Int J Performability Eng ›› 2009, Vol. 5 ›› Issue (3): 227-234.doi: 10.23940/ijpe.09.3.p227.mag

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A Multi-objective Genetic Algorithm for Reliability Optimization Problem

AMAR KISHOR1, SHIV PRASAD YADAV1, and SURENDRA KUMAR2   

  1. 1Department of Mathematics, I.I.T Roorkee, Roorkee, India:247667
    2Department of Electrical Engineering, I.I.T Roorkee, Roorkee, India:247667

Abstract:

This paper considers the allocation of maximum reliability to a complex system, while minimizing the cost of the system, a type of multi-objective optimization problem (MOOP). Multi-objective Evolutionary Algorithms (MOEAs) have been shown in the last few years as powerful techniques to solve MOOP .This paper successfully applies a Nondominated sorting genetic algorithm (NSGA-II) technique to obtain the Pareto optimal solution of a complex system reliability optimization problem under fuzzy environment in which the statements might be vague or imprecise. Decision-maker (DM) could choose, in a "posteriori" decision environment, the most convenient optimal solution according to his/her level of satisfaction. The efficiency of NSGA-II in solving this problem is demonstrated by comparing its results with those of simulated annealing (SA) and nonequilibrium simulated annealing (NESA).
Received on November 1, 2007, revised on October 24, 2008
References: 14