Title: Reliability optimisation of parallel-series system with interval valued and fuzzy environment via GA

Authors: Anushri Maji; Asoke Kumar Bhunia; Shyamal Kumar Mondal

Addresses: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721102, WB, India ' Department of Mathematics, The University of Burdwan, Burdwan – 713104, WB, India ' Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721102, WB, India

Abstract: Reliability is an essential tool for a system. In this paper, we have considered a reliability optimisation problem in parallel-series system. Here, we have discussed about that how many components are needed to maximise the system reliability with some resource constraints such as cost, weight, volume, etc. Also, to get more relaxation we have assumed that the component reliabilities are interval valued number, lie between 0 and 1. Here, the constraint coefficients have been taken in fuzzy environment. Also, the fuzzy constraints have been defuzzified using possibility and necessity measures. The interval valued system reliability has been reduced to precise form applying centre-radius method. After reduction, our problem has been converted to a multi objective reliability optimisation problem with cost, volume, weight etc. as constraints. Finally, the proposed model has been illustrated numerically to study the feasibility of the system considering a real life example which has been solved by multi-objective genetic algorithm (MOGA).

Keywords: parallel-series system; interval valued component reliability; system reliability; fuzzy constraint coefficients; genetic algorithm.

DOI: 10.1504/IJOR.2022.122336

International Journal of Operational Research, 2022 Vol.43 No.3, pp.271 - 298

Received: 14 Aug 2018
Accepted: 18 Jun 2019
Published online: 20 Apr 2022 *

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