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

Authors: Tseng-Chang Yen; Chia-Huang Wu; Kuo-Hsiung Wang; Wei-Ping Lai

Addresses: Department of Applied Mathematics, National Chung Hsing University, Taichung 402, Taiwan ' Department of Industrial Engineering and Management, National Chiao Tung University, Hsinchu 300, Taiwan ' Department of Business Administration, Asia University, Wufeng, Taichung 41354, Taiwan ' Department of Applied Mathematics, National Chung Hsing University, Taichung 402, Taiwan

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.

DOI: 10.1504/IJISE.2022.121068

International Journal of Industrial and Systems Engineering, 2022 Vol.40 No.2, pp.200 - 227

Received: 09 Oct 2019
Accepted: 06 Jan 2020

Published online: 23 Feb 2022 *

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