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MiniZinc

include "globals.mzn";
int: horizon; % 时间范围
set of int: Time = 0..horizon;
enum Task;
enum Machine;
array[Task,Machine] of int: d; % 每个机器上的持续时间
int: maxd = max([ d[t,m] | t in Task, m in Machine ]);
int: mind = min([ d[t,m] | t in Task, m in Machine ]);
array[Task] of var Time: S; % 起始时间
array[Task] of var mind..maxd: D; % 持续时间
array[Task,Machine] of var opt Time: O; % 可选择的任务起始
constraint forall(t in Task)(alternative(S[t],D[t],
[O[t,m]|m in Machine],[d[t,m]|m in Machine]));
constraint forall(m in Machine)
(disjunctive([O[t,m]|t in Task],[d[t,m]|t in Task]));
constraint cumulative(S,D,[1|i in Task],card(Machine));
solve minimize max(t in Task)(S[t] + D[t]);