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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.

MSC:
60K10 Applications of renewal theory (reliability, demand theory, etc.)
90B25 Reliability, availability, maintenance, inspection in operations research
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References:
[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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