Optimisation analysis of the F -policy retrial machine repair problem with working breakdowns

Tseng-Chang Yen, Chia-Huang Wu, Kuo-Hsiung Wang and Wei-Ping Lai

International Journal of Industrial and Systems Engineering, 2022, vol. 40, issue 2, 200-227

Abstract: This paper deals with a retrial machine repair problem with working breakdowns that combines F-policy and exponentially start-up time before allowing failed machines to join the system. A server is subject to working breakdowns when at least one failed machine is in the system. Using the matrix-analytic method, we develop the steady-state probabilities of the number of failed machines in an orbit. Closed-form expressions of major system performance characteristics and the total expected cost function are presented. A particle swarm optimisation algorithm is implemented to determine the optimal management F-policy and joint optimal values for fast and slow service rates simultaneously at minimum cost. A sensitivity analysis with numerical illustrations is as well presented.

Keywords: F -policy; matrix-analytic method; optimisation analysis; retrial; sensitivity analysis; working breakdowns. (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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