
The Library
A two component railway model exhibiting service collapse
Tools
Ball, Robin, Panja, Debabrata and Barkema, Gerard T. (2016) A two component railway model exhibiting service collapse. Working Paper. Coventry: University of Warwick. (Unpublished)
![]() |
PDF
WRAP_Ball_Two_Component_Railway_Model_2016.pdf - Other - Requires a PDF viewer. Download (1502Kb) |
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: |
|
||||
Number of Pages: | 10 | ||||
Institution: | University of Warwick | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Unpublished | ||||
Funder: | Rijksuniversiteit te Utrecht |
Request changes or add full text files to a record
Repository staff actions (login required)
![]() |
View Item |
Downloads
Downloads per month over past year