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dekker.one
1include "fzn_bin_packing.mzn";
2include "fzn_bin_packing_reif.mzn";
3
4/** @group globals.packing
5 Requires that each item \p i with weight \a w[\p i], be put into \a bin[\p i] such
6 that the sum of the weights of the items in each bin does not exceed the
7 capacity \a c.
8
9 Assumptions:
10 - forall \p i, \a w[\p i] >=0
11 - \a c >=0
12*/
13predicate bin_packing(int: c,
14 array[int] of var int: bin,
15 array[int] of int: w) =
16 assert(index_set(bin) == index_set(w),
17 "bin_packing: the bin and weight arrays must have identical index sets",
18 assert(lb_array(w) >= 0,
19 "bin_packing: the weights must be non-negative",
20 assert(c >= 0, "bin_packing: capacity must be non-negative",
21 fzn_bin_packing(c, bin, w)
22 )));
23
24predicate bin_packing_reif(int: c,
25 array[int] of var int: bin,
26 array[int] of int: w,
27 var bool: b) =
28 assert(index_set(bin) == index_set(w),
29 "bin_packing: the bin and weight arrays must have identical index sets",
30 assert(lb_array(w) >= 0,
31 "bin_packing: the weights must be non-negative",
32 assert(c >= 0, "bin_packing: capacity must be non-negative",
33 fzn_bin_packing_reif(c, bin, w, b)
34 )));
35
36%-----------------------------------------------------------------------------%