Comparative analysis of results of application of markov and semi-Markov processes to reliability models of multi-state technical objects

• Autorzy: Rudnicki J.
• Języki publikacji: EN

Abstrakty

EN

During rational operation of technical objects and systems various operational decisions are made and decision-making process itself should be consisted in selecting that considered most favourable out of all possible to be taken. Choice of such decision is possible after taking into account many different information items but it never be completely correct without accounting for data and indices dealing with reliability. In the case when probabilistic principle of failure occurrence is determined , values of reliability indices can be estimated by using reliability mathematical models. During operation of many technical devices and systems ( e.g. ship main propulsion systems ) was observed many times the fact that their correct operation time is not a unique measure of their wear. Therefore for description of their serviceability and reliability can be used models of change of their reliability states in the form of semi-Markov processes based on the assumption of multi-state character of technical objects. This paper presents a comparative analysis of results of simulation reliability tests of a hypothetical technical object , obtained with the use of reliability models in the form of Markov processes and semi-Markov ones, corresponding to them, called also “half-Markov” processes.

Słowa kluczowe

EN

reliability; Markov processes; semi-Markov processes; multi-state technical object

PL

procesy Markowa; niezawodność; wielostanowy obiekt techniczny

• Wydawca: Faculty of Ocean Engineering and Ship Technology, Gdańsk University of Technology
• Czasopismo: Journal of Polish CIMEEAC
• Rocznik: 2016
• Tom: Vol. 11, no 1
• Strony: 169--181
• Opis fizyczny: Bibliogr. 13 poz., rys., tab., wykr.

Twórcy

autor

Rudnicki J.

• Politechnika Gdańska Ul. Narutowicza 11/12, 80-233 Gdańsk, Polska Tel.: [phone], fax: [phone]

Bibliografia

• [1] Benjamin J.R., Cornell C.A.: Probability calculus, mathematical statistics and decision theory for engineers ( in Polish). WNT, Warszawa 1977.
• [2] Bobrowski D., Ratajczak Z.: Laplace conform and its application ( in Polish). Wydawnictwo Politechniki Poznańskiej , Poznań 1985.
• [3] DeGroot M.: Optimum statistical decisions ( in Polish). PWN, Warszawa 1981.
• [4] Gercbach I.B., Kordonski Ch.B.: Reliability models of technical objects ( in Polish). WNT, Warszawa 1968.
• [5] Gichman I.I, Skorochod A.W.: Introduction to theory of stochastic processes ( in Polish). PWN, Warszawa 1968.
• [6] Girtler J.: Possible applications and usefulness of semi-Markov processes to models of machinery operational processes ( in Polish). Zagadnienia Eksploatacji Maszyn, Issue 3/1996, pp. 419÷428.
• [7] Grabski F.: Theory of semi-Markov processes of operation of technical objects ( in Polish). Zeszyty Naukowe AMW, No.75A, Gdynia 1982.
• [8] Jędrzejowicz P.: Selected decision models for production and operation ( in Polish). WK i Ł, Warszawa 1981.
• [9] Rudnicki J. : Working out the set of technical and power states of piston and connecting rod systems of engines , which occur during their operation (in Polish). Work done within frames of the following project (financed by Polish Ministry of Science and Higher Education) : „Decision - based control over operational process of piston and connecting rod systems of main self-ignition engines on sea-going ships , with application of technical diagnostics and taking into account safety and marine environment protection”. Gdańsk 2010.
• [10] Rudnicki J.: A reliability and functional model of marine ignition piston engine ( in Polish). PhD thesis (11.03.2000). Politechnika Szczecińska, Wydział Techniki Morskiej. Szczecin 2000.
• [11] Rudnicki J.: Application Issues of the Semi-Markov Reliability Model. Polish Maritime Research, Vol. 22, Issue 1, pp. 55 ÷ 64, Gdansk University of Technology, 2015.
• [12] Sadowski W.: Decision-making theory ( in Polish). Państwowe Wydawnictwo Ekonomiczne. Warszawa 1976.
• [13] Wentzell A.D.: Lectures on theory of stochastic processes ( in Polish). PWN, Warszawa 1980.

Uwagi

PL

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