Corresponding Authors:

H. Hamdy¹, M. R. Hassan¹, M. Eid¹ and M. Khalifa²,
¹Aswan University, Egypt and ²South Valley University, Egypt

Abstract

Optimal components assignment problem subject to system reliability, total lead-time, and total cost constraints is studied in this paper. The problem is formulated as fuzzy linear problem using fuzzy membership functions. An approach based on genetic algorithm with fuzzy optimization to sole the presented problem. The optimal solution found by the proposed approach is characterized by maximum reliability, minimum total cost and minimum total lead-time. The proposed approach is tested on different examples taken from the literature to illustrate its efficiency in comparison with other previous methods.

Keywords

Components Assignment Problem, Stochastic-Flow Networks, Network Reliability, Fuzzy Multi-Objective Linear Programming, Genetic Algorithms.