Bi-objective optimization of the reliability-redundancy allocation problem for series-parallel system |
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Authors: | Harish Garg Monica Rani SP Sharma Yashi Vishwakarma |
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Affiliation: | 1. School of Mathematics and Computer Applications, Thapar University, Patiala 147004, Punjab, India;2. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India |
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Abstract: | The main objective of this paper is to solve the bi-objective reliability redundancy allocation problem for series-parallel system where reliability of the system and the corresponding designing cost are considered as two different objectives. In their formulation, reliability of each component is considered as a triangular fuzzy number. In order to solve the problem, developed fuzzy model is converted to a crisp model by using expected values of fuzzy numbers and taking into account the preference of decision maker regarding cost and reliability goals. Finally the obtained crisp optimization problem has been solved with particle swarm optimization (PSO) and compared their results with genetic algorithm (GA). Examples are shown to illustrate the method. Finally statistical simulation has been performed for supremacy the approach. |
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Keywords: | Multi-objective optimization PSO Reliability-redundancy allocation problem Membership functions |
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