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

Journal of Industrial Engineering International

دوره 9، شماره 1، اسفند 2013   

نویسندگان

Payel Ghosh^{* 1}؛ Tapan Kumar Roy²

¹Department of Mathematics, Adamas Institute of Technology, Barasat, North 24 Parganas, 700126, West Bengal, India

²Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711103, West Bengal, India

چکیده

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.

کلیدواژه‌ها

Goal programming؛ Geometric programming؛ Pareto optimality؛ Nonlinear programming