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Operations Research Transactions >

2024 , Vol. 28 >Issue 4: 44 - 56

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2024.04.004

Reliability modeling and optimization of k=(M+N): G system based on retrial mechanism and switching failure

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  • 1. School of Science, Yanshan University, Qinhuangdao 066004, Hebei, China
    2. School of Economics and Management, Yanshan University, Qinhuangdao 066004, Hebei, China

Received date: 2022-09-09

  Online published: 2024-12-20

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, 2024, All rights reserved, without authorization
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Abstract

In this paper, the reliability and optimization model of repairable $k/(M+N):G$ retrial system with standby switching failure, Bernoulli vacation and working breakdown is established. It is assumed that when the working component fails, it is replaced by a warm standby component that has not yet failed. The replacement operation will lead to the failure of the warm standby component with a certain probability. In retrial space, the failed components follow the principle of random retrial. By using Runge-Kutta method and Cramer's rule, the transient and steady-state probabilities of the system are solved respectively, and the transient and steady-state reliability indexes and some other steady-state performance indexes of the system are obtained. Based on the defined cost elements and the steady-state performance indexes of the system, a minimization model of the total cost function per unit time is constructed, and the genetic particle swarm optimization (GA_PSO) hybrid algorithm is used to solve the optimization design model. The effects of different system parameters on the total cost function per unit time and steady-state performance index are evaluated by numerical experiments. The experimental results verify the reliability of the established model.

Key words： retrial; Bernoulli vacation; working breakdown; switching failure; reliability; optimization

Cite this article

Jing LI, Linmin HU, Mingjia LI . Reliability modeling and optimization of k=(M+N): G system based on retrial mechanism and switching failure[J]. Operations Research Transactions, 2024 , 28(4) : 44 -56 . DOI: 10.15960/j.cnki.issn.1007-6093.2024.04.004

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