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Watch out for incomplete suppression |
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When I use conditionals to eliminate variables I must be careful to watch out for cases of incomplete elimination. Variables may still be there that I thought were gone. Below, I do not suppress zero transport cost cases in the bottom 2 equations and will end up with variables present that trivially allow demand satisfaction.
TCOST =E= SUM((PLANT,MARKET)$cost(plant,market) , SHIPMENTS(PLANT,MARKET)*COST(PLANT,MARKET)); fsSUPPLYEQ(PLANT)$supply(plant).. SUM(MARKET, SHIPMENTS(PLANT, MARKET))=L= SUPPLY(PLANT); fsDEMANDEQ(MARKET)$demand(market).. SUM(PLANT, SHIPMENTS(PLANT, MARKET)) =G= DEMAND(MARKET);
In general poor quality answers can be avoided if one is careful to suppress variables in a consistent fashion across all equations. |