 Running times on railway sections with heterogeneous train trafficTijs Huisman and Richard J. Boucherie Transportation Research Part B: Methodological, 2001, vol. 35, issue 3, 271-292 Abstract: In contemporary railway traffic, different train services often run on the same track of a railway section. Since these train services generally travel at different speed, this may result in delays due to fast trains being caught behind slower ones. This note investigates these delays developing a stochastic model capturing both scheduled and unscheduled train movements. Running time distributions for each train service can be obtained solving a system of linear differential equations. This system can be solved explicitly when free running times for all train services are deterministic. The mathematical model falls in the class of infinite server resequencing queues, and the results generalise existing results for such queues, allowing dependence between consecutive interarrival times, as well as between interarrival times and service times. A case study of a railway section in the Dutch railway network illustrates the practical value of the model, both for long and short term railway planning. Date: 2001 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:transb:v:35:y:2001:i:3:p:271-292 Ordering information: This journal article can be ordered from Access Statistics for this article Transportation Research Part B: Methodological is currently edited by Fred Mannering More articles in Transportation Research Part B: Methodological from Elsevier |
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