Semi-Markov model of multi-modal transport operation

• Autorzy: Grabski F.

Identyfikatory

DOI

10.5604/01.3001.0010.3165

• Języki publikacji: EN

Abstrakty

EN

Multi-modal transport means the transport of the objects through at least two different carriers of any combination of simple tasks of transport carriers (by truck, by train, by ship or by plane). A Semi-Markov (SM) model of multi-modal transport operation is presented in the article. The SM process is defined by the renewal kernel of that one. In our model, time to failure of the operation is represented by a random variable that denotes the first passage time from the given state to the subset of states. The duration of one operation cycle is a random variable representing the return time to the initial state. The appropriate theorems of the Semi-Markov processes theory allow us to calculate characteristics and parameters of the transport operation model. The article presents the example of the transport operation final part of container with cargo from Warsaw to Stockholm, where from Warsaw to Gdynia, the container is transported by lorry, from Gdynia to Karlscorona by ferry and from Karlscorona to Stockholm by truck.

Słowa kluczowe

EN

semi-Markov model; multistage transport operation; reliability function; mean time to failure

• 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: 2017
• Tom: Vol. 24, No. 4
• Strony: 47--54
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Grabski F.

• Polish Naval University, Department of Mathematics and Physics Śmidowicza Street 69, 81-127 Gdynia, Poland tel.: [phone], fax: [phone]

Bibliografia

• [1] Barlow, R. E, Proshan, F., Statistical theory of reliability and life testing, Holt, Rinchart and Winston, Inc., New York 1975.
• [2] Grabski, F., Semi-Markov models of reliability and operation, IBS PAN, pp. 161, Warszawa 2002.
• [3] Grabski, F., Semi-Markov Processes: Applications in Systems Reliability and Maintenance, Elsevier, Amsterdam, Boston, Heidelberg, London, New York, Oxford, Paris, San Diego, San Francisco, Sydney 2015.
• [4] Korolyuk.V. S., Turbin A. F., Semi-Markov processes and their applications, Naukova Dumka, Kiev 1976.
• [5] Zając, M., Reliability model of the inter-modal system, Ph.D. Thesis. Wroclaw University of Technology, Wrocław 2007.

Uwagi

EN

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