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

محورهای موضوعی : Mathematical Optimization

Payel Ghosh ¹ (Department of Mathematics, Adamas Institute of Technology, Barasat, North 24 Parganas, 700126, West Bengal, India)
Tapan Kumar Roy ² (Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711103, West Bengal, India)

تاریخ دریافت : 1399/07/11 تاریخ پذیرش : 1399/07/11 تاریخ انتشار : 1392/09/10

کلید واژه: goal programming, Nonlinear Programming, Geometric programming, Pareto optimality,

چکیده مقاله :

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.