Hi,
This is my second week using Julia. I am using Julia 1.1.0 and JuMP v0.19.0 for some optimization problems. I managed to solve a classic transport problem. I can see final optimal result. However, I would like to see the variable values that lead to the minimal value on the objective function.
This is my code:
using JuMP
using GLPK
using Cbc
using MathOptInterface
ORIG = ["Cleveland", "Boston", "Houston", "Los Angeles","Washinton D.C."]
DEST = ["Trumbull", "N.Y.", "Atlanta", "Chicago", "San Fran."]
supply = [45, 90, 95,75,105]
demand = [120, 80,50, 75, 85]
cost = [6 6 9 4 10 ;
3 2 7 5 12 ;
8 7 5 6 4 ;
11 12 9 5 2 ;
4 3 4 5 11]
model = Model(with_optimizer(Cbc.Optimizer))
@variable(model, x[1:length(ORIG), 1:length(DEST)] >= 0)
@objective(model, Min, sum(cost[i, j] * x[i, j] for i in 1:length(ORIG), j in 1:length(DEST)))
@constraint(model, [i in 1:length(ORIG)], sum(x[i, j] for j in 1:length(DEST)) == supply[i])
@constraint(model, [j in 1:length(DEST)],sum(x[i, j] for i in 1:length(ORIG)) == demand[j])
JuMP.optimize!(model)
println(termination_status(model))
println("Minimum total cost for the transport problem: ",objective_value(model) ," american dollars")
println(value(x))
Why value(x)
is not working?