On the time to failure of systems with large replenishable reverse time. (English. Russian original) Zbl 0738.90036
J. Sov. Math. 57, No. 5, 3429-3432 (1991); translation from Din. Sist., Kiev 6, 95-101 (1987).
See the review in Zbl 0666.90036.
MSC:
| 90B25 | Reliability, availability, maintenance, inspection in operations research |
| 60K15 | Markov renewal processes, semi-Markov processes |
| 60K25 | Queueing theory (aspects of probability theory) |
| 90B22 | Queues and service in operations research |
Keywords:
time to failure; stationary distribution; imbedded Markov chain; semi- Markov processes; mass service system; augmentable time reserve; demand- free working timeCitations:
Zbl 0666.90036References:
| [1] | G. N. Cherkesov,Reliability of Technical Systems with Surplus Time [in Russian], Soviet Radio, Moscow (1974). |
| [2] | B. P. Kredentser,Predicting the Reliability of Systems with Surplus Time [in Russian], Naukova Dumka, Kiev (1978). · Zbl 0419.62077 |
| [3] | Yu. E. Obzherin, ”A Markov renewal process for systems with replenishable reserve time,” in:Analytic Methods of the Theory of Probability [in Russian], Inst. Matem. Akad. Nauk UkrSSR (1983), pp. 83–90. |
| [4] | V. S. Korolyuk and A. F. Turbin,Markov Renewal Processes in System Reliability Problems [in Russian], Naukova Dumka, Kiev (1982). · Zbl 0508.60073 |
| [5] | V. S. Korolyuk and A. F. Turbin,Semimarkov Processes and their Applications [in Russian], Naukova Dumka, Kiev (1976). · Zbl 0371.60106 |
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