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MiniZinc

include "fzn_cumulative_opt.mzn";
include "fzn_cumulative_opt_reif.mzn";
/** @group globals.scheduling
Requires that a set of tasks given by start times \a s, durations \a d, and
resource requirements \a r, never require more than a global resource bound
\a b at any one time. Start times are optional variables, so
that absent tasks do not need to be scheduled.
Assumptions:
- forall \p i, \a d[\p i] >= 0 and \a r[\p i] >= 0
*/
predicate cumulative(array[int] of var opt int: s,
array[int] of var int: d,
array[int] of var int: r, var int: b) =
assert(index_set(s) == index_set(d) /\ index_set(s) == index_set(r),
"cumulative: the 3 array arguments must have identical index sets",
assert(lb_array(d) >= 0 /\ lb_array(r) >= 0,
"cumulative: durations and resource usages must be non-negative",
fzn_cumulative_opt(s,d,r,b)
)
);