Multiobjective Set Partitioning Problems (SPA)

Definition

The set partitioning problem with two objectives is defined as follow:

Min sum{j=1,…,n} c1(j) x(j)
Min sum{j=1,…,n} c2(j) x(j)
s/t sum{j=1,…,n} t(i,j) x(j) = 1   for i=1,…,m
    x(j) = 0 or 1                  for j=1,…,n

Datasets

• with 2 objectives:

  • spa2021