Stochastic delay propagation in railway networks and phase-type distributions

Autor:	Sander Muns, Ludolf Erwin Meester
Rok vydání:	2007
Předmět:	Mathematical optimization Queueing theory Mathematical model Stochastic modelling Computer science Stochastic process Simulation modeling Phase (waves) Applied mathematics Transportation Management Science and Operations Research Type (model theory) Civil and Structural Engineering
Zdroj:	Transportation Research Part B: Methodological. 41:218-230
ISSN:	0191-2615
Popis:	It is difficult to analyse stochastic models for the propagation of delays in railway networks. It seems that the choice is between very global mathematical (queueing) models at one extreme and simulation models at the other. In this paper we discuss a (fairly general but not too detailed) model for delay propagation and show that in a world of so-called phase-type distributions it is possible to derive secondary delay distributions from primary delay distributions. We shall explain why phase-type distributions and the delay propagation model are suited for each other and show by an example that it is possible to develop algorithms that analyse such networks.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::62a1258a5c8b990f4253429e11eca5c6 https://doi.org/10.1016/j.trb.2006.02.007 Zobrazit plný text záznamu Full Text from ScienceDirect