Optimum design and replacement policies for k-out-of-n systems with deviation time and cost

Junyuan Wang (), Xufeng Zhao () and Jiawei Xiang ()
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Junyuan Wang: China Jiliang University
Xufeng Zhao: Nanjing University of Aeronautics and Astronautics
Jiawei Xiang: Wenzhou University

Annals of Operations Research, 2024, vol. 340, issue 1, No 25, 593-617

Abstract: Abstract In this paper, a new repairable k-out-of-n system model is proposed, in which the deviation cost of the system is taken into account. Firstly, the standard k-out-of-n system is replaced at planned time or at the failure time. Next, replacement policies are studied at planned time or periodic time when k is a constant. Thirdly, replacement policies are studied at planned time or periodic time when k is a random number, respectively. Finally, replacement policies are planned at the completion of random working time. The expected cost rate functions and its optimum replacement policies are derived analytically for each model. Meanwhile, optimum number of units is designed. The analytical solution of replacement policies for each model is discussed. Numerical examples are given to demonstrate our results.

Keywords: k-out-of-n system; Replacement; Deviation time; Maintenance policies; Working times (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-022-05043-1

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