2002
DOI: 10.1016/s0377-2217(01)00269-7
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A solvable queueing network model for railway networks and its validation and applications for the Netherlands

Abstract: The performance of new railway networks cannot be measured or simulated, as no detailed train schedules are available. Railway infrastructure and capacities are to be determined long before the actual traffic is known. This paper therefore proposes a solvable queueing network model to compute performance measures of interest without requiring train schedules (timetables). Closed form expressions for mean delays are obtained. New network designs, traffic scenarios, and capacity expansions can so be evaluated. A… Show more

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Cited by 64 publications
(34 citation statements)
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“…Huisman et al [3] developed a queuing network model to compute the long-term performance of rail networks. To achieve this, a decomposition of the network and its detailed components was necessary.…”
Section: Queuing Modelsmentioning
confidence: 99%
See 1 more Smart Citation
“…Huisman et al [3] developed a queuing network model to compute the long-term performance of rail networks. To achieve this, a decomposition of the network and its detailed components was necessary.…”
Section: Queuing Modelsmentioning
confidence: 99%
“…Yuan and Hansen [4] and Meester and Muns [5] have both emphasised the lack of queuing models to consider timetables, since they are reliant on probability distributions for inter-arrival times. Moreover, fixed arrival and departure times were also not considered, and the impact of speed variations was [3] instead suggested a way to capture speed variances among different train types by ignoring block (signalling) sections in a section between stations. However, the model does include one block section before and after each station, to ensure that trains do not arrive in bulk at stations.…”
Section: Queuing Modelsmentioning
confidence: 99%
“…Huisman, Boucherie and Van Dijk developed a stochastic analytical waiting line model for analyzing delays at a double track section (Huisman and Boucherie, 2001;Huisman et al, 2002). Their models are based on train frequencies and running times only, not on detailed timetables with arrival and departure times.…”
Section: Literature Overviewmentioning
confidence: 99%
“…Indeed, several papers focus also on the issue of capacity at network level; for example [16] suggest an analytical approach while [17] a queuing model for capacity assessment of a railway system.…”
Section: Introductionmentioning
confidence: 99%