A two component railway model exhibiting service collapse

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Abstract

We model a railway network in terms of the flow of trains, and of memory of how long crews have been on duty. We impose limits at stations on the throughput of trains, the duty time of crew, and the availability of fresh crew. In the regime where the traffic is limited by crew renewal, we find the system is linearly unstable with respect to spatial fluctuations leading to lengthening queues of trains. Numerical simulations show that this instability can lead to a collapse in service in which a majority of all trains are trapped queuing at a minority of stations.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: Q Science > QA Mathematics
T Technology > TF Railroad engineering and operation
Divisions: Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science
Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): Railroads -- Joint use of facilities -- Mathematical models, Railroads -- Timetables , Railroad stations , Railroads -- Employees -- Hours of labor, Railroad tracks
Publisher: University of Warwick
Place of Publication: Coventry
Official Date: 4 September 2016
Dates:
Date
Event
4 September 2016
Created
Number of Pages: 10
Institution: University of Warwick
Status: Not Peer Reviewed
Publication Status: Unpublished
Funder: Rijksuniversiteit te Utrecht
URI: https://wrap.warwick.ac.uk/81367/

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