Optimisation analysis of the F-policy retrial machine repair problem with working breakdowns
by Tseng-Chang Yen; Chia-Huang Wu; Kuo-Hsiung Wang; Wei-Ping Lai
International Journal of Industrial and Systems Engineering (IJISE), Vol. 40, No. 2, 2022

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.

Online publication date: Wed, 23-Feb-2022

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