The improvement upon the reliability of the k-out-of-n:F system with the repair rates differentiation policy

Xiaojun Liang () and Yinghui Tang ()
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Xiaojun Liang: Sichuan Normal University
Yinghui Tang: Sichuan Normal University

Operational Research, 2019, vol. 19, issue 2, No 9, 479-500

Abstract: Abstract A manufacturing system includes not only the production system but also a repair facility. With increasing number of repairs, the repaired components will become more fragile and need more time to repair when they fail. In such case, the repair facility might suffer a “congestion” dilemma if the failed components cannot be repaired immediately. This paper investigates the reliability improvement of a k-out-of-n:F system under repair-rate differentiation policy, which might decrease the expected waiting time for repair without an increase in repair capacity. First, by comparing the mean queue-length in front of the repair facility, we show that the mixed-repair policy developed in this paper is dominant over the pure-repair policy in relieving the repair congestion problem. Then, we derive the optimal solution under the repair-rate differentiation policy, which minimizes the expected waiting time for repair of the failed components. Finally, when the buffer area is exhausted or component deterioration becomes too severe, the time of batch replacement is proposed in a practical example of the textile mill.

Keywords: Reliability improvement; k-out-of-n:F system; Repair-rate differentiation policy; Expected waiting time for repair (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s12351-017-0296-7

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