Constructing stochastic models for investigation of dangerous events and accidents number in Baltic Sea region ports

• Autorzy: Grabski F.
• Języki publikacji: EN

Abstrakty

EN

The stochastic processes theory provides concepts and theorems that allow to build probabilistic models concerning incidents or (and) accidents. Counting processes are applied for modelling number of the dangerous events and accidents number in Baltic Sea region ports in the given time intervals. A crucial role in construction of the models plays a Poisson process and its generalizations. Three models of the incidents or (and) accidents number in the seaports are here constructed. Moreover some procedures of the model parameters identification and the computer procedures for anticipation of the dangerous events number are presented in the paper.

Słowa kluczowe

EN

stochastic process; Poisson process; safety characteristics

• Wydawca: Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Journal of Polish Safety and Reliability Association
• Rocznik: 2016
• Tom: Vol. 7, No. 1
• Strony: 73--78
• Opis fizyczny: Bibliogr. 9 poz., wykr.

Twórcy

autor

Grabski F.

• Naval University, Gdynia, Poland

Bibliografia

• [1] Barlow, R. E. & Proshan, F. (1975). Statistical theory of reliability and life testing. New York: Holt, Rinchart and Winston, Inc.
• [2] Cinlar, E. (1969). Markov renewal theory. Adv. Appl. Probab 2, 1, 123-187.
• [3] Feller, W. (1964). On semi-Markov processes. Proc. Nat. Acad. Sci. USA, 51, 4, 653-659.
• [4] Fisz M. (1969) Probability and Mathematical Statistics. PWN, Warsaw. (in Polish).
• [5] Grabski, F. (2002). Semi-Markov models of reliability and operation. IBS PAN. Warsaw. (in Polish).
• [6] Grabski, F. (2014). Semi-Markov Processes: Applications in Systems Reliability and Maintenance. Elsevier; Amsterdam, Boston, Heidelberg, London, New York, Oxford, Paris, San Diego, San Francisco, Sydney.
• [7] Korolyuk, V. S. & Turbin, A. F. (1976). Semi-Markov processes and their applications. Naukova Dumka, Kiev. (in Russian).
• [8] Limnios, N. & Oprisan, G. (2001). Semi-Markov Processes and Reliability. Birkhauser, Boston.
• [9] Shiryayev, A. N. (1984). Probability. Springer Verlag, New York, Berlin, Heidelberg, Tokyo.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).