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dekker.one
1include "globals.mzn";
2
3int: horizon; % time horizon
4set of int: Time = 0..horizon;
5enum Task;
6enum Machine;
7
8array[Task,Machine] of int: d; % duration on each machine
9int: maxd = max([ d[t,m] | t in Task, m in Machine ]);
10int: mind = min([ d[t,m] | t in Task, m in Machine ]);
11
12array[Task] of var Time: S; % start time
13array[Task] of var mind..maxd: D; % duration
14array[Task,Machine] of var opt Time: O; % optional task start
15
16constraint forall(t in Task)(alternative(S[t],D[t],
17 [O[t,m]|m in Machine],[d[t,m]|m in Machine]));
18constraint forall(m in Machine)
19 (disjunctive([O[t,m]|t in Task],[d[t,m]|t in Task]));
20constraint cumulative(S,D,[1|i in Task],card(Machine));
21
22solve minimize max(t in Task)(S[t] + D[t]);