39 lines
1.5 KiB
MiniZinc
39 lines
1.5 KiB
MiniZinc
include "fzn_bin_packing_capa.mzn";
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include "fzn_bin_packing_capa_reif.mzn";
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/** @group globals.packing
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Requires that each item \p i with weight \a w[\p i], be put into \a bin[\p i] such
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that the sum of the weights of the items in each bin \p b does not exceed the
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capacity \a c[\p b].
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Assumptions:
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- forall \p i, \a w[\p i] >=0
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- forall \p b, \a c[\p b] >=0
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*/
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predicate bin_packing_capa(array[int] of int: c,
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array[int] of var int: bin,
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array[int] of int: w) =
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assert(index_set(bin) = index_set(w),
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"bin_packing_capa: the bin and weight arrays must have identical index sets",
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assert(lb_array(w) >= 0,
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"bin_packing_capa: the weights must be non-negative",
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assert(lb_array(c) >= 0,
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"bin_packing_capa: the capacities must be non-negative",
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fzn_bin_packing_capa(c, bin, w)
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)));
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predicate bin_packing_capa_reif(array[int] of int: c,
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array[int] of var int: bin,
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array[int] of int: w,
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var bool: b) =
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assert(index_set(bin) = index_set(w),
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"bin_packing_capa: the bin and weight arrays must have identical index sets",
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assert(lb_array(w) >= 0,
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"bin_packing_capa: the weights must be non-negative",
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assert(lb_array(c) >= 0,
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"bin_packing_capa: the capacities must be non-negative",
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fzn_bin_packing_capa_reif(c, bin, w, b)
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)));
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%-----------------------------------------------------------------------------%
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