1. bookVolume 6 (2008): Issue 3 (September 2008)
Journal Details
License
Format
Journal
eISSN
2083-4608
ISSN
1895-8281
First Published
26 Feb 2008
Publication timeframe
4 times per year
Languages
English
access type Open Access

Semi-Markov Models of Safety of the Renewal Systems Operation

Published Online: 21 Oct 2008
Volume & Issue: Volume 6 (2008) - Issue 3 (September 2008)
Page range: 153 - 176
Journal Details
License
Format
Journal
eISSN
2083-4608
ISSN
1895-8281
First Published
26 Feb 2008
Publication timeframe
4 times per year
Languages
English
Semi-Markov Models of Safety of the Renewal Systems Operation

Usually, the renewal systems are mathematically described by the alternating renewal process, which is special case of the semi-Markov process. It allows us to find the basic reliability characteristics like the renewal function, the operational availability of the system and many other. Many papers are devoted to that problem. Very often the operation of the system is perturbed by the danger events. The operation process of the system is broken or stopped. In that case we can say that the unsafety event occurred. Semi-Markov model of the safety of operation is constructed in this paper. The safety characteristics of the system operation are calculated by using the properties of the semi-Markov processes.

Keywords

Броди С.М., Власенко О.Н.: Надежность систем со многими режимами работы, [в:] Теория надежности и массовое обслуживание, Изд-во Наука, Москва 1969.Search in Google Scholar

Grabski, F., Semi-Markowskie modele niezawodności i eksploatacji. IBS PAN Warszawa, 2002.Search in Google Scholar

Grabski, F., The reliability of the object with semi-Markov failure rate. Applied Mathematics and Computation, Elsevier 2003.10.1016/S0096-3003(01)00271-5Search in Google Scholar

Grabski, F., Jaźwiński, J.: Metody bayesowskie w niezawodności i diagnostyce. Wydawnictw Komunikacji i Łączności, Warszawa 2001.Search in Google Scholar

Jaźwiński, J., Grabski, F.: Niektóre problemy modelowania systemów transport owych. Instytut Technologii Eksploatacji, Radom 2003.Search in Google Scholar

Jaźwiński, J., Ważyńska-Fiok, K.: Bezpieczeństwo systemów. PWN, Warszawa 1993.Search in Google Scholar

Ważyńska-Fiok, K., Jaźwiński, J.: Niezawodność systemów technicznych. PWN, Warszawa 1990.Search in Google Scholar

Żurek, J.: Modelowanie symboliczne systemów bezpieczeństwa i niezawodności w transporcie lotniczym. Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa 1998.Search in Google Scholar

Recommended articles from Trend MD

Plan your remote conference with Sciendo