A Genetic Algorithm Based Hybrid Approach for Reliability-Redundancy Optimization Problem of a Series System with Multiple-Choice

• Published in: International journal of mathematical, engineering and management sciences Vol. 2; no. 3; pp. 185 - 212
• Main Authors: Bhunia, Asoke Kumar, Duary, Avijit, Sahoo, Laxminarayan
• Format: Journal Article
• Language: English
• Published: Dehradun International Journal of Mathematical, Engineering and Management Sciences 01.09.2017; Ram Arti Publishers
• Subjects: Constrained integer nonlinear optimization; Genetic algorithm; Genetic algorithms; Multiple choice; Multiple-choice constraints; Reliability-redundancy optimization; Self-organizing migrating algorithm
• ISSN: 2455-7749; 2455-7749
• DOI: 10.33889/IJMEMS.2017.2.3-016

The goal of this paper is to introduce an application of hybrid algorithm in reliability optimization problems for a series system with parallel redundancy and multiple choice constraints to maximize the system reliability subject to system budget and also to minimize the system cost subject to minimum level of system reliability. Both the problems are solved by using penalty function technique for dealing with the constraints and hybrid algorithm. In this algorithm, the well-known real coded Genetic Algorithm is combined with Self-Organizing Migrating Algorithm. As special cases, both the problems are formulated and solved considering single component without redundancy. Finally, the proposed approach is illustrated by some numerical examples and the computational results are discussed.