Necessity for and possibility of application of the theory of semimarkov processes to determine reliability of diagnosing systems

• Autorzy: Girtler J.
• Języki publikacji: EN

Abstrakty

EN

The paper provides justification for the necessity to define reliability of diagnosing systems (SDG) in order to develop a diagnosis on state of any technical mechanism being a diagnosed system (SDN). It has been shown that the knowledge of SDG reliability enables defining diagnosis reliability. It has been assumed that the diagnosis reliability can be defined as a diagnosis property which specifies the degree of recognizing by a diagnosing system (SDG) the actual state of the diagnosed system (SDN) which may be any mechanism, and the conditional probability p(S*/K*) of occurrence (existence) of state S* of the mechanism (SDN) as a diagnosis measure provided that at a specified reliability of SDG, the vector K* of values of diagnostic parameters implied by the state, is observed. The probability that SDG is in the state of ability during diagnostic tests and the following diagnostic inferences leading to development of a diagnosis about the SDN state, has been accepted as a measure of SDG reliability. The attention has been paid that in order to make an operating decision not only the knowledge of a diagnosis reliability is required, but also the knowledge of consequences (c) of making a given decision that belongs to a set of decisions possible to be made in a given operating situation. The Bayesian statistical decision theory has been proposed to apply for making operating decisions. Herein, it has been used the simplest decision model which assumes that there can only be made one from among two possible operating decisions: 1) perform, first of all, a suitable preventive service for the mechanism (SDN) under operation, in order to renew its functional properties and then start executing the task, 2) start executing the ordered task without prior performance of a preventive maintenance of the mechanism. The theory of semi-Markov processes has been used for defining the SDG reliability, that enabled to develop a SDG reliability model in the form of a seven-state (continuous-time discrete-state) semi-Markov process of changes of SDG states.

Słowa kluczowe

EN

decision; diagnostics; probability; reliability; diagnosing system

• Wydawca: Faculty of Ocean Engineering and Ship Technology, Gdańsk University of Technology
• Czasopismo: Journal of Polish CIMAC
• Rocznik: 2012
• Tom: Vol. 7, no 2
• Strony: 45--54
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Girtler J.

• Gdansk University of Technology Faculty of Ocean Engineering and Ship Technology Department of Marine and Land Power Plants tel. [phone]; fax [phone],

Bibliografia

• [1] Benjamin J.R., Cornell C.A.: Probability, Statistics, and Decision for Civil Engineers. Wyd. polskie Rachunek prawdopodobie_stwa, statystyka matematyczna i teoria decyzji dla inżynierów. WNT, Warszawa 1977.
• [2] Girtler J.: Diagnostyka jako warunek sterowania eksploatacją okrętowych silników spalinowych. Studia Nr 28. WSM, Szczecin 1997.
• [3] Girtler J.: Zastosowanie bayesowskiej statystycznej teorii decyzji do sterowania procesem eksploatacji urządzeń. Materiały XXII Zimowej Szkoły Niezawodności nt. Wartościowanie niezawodnościowe w procesach realizacji zadań technologicznych w ujęciu logistycznym. SPE KBM PAN, Szczyrk 1994, s.5562.
• [4] Girtler J.: Wiarygodność diagnozy a podejmowanie decyzji eksploatacyjnych. Materiały Kongresu Diagnostyki Technicznej KDT’96 TII. Zespół Diagnostyki SPE KBM PAN, PTDT, IMP PAN w Gdańsku, Politechnika Śląska w Gliwicach, Politechnika Poznańska, Gdańsk 1996, s.271276.
• [5] Girtler J.: Probabilistic measures of a diagnosis’ likelihood about the technical state of transport means. Archives of Transport, vol. 11, iss. 3-4. Polish Academy of Sciences. Committee of Transport, pp.3342.
• [6] Grabski F.: Teoria semi-markowskich procesów eksploatacji obiektów technicznych. Zeszyty Naukowe AMW, nr 75 A, Gdynia 1982.
• [7] Grabski F.: Semi-markowskie modele niezawodności i eksploatacji. PAN. IBS, Warszawa 2002.
• [8] Niziński S., Michalski R.: Diagnostyka obiektów technicznych. Wyd. ITE, Radom 2002.
• [9] Pabis S.: Metodologia i metody nauk empirycznych. PWN, Warszawa 1985.
• [10] Żółtowski B.: Podstawy diagnostyki maszyn. Wyd. ATR w Bydgoszczy, Bydgoszcz 1996