A general model of industrial systems operation processes related to their environment and infrastructure

• Autorzy: Kołowrocki K. , Soszyńska J.
• Języki publikacji: EN

Abstrakty

EN

The operation process of the complex industrial system is considered and its operation states are introduced. The semi-markov process is used to construct a general probabilistic model of the considered complex industrial system operation process. To build this model the vector of probabilities of the system operation process initials operation states, the matrix of probabilities of the system operation process transitions between the operation states, the matrix of conditional distribution functions and the matrix of conditional density functions of the system operation process conditional sojourn times in the operation states are defined. To describe the system operation process conditional sojourn times in the particular operation states the uniform distribution, the triangle distribution, the double trapezium distribution, the exponential distribution, the Weibull distribution and the normal distribution are suggested. Under these all assumptions from the constructed general model the main characteristics of the system operation process are find. The mean values of the system operation process conditional sojourn times in particular operation states having these distributions are calculated. Moreover, the unconditional distribution functions of the system operation process unconditional sojourn times in the particular operation states, the mean values of the system operation process unconditional sojourn times in the particular operation states, the limit values of the transient probabilities of the system operation process at the particular operation states and the mean values of the system operation process total sojourn times in the particular operation states are determined.

Słowa kluczowe

EN

system operation process; semi-markov process; system in varying operation

• Wydawca: Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Journal of Polish Safety and Reliability Association
• Rocznik: 2008
• Tom: Vol. 2
• Strony: 223--226
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Kołowrocki K.

• Maritime University, Gdynia, Poland

autor

Soszyńska J.

• Maritime University, Gdynia, Poland

Bibliografia

• [1] Grabski, F. (2002). Semi-Markov Models of Systems Reliability and Operations. Systems Research Institute, Polish Academy of Sciences, Warsaw.
• [2] Kołowrocki, K. (1994). Wybrane wykłady z rachunku prawdopodobieństwa i statystyki matematycznej. Fundacja Rozwoju Wyższej Szkoły Morskiej, Gdynia.
• [3] Kołowrocki, K. (2004). Reliability of Large Systems, Elsevier.
• [4] Kołowrocki, K. & Soszyńska, J. (2006). Reliability and availability of complex systems. Quality and Reliability Engineering International. Vol. 22, Issue 1, J. Wiley & Sons Ltd., 79-99.
• [5] Kołowrocki, K. & Soszyńska, J. (2007). Reliability, availability and risk evaluation of large systems. Proc. Risk, Quality and Reliability International Conference. Keynote Speech, Ostrava, 95-106.
• [6] Soszyńska, J. (2006). Reliability of large series-parallel system in variable operation conditions. International Journal of Automation and Computing. Vol. 3, No 2, 199-206.
• [7] Soszyńska, J. (2006). Reliability evaluation of a port oil transportation system in variable operation conditions. International Journal of Pressure Vessels and Piping. Vol. 83, Issue 4, 304-310.

Uwagi

The paper is a part of the Poland-Singapore Joint Research Project “Safety and Reliability of Complex Industrial Systems and Processes” granted by the Poland’s Ministry of Science and Higher Education (MSHE) and by Singapore’s Agency for Science, Technology and Research (A*STAR ). Project Website: http://p-sjp.am.gdynia.pl/index.php