An efficient approach fo imprecise posynomial geometric programming

Since slight variations in the problem parameters strongly affect optimal solution, so solving a geometric programming in imprecise state is very significant. With respect to the fact that in practical problems only the approximation of parameters can be achieved, in this paper, we propose a framework of constrained posynomial geometric programming problem in which in which all parameters and coefficients are imprecise. A pair of two-level mathematical program is proposed to obtain the upper and lower bound of the objective values. The approach is considered through a practical example. The results demonstrate that the proposed approach has a noticeable effect in modeling of such uncertain industrial envioronment The proposed method can be used especially in imprecise production an services centers of Iran.

کلیدواژه ها:

Geometric programming ، imprecise paramenter ، Nonlinear programming