design of facility location problem model
Good day
i'm struggling in this model . i'm trying to define a k-center model of location of facility in wich i have a min max function object. z is the variable to minimize
the error message is :" IndexError: list index out of range"
here is the code
from gurobipy import *
import numpy as np
ex=Model()
p=1
client=['A','B','C','D','E','F']
site= ['A1','B1','C1','D1','E1','F1']
arcs,dist=multidict({('A','A1'):0,('A','B1'):13,('A','C1'):15,('A','D1'):18,('A','E1'):0,('A','F1'):0,
('B','A1'):13,('B','B1'):0,('B','C1'):0,('B','D1'):16,('B','E1'):15,('B','F1'):0,
('C','A1'):15,('C','B1'):0,('C','C1'):0,('C','D1'):22,('C','E1'):0,('C','F1'):16,
('D','A1'):18,('D','B1'):16, ('D','C1'):22,('D','D1'):0,('D','E1'):16,('D','F1'):12,
('E','A1'):0,('E','B1'):15,('E','C1'):0,('E','D1'):16,('E','E1'):0,('E','F1'):0,
('F','A1'):0,('F','B1'):0,('F','C1'):16,('F','D1'):12,('F','E1'):0,('F','F1'):0})
z=ex.addVars(vtype=GRB.CONTINUOUS)
x=ex.addVars(site,vtype=GRB.BINARY)
y=ex.addVars(client,site,vtype=GRB.BINARY)
ex.setObjective(z,GRB.MINIMIZE)
ex.addConstr(quicksum (x[s] for s in site) ==3 )
ex.addConstrs(quicksum(y[i,j] for j in site )==1 for i in client )
ex.addConstrs(y[i,j]<=x[j] for i in client for j in site )
ex.addConstrs(quicksum (dist[i,j]*y[i,j])<=z for i,j in arcs if dist[i,j]!=0 )
ex.addConstr(quicksum (x[i] for i in site) ==3 )
ex.optimize()
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