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AMPL offers superior support by our development and technical support teams.
Contact us for general queries, partnerships, and more.
We can help you find the license and offering that works best for your situation.
Sample model from the AMPL book
set ORIG; # origins (steel mills)
set DEST; # destinations (factories)
set PROD; # products
param rate {ORIG,PROD} > 0; # tons per hour at origins
param avail {ORIG} >= 0; # hours available at origins
param demand {DEST,PROD} >= 0; # tons required at destinations
param make_cost {ORIG,PROD} >= 0; # manufacturing cost/ton
param trans_cost {ORIG,DEST,PROD} >= 0; # shipping cost/ton
var Make {ORIG,PROD} >= 0; # tons produced at origins
var Trans {ORIG,DEST,PROD} >= 0; # tons shipped
minimize Total_Cost:
sum {i in ORIG, p in PROD} make_cost[i,p] * Make[i,p] +
sum {i in ORIG, j in DEST, p in PROD}
trans_cost[i,j,p] * Trans[i,j,p];
subject to Time {i in ORIG}:
sum {p in PROD} (1/rate[i,p]) * Make[i,p] <= avail[i];
subject to Supply {i in ORIG, p in PROD}:
sum {j in DEST} Trans[i,j,p] = Make[i,p];
subject to Demand {j in DEST, p in PROD}:
sum {i in ORIG} Trans[i,j,p] = demand[j,p];