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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 CITIES;
set LINKS within (CITIES cross CITIES);
set PRODS;
param supply {CITIES,PRODS} >= 0; # amounts available at cities
param demand {CITIES,PRODS} >= 0; # amounts required at cities
check {p in PRODS}:
sum {i in CITIES} supply[i,p] = sum {j in CITIES} demand[j,p];
param cost {LINKS,PRODS} >= 0; # shipment costs/1000 packages
param capacity {LINKS,PRODS} >= 0; # max packages shipped
param cap_joint {LINKS} >= 0; # max total packages shipped/link
minimize Total_Cost;
node Balance {k in CITIES, p in PRODS}:
net_in = demand[k,p] - supply[k,p];
subject to Multi {(i,j) in LINKS}:
to_come <= cap_joint[i,j];
arc Ship {(i,j) in LINKS, p in PRODS} >= 0, <= capacity[i,j,p],
from Balance[i,p], to Balance[j,p],
coeff Multi[i,j] 1.0,
obj Total_Cost cost[i,j,p];