A goal geometric programming problem (G2P2) with logarithmic deviational variables and its applications on two industrial problems

Subject Areas : Mathematical Optimization

Payel Ghosh ¹ , Tapan Kumar Roy ²

1 - Department of Mathematics, Adamas Institute of Technology, Barasat, North 24 Parganas, 700126, West Bengal, India
2 - Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711103, West Bengal, India

Received: 2020-10-02 Accepted : 2020-10-02 Published : 2013-12-01

Keywords: goal programming, Nonlinear Programming, Geometric programming, Pareto optimality,

Abstract :

A very useful multi-objective technique is goal programming. There are many methodologies of goal programming such as weighted goal programming, min-max goal programming, and lexicographic goal programming. In this paper, weighted goal programming is reformulated as goal programming with logarithmic deviation variables. Here, a comparison of the proposed method and goal programming with weighted sum method is presented. A numerical example and applications on two industrial problems have also enriched this paper.