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Table 3 Results from model (6)

From: A goal programming-based algorithm for solving multi objective optimization problems

 

Optimal solution

Optimal value

objective

\(x_{1}\)

\(x_{2}\)

\(x_{3}\)

\(x_{4}\)

\(x_{5}\)

\(x_{6}\)

\(z^{*}\)

\(f_{1}\)

3.782895

0

0.25

10

0

0.786184

–2.256

\(f_{2}\)

0

0.421918

0

10

10

4

–8.438

\(f_{3}\)

2.502325

0.82548

0.25

0

10

0

–93.344