Hello all!
I am trying to write a model how to minimize the production cost
given the total demand and production cost per production plant.
The thing is that I don't want have all production plants in use as it
is now given my model below.
I would only like to start up a new plant when the demand of all the
cheaper production isn't suffient.
I think my problem is a mix of different kind of problems and not a pure
minimize problem.
Please, can someone help me out on this?
Best regards Mattias Berglund
set PLANTS;
param plant{i in PLANTS};
/* Production plants */
param maxlim{i in PLANTS};
/* maximum production, MWh*/
param minlim{i in PLANTS};
/* minimum production, MWh*/
param cost{i in PLANTS};
/* cost kr/MWh */
param demand;
/* total demand MWh */
var p{i in PLANTS} >=0;
/*production at plant i */
minimize z: sum{i in PLANTS} cost[i]*p[i];
/* minimize the total production cost */
s.t. limits{i in PLANTS} : minlim[i] <= p[i] <= maxlim[i];
/* for each plant within production limits */
s.t. totalproduction : sum{i in PLANTS} p[i] >= demand;
/* The total production = demand*/
data;
param demand := 300; /* MWh */
set PLANTS := vp vp3 p1 p2; /* production units*/
param maxlim :=
vp 80
vp3 96
p1 220
p2 110;
param minlim :=
vp 16
vp3 12
p1 160
p2 40;
param cost :=
vp 20
vp3 21
p1 30
p2 25;
_______________________________________________
Help-glpk mailing list
[email protected]
http://lists.gnu.org/mailman/listinfo/help-glpk
