [JOB,TASK] of int: d; % task durations
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int: total = sum(i in JOB, j in TASK)(d[i,j]);% total duration
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int: digs = ceil(log(10.0,total)); % digits for output
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array [JOB,TASK] of var 0..total: s; % start times
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var 0..total: end; % total end time
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% nooverlap
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predicate no_overlap(var int:s1, int:d1, var int:s2, int:d2) =
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s1 + d1 <= s2 \/ s2 + d2 <= s1;
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constraint %% ensure the tasks occur in sequence
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forall(i in JOB) (
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forall(j in 1..tasks-1)
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(s[i,j] + d[i,j] <= s[i,j+1]) /\
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s[i,tasks] + d[i,tasks] <= end
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);
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constraint %% ensure no overlap of tasks
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forall(j in TASK) (
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forall(i,k in JOB where i < k) (
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no_overlap(s[i,j], d[i,j], s[k,j], d[k,j])
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)
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);
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solve minimize end;
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output ["end = \(end)\n"] ++
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[ show_int(digs,s[i,j]) ++ " " ++
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if j == tasks then "\n" else "" endif |
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i in JOB, j in TASK ];
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