Multiobjective 0/1 Uncapacitated Facility Location Problems (UFLP)

Definition

The 0/1 uncapacitated facility location problem with two objectives is defined as follow:

Min sum{i=1,...,nI;j=1,…,nJ} c1(i,j) x(i,j) + sum{j=1,…,nJ} r1(j) s(j)
Min sum{i=1,...,nI;j=1,…,nJ} c2(i,j) x(i,j) + sum{j=1,…,nJ} r2(j) s(j)
s/t sum{j=1,…,nJ} x(i,j) = 1     for i=1,…,nI
    x(i,j) <= s(j)               for i=1,…,nI; j=1,…,nJ
    x(i,j) = 0 or 1              for i=1,…,nI; j=1,…,nJ
    s(j) = 0 or 1                for j=1,…,nJ        

Datasets

• with 2 objectives:

  • dataDidactic
  • dataFernandez
  • dataHarris