git-subtree-dir: software/mza git-subtree-split: f970a59b177c13ca3dd8aaef8cc6681d83b7e813
35 lines
1.2 KiB
MiniZinc
35 lines
1.2 KiB
MiniZinc
include "all_different.mzn";
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include "disjunctive.mzn";
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include "fzn_cumulative.mzn";
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include "fzn_cumulative_reif.mzn";
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/** @group globals.scheduling
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Requires that a set of tasks given by start times \a s, durations \a d, and
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resource requirements \a r, never require more than a global resource bound
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\a b at any one time.
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Assumptions:
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- forall \p i, \a d[\p i] >= 0 and \a r[\p i] >= 0
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*/
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predicate cumulative(array[int] of var int: s,
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array[int] of var int: d,
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array[int] of var int: r, var int: b) =
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assert(index_set(s) == index_set(d) /\ index_set(s) == index_set(r),
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"cumulative: the 3 array arguments must have identical index sets",
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assert(lb_array(d) >= 0 /\ lb_array(r) >= 0,
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"cumulative: durations and resource usages must be non-negative",
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if is_fixed(b) /\
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forall(i in index_set(r))
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(is_fixed(r[i]) /\ fix(r[i]) + lb_array(r) > ub(b))
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then
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if forall(i in index_set(d))(is_fixed(d[i]) /\ fix(d[i]) == 1)
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then
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all_different(s)
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else
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disjunctive(s, d)
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endif
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else
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fzn_cumulative(s, d, r, b)
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endif
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));
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