Title of article :
A Fuzzy Random Minimum Cost Network Flow Programming Problem
Author/Authors :
Nematian, Javad university of tabriz - Department of Industrial Engineering, تبريز, ايران , Eshghi, Kourosh sharif university of technology - Department of Systems Engineering, تهران, ايران
Abstract :
In this paper, a fuzzy random minimum cost flow problem is presented. In this problem, cost parameters and decision variables are fuzzy random variables and fuzzy numbers respectively. The object of the problem is to find optimal flows of a capacitated network. Then, two algorithms are developed to solve the problem based on Er-expected value of fuzzy random variables and chance-constrained programming. Furthermore, the results of two algorithms will be compared. An illustrative example is also provided to clarify the concept.
Keywords :
network flow programming , fuzzy random variable , Er , expected value , chanceconstrained programming
Journal title :
Journal of Industrial and Systems Engineering (JISE)
Journal title :
Journal of Industrial and Systems Engineering (JISE)