A stochastic model of changes in the operational states of means of transport

• Autorzy: Landowski B. , Perczyński D.

Identyfikatory

DOI

10.5604/01.3001.0012.2804

• Języki publikacji: EN

Abstrakty

EN

In the article, application of a Markov process for modelling the process of transport means operational state changes whose duration times can be estimated by Erlang distribution is presented. The research object is a system of city bus transport operation, used in a selected agglomeration. A homogenous Markov process was assumed a mathematical model of the process of transport means operation. Transformation of a stochastic process, for which distributions of random variables denoting duration times of the states are Erlang distributions, into a stochastic process characterized by exponential distribution of the state duration times, was performed at the costs of the state space extension. The use of a homogeneous Markov process for mathematical modelling of the operation process was dictated by the fact that the process reflects adequately, from the point of view of the research goal, the real operation process. In order to illustrate the process, a hypothetical, simplified calculation example was provided. Reliability of technical objects needs to be maintained at appropriate level, which is the responsibility of the repair and maintenance subsystem ensuring. This subsystem consists of two subsystems. The main tasks of the mobile emergency teams include providing vehicles, that is, buses that are outside the depot with the serviceability state as quickly as possible or hauling damaged buses to technical service stations.

Słowa kluczowe

EN

homogeneous Markov process; operation process; operational state; transport means

• Wydawca: Łukasiewicz Research Network - Institute of Aviation ; European Science Society of Powertrain and Transport KONES Poland ; Wydawnictwo Instytutu Technicznego Wojsk Lotniczych
• Czasopismo: Journal of KONES
• Rocznik: 2018
• Tom: Vol. 25, No. 2
• Strony: 223--230
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Landowski B.

• University of Science and Technology in Bydgoszcz Faculty of Mechanical Engineering Prof. S. Kaliskiego Ave. 7, 85-796 Bydgoszcz, Poland tel.: [phone], fax: [phone]

autor

Perczyński D.

• University of Science and Technology in Bydgoszcz Faculty of Mechanical Engineering Prof. S. Kaliskiego Ave. 7, 85-796 Bydgoszcz, Poland tel.: [phone], fax: [phone]

Bibliografia

• [1] Aranawiczjus, B. Sz., Macierzowa metoda rozwiązania układu równań różniczkowych dla procesu Markowa, Tekhnicheskaia Kibernetika, Nr 5, pp. 85-89, 1976.
• [2] Baykal-Gürsoy, M., Semi-Markov decision processes, Wiley Encyclopedia of Operations Research and Management Sciences, 2010.
• [3] Bobrowski, D., Modele i metody matematyczne teorii niezawodności w przykładach i zadaniach, WNT, Warszawa 1985.
• [4] Buslenko, N., Kałasznikow, W., Kowalenko, I., Teoria systemów złożonych, PWN, Warszawa 1979.
• [5] Grabski, F., Theory of semi-Markov processes of technical objects operation and maintenance, Scientific Bulletins of AMW, No. 75A, Gdynia 1982.
• [6] Knopik, L., Migawa, K., Optimal age-replacement policy for non-repairable technical objects with warranty, Maintenance and Reliability, Vol. 19, No. 2, pp. 172-178, 2017.
• [7] Landowski, B., Perczyński, D., Kolber, P., Muślewski, Ł., An example of Markov model of technical objects maintenance process, Engineering Mechanics 2016, 22nd International Conference, May 9-12, 2016, Czech Republic, Book of full texts, Institute of Thermomechanics Academy of Sciences of the Czech Republic, pp. 346-349, Svratka 2016.
• [8] Landowski, B., Perczyński, D., Kolber, P., Muślewski, Ł., Economic aspects of a city transport means purchase, Proceedings of 58th International Conference of Machine Design Departments – ICMD 2017, Publisher: Czech University of Life Sciences Prague, Czech Republic, pp. 194-199, Prague 2017.
• [9] Landowski, B., Woropay, M., Neubauer, A., Sterowanie niezawodnością w systemachtransportowych, Biblioteka Problemów Eksploatacji, ITE, Bydgoszcz-Radom 2004.
• [10] Landowski, B., Muślewski, Ł., Decision model of an operation and maintenance process of city buses, Proceedings of 58th International Conference of Machine Design Departments – ICMD 2017, Publisher: Czech University of Life Sciences Prague, Czech Republic, pp. 188-193, 2017.
• [11] Landowski, B., Pająk, M., Żółtowski, B., Muślewski, Ł., Method of building a model of operational changes for the marine combustion engine describing the impact of the damages of this engine on the characteristics of its operation process, Polish Maritime Research, No. 4 (96), Vol. 24, pp. 67-76, 2017.
• [12] Landowski, B., Muślewski, Ł., Numerical simulation of stochastic process as a model of technical object state changes, Engineering Mechanics 2018, 24nd International Conference, May 14-17, 2018, Svratka, Czech Republic, Book of full texts, Institute of Theoretical and Appiled Mechanics of the Czech Academy of Sciences, Prague, pp. 485-488, 2018.
• [13] Sołowiew, A. D., Analityczne metody w teorii niezawodności, WNT, Warszawa 1983.
• [14] Woropay, M., Landowski,B., Perczyński, D., Zastosowanie procesu Markowa do modelowania zmian stanów eksploatacyjnych pojazdów charakteryzujących się niewykładniczymi rozkładami czasów ich trwania, Archiwum motoryzacji, No. 3, pp. 197-210, 2004.
• [15] Woropay, M., Knopik, L., Landowski, B., Modelowanie procesów eksploatacji w systemie transportowym, Biblioteka Problemów Eksploatacji, ITE, Bydgoszcz-Radom 2001.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).