git-subtree-dir: software/mza git-subtree-split: f970a59b177c13ca3dd8aaef8cc6681d83b7e813
82 lines
1.8 KiB
MiniZinc
82 lines
1.8 KiB
MiniZinc
% RUNS ON mzn20_fd
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% RUNS ON mzn-fzn_fd
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% RUNS ON mzn20_fd_linear
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% RUNS ON mzn20_mip
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% RUNS OM minizinc_cpx
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%% Product example from the OPL book!
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%% product_lp.mzn
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%% Ralph Becket June 26 2007
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%%
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%% This is a version of product.mzn changed to use LP integers rather than
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%% LP floats (everything has been scaled up by 10).
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% This isn't needed, as "lp" is a built-in annotation in the G12
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% implementation (although it's not listed as such in the Zinc spec).
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%annotation lp;
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%enum Products = {kluski, capellini, fettucine};
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int: NumProducts = 3;
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set of int: Products = 1..NumProducts;
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int: kluski = 0;
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int: capellini = 1;
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int: fettucine = 2;
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%enum Resources = {flour, eggs};
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int: NumResources = 2;
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set of int: Resources = 1..NumResources;
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int: flour = 0;
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int: eggs = 1;
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array[Products] of int: demand = [100, 200, 300];
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array[Products] of int: insideCost = [60, 80, 30];
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array[Products] of int: outsideCost = [80, 90, 40];
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array[Products, Resources] of int: consumption =
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[| 5, 2
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| 4, 4
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| 3, 6
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|];
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array[Resources] of int: capacity = [200, 400];
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array[Products] of var int: inside;
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array[Products] of var int: outside;
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constraint
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forall (p in Products) (
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inside[p] >= 0
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/\ outside[p] >= 0
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);
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constraint
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forall(r in Resources) (
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sum (p in Products) (
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consumption[p, r] * inside[p]
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)
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<=
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capacity[r]
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);
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constraint
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forall(p in Products) (
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inside[p] + outside[p] >= demand[p]
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);
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solve minimize
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sum (p in Products) (
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insideCost[p]*inside[p] + outsideCost[p]*outside[p]
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);
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output [
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"production planning (LP version of integer model)\n",
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" \tkluski\t\tfettucine\tcapellini\n",
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"make inside: \t",
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show(inside[1]), "\t\t",
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show(inside[2]), "\t\t",
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show(inside[3]), "\n",
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"make outside: \t",
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show(outside[1]), "\t\t",
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show(outside[2]), "\t\t",
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show(outside[3]), "\n"
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];
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