Availability control for means of transport in decisive semi-Markov models of exploitation process

Klaudiusz Migawa

doi:10.2478/v10174-012-0030-4

Authors

Klaudiusz Migawa University of Technology and Life Sciences, Bydgoszcz, Poland Author

DOI:

https://doi.org/10.2478/v10174-012-0030-4

Keywords:

means of transport, semi-Markov model, readiness of transport means

Abstract

The issues presented in this research paper refer to problems connected with the control process for exploitation implemented in the complex systems of exploitation for technical objects. The article presents the description of the method concerning the control availability for technical objects (means of transport) on the basis of the mathematical model of the exploitation process with the implementation of the decisive processes by semi-Markov. The presented method means focused on the preparing the decisive for the exploitation process for technical objects (semi-Markov model) and after that specifying the best control strategy (optimal strategy) from among possible decisive variants in accordance with the approved criterion (criteria) of the activity evaluation of the system of exploitation for technical objects. In the presented method specifying the optimal strategy for control availability in the technical objects means a choice of a sequence of control decisions made in individual states of modelled exploitation process for which the function being a criterion of evaluation reaches the extreme value. In order to choose the optimal control strategy the implementation of the genetic algorithm was chosen. The opinions were presented on the example of the exploitation process of the means of transport implemented in the real system of the bus municipal transport. The model of the exploitation process for the means of transports was prepared on the basis of the results implemented in the real transport system. The mathematical model of the exploitation process was built taking into consideration the fact that the model of the process constitutes the homogenous semi-Markov process.

References

Cao X.-R.: Semi-Markov decision problems and performance sensitivity analysis. IEEE Transactions on Automatic Control, vol. 48, no. 5, 2003.

Grabski F.: Analiza ryzyka w decyzyjnych semi-markowskich modelach procesu eksploatacji. XXXVIII Zimowa Szkoła Niezawodności, Szczyrk, 2010.

Grabski F., Jaźwiński J.: Funkcje o losowych argumentach w zagadnieniach niezawodności, bezpieczeństwa i logistyki. WKiŁ, Warszawa, 2009.

Goldberg D.E.: Algorytmy genetyczne i ich zastosowanie. WNT, Warszawa, 2003.

Howard R.A.: Dynamic probabilistic systems. Semi-Markov and decision processes. vol. 2, John Wiley, New York, 1971.

Jaźwiński J., Grabski F.: Niektóre problemy modelowania systemów transportowych. Instytut Technologii Eksploatacji, Warszawa-Radom, 2003.

Kashtanov V.A.: Controlled semi-Markov processes in modeling of the reliability and redundancy maintenance of queueing systems. Applied Statistics and Operation Research, vol. 14, 2010.

Koroluk V.S.: Modele stochastyczne systemów. Naukova Dumka, Kiev, 1989.

Koroluk V.S., Turbin A.F.: Semi-Markov processes and their application. Naukova Dumka, Kiev, 1976.

Kowalenko I.N., Kuzniecow N.J., Szurienkow W.M.: Procesy stochastyczne. Poradnik, PWN, Warszawa, 1989.

Kulkarni V.G.: Modeling and analysis of stochastic systems. Chapman&Hall, New York, 1995.

Kusiak J., Danielewska-Tułecka A., Oprocha P.: Optymalizacja. Wybrane metody z przykładami zastosowan. PWN, Warszawa, 2009.

Mine H., Osaki S.: Markovian decision processes. AEPCI, New York, 1970.

Migawa K.: Semi-Markov model of the availability of the means of municipal transport system. Zagadnienia Eksploatacji Maszyn, 3 (159), vol. 44, Radom, 2009.

Puterman M.L.: Markov decision processes. John Wiley, New York, 1994.