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Reliability analysis of a multistate system with a replaceable repair facility. (English) Zbl 0664.60086
This paper considers a one-unit multistate repairable system where the repair facility is subject to failure and can be replaced by a new one after it fails. By using renewal theory, we obtain some reliability quantities of the system and the repair facility.

60K10 Applications of renewal theory (reliability, demand theory, etc.)
90B25 Reliability, availability, maintenance, inspection in operations research
Full Text: DOI
[1] Cao Jinhua and Cheng Kan, Introduction to the Reliability Mathematics, Science Press, Beijing 1986.
[2] Cao Jinhua and Cheng Kan, Analysis ofM/G/1 Queuing System with Repairable Service Station,Acta Mathematicae Applicatae Sinica,5 (1982), 113–127. (in Chinese) · Zbl 0514.60094
[3] Cao Jinhua, Analysis of a Machine Service Model with a Repairable Service Equipment,Journal of Mathematical Research and Exposition,5 (1985), 93–100. · Zbl 0599.90034
[4] B. Avi-Itzhak and P. Naor, Some Queuing Problems with the Service Station Subject to Breakdown,Opns. Res.,11 (1963), 303–320. · Zbl 0114.34202
[5] K. Thiruvengdan, Queueing with Breakdown,Opns. Res.,11 (1963), 62–71. · Zbl 0109.36701
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