Research Article

Optimal Solutions of Multiproduct Batch Chemical Process Using Multiobjective Genetic Algorithm with Expert Decision System

Table 3

Optimal objectif function values of example 1.

Optimal objectif function values

Case 𝑓 1 𝑓 2 𝑓 3 𝑓 4
1122566.41175955.3973499.235579.37
2124283.15177389.0774508.915582.87
3126393.23173354.6784896.905638.60

Bounds for objective function: [ 𝑓 𝐿 1 , 𝑓 𝑈 1 ] = [ 1 1 0 0 0 0 , 1 3 0 0 0 0 ] , [ 𝑓 𝐿 2 , 𝑓 𝑈 2 ] = [ 1 5 0 0 0 0 , 2 0 0 0 0 0 ] , [ 𝑓 𝐿 3 , 𝑓 𝑈 3 ] = [ 6 0 0 0 0 , 1 0 0 0 0 0 ] , [ 𝑓 𝐿 4 , 𝑓 𝑈 4 ] = [ 5 5 0 0 , 6 0 0 0 ] .