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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
set DEST; # destinations
param supply {ORIG} >= 0; # amounts available at origins
param demand {DEST} >= 0; # amounts required at destinations
check: sum {i in ORIG} supply[i] = sum {j in DEST} demand[j];
param rate {ORIG,DEST} >= 0; # base shipment costs per unit
param limit {ORIG,DEST} > 0; # limit on units shipped
var Trans {i in ORIG, j in DEST} >= 0, := 0;
# actual units to be shipped
minimize Total_Cost:
sum {i in ORIG, j in DEST}
rate[i,j] * Trans[i,j]^0.8 / (1 - Trans[i,j]/limit[i,j]);
subject to Supply {i in ORIG}:
sum {j in DEST} Trans[i,j] = supply[i];
subject to Demand {j in DEST}:
sum {i in ORIG} Trans[i,j] = demand[j];