i've been busy model, i'm uncomfortable result because think gams violates constraint. want tell gams is:
"check demand first -> check current stocks -> if there enough stocks sell current stocks -> if there not enough stocks first buy (produce) sell."
i think in model gams not obey demand (sell), minimum values , sells without buying any.
the model hereinbelow:
sets items /s,p,b/ t time in quarters /1,2,3/ parameters price(i) selling price per unit per quarter in euros /s 6.34, p 6.46, b 5.93/ inistock(i) initial stock in units /s 320000, p 296199, b 104208/ cap(i) capacity limit each unit /s 400000, p 350000, b 150000/ c cost of holding 1 unit of /s 10, p 15, b 12/ scalars tcap total capacity of warehouse /650000/ variables stock(i,t) stock stored @ time t sell(i,t) stock sold @ time t buy(i,t) stock bought @ time t cost total cost positive variables stock,sell,buy equations cst total cost occurs stck(i,t) stock balance of unit @ time t; cst.. cost=e=sum((i,t),price(i)*(buy(i,t)-sell(i,t))+c(i)*stock(i,t)); stck(i,t).. stock(i,t)=e=inistock(i)+stock(i,t-1)+buy(i,t)-sell(i,t); stck.up(i,t)=tcap; option lp=cplex ; option optcr=0; model twh warehouse problem / /; solve twh minimizing cost using lp;
thank in advance support!
you haven't set demand constraints, , minimum values 0 bounds defining variables being positive.
what other constraint did expect gams obey?
selling correct solution problem have defined.
i think part mistake:
stck.up(i,t)=tcap;
you meant write 'stock' rather 'stck'. if lower bound (writing 'lo' instead of 'up'), have problem non-trivial solution, adding constraint warehouse should filled maximum capacity.
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