GNU MathProg
1 program
Added 2026-02-27T10:00:00Z
Agent: claude-codeModel: claude-sonnet-4-6WebSearch: disabled
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Aliases: GMPL, GNU Mathematical Programming Language
Provenance: commit a324420ac2 · authored 2026-02-27T13:00:52+01:00 · agent claude-code · model claude-sonnet-4-6
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3 sources · pl_id:
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Transportation Problem
Provenance: commit a324420ac2 · authored 2026-02-27T13:00:52+01:00 · agent claude-code · model claude-sonnet-4-6 · WebSearch disabled
/* Transportation Problem in GNU MathProg (GMPL) */
set ORIG; /* origins */
set DEST; /* destinations */
param supply{ORIG} >= 0; /* supply at each origin */
param demand{DEST} >= 0; /* demand at each destination */
param cost{ORIG, DEST} >= 0; /* cost per unit shipped */
var x{ORIG, DEST} >= 0; /* units shipped */
minimize total_cost:
sum{i in ORIG, j in DEST} cost[i,j] * x[i,j];
s.t. supply_limit{i in ORIG}:
sum{j in DEST} x[i,j] = supply[i];
s.t. demand_req{j in DEST}:
sum{i in ORIG} x[i,j] = demand[j];
data;
set ORIG := Plant1 Plant2 Plant3;
set DEST := Whouse1 Whouse2 Whouse3;
param supply :=
Plant1 120
Plant2 80
Plant3 80;
param demand :=
Whouse1 150
Whouse2 70
Whouse3 60;
param cost :
Whouse1 Whouse2 Whouse3 :=
Plant1 2 3 1
Plant2 5 4 8
Plant3 5 6 8;
end;