The University of Southampton
University of Southampton Institutional Repository

Determining rail network accessibility

Waterson, B.J. and Box, S. (2010) Determining rail network accessibility At 5th IMA Conference on Mathematics in Transport, United Kingdom. 12 - 14 Apr 2010.

Record type: Conference or Workshop Item (Paper)


The usual representation of optimal path finding problems within transport networks is focused on well established algorithms for identifying the optimal path (or set of paths) between two specific network nodes. When the required solution is the identification of the optimal route between every possible pair of nodes in the network however, these algorithms are inefficient.
The Floyd-Warshall algorithm provides an efficient way to compare all possible paths through each pair of nodes more efficiently, requiring only N3 comparisons for a network of N nodes. To illustrate the potential of this approach to network analysis within transport research, this paper considers the issue of determining accessibility between railway stations (on the route between Weymouth and London Waterloo) served by a mixture of high-speed and stopping services.
A rail network is physically defined by the locations of tracks, but travel times are also dependent on whether stations are visited by high-speed services as well as stopping services. A single rail route therefore has to be represented not as a (topologically) straight line, but as a more traditional graph with high connectivity between nodes. Reformulating this into a matrix-based definition allows the Floyd-Warshall algorithm to efficiently determine the optimal routing (and hence travel times) between

PDF 2010_[27]_Rail_IMA.pdf - Accepted Manuscript
Download (531kB)

More information

Published date: April 2010
Venue - Dates: 5th IMA Conference on Mathematics in Transport, United Kingdom, 2010-04-12 - 2010-04-14


Local EPrints ID: 74657
PURE UUID: b62b100b-5f0a-4e24-ab2f-9d2796e90bc1
ORCID for B.J. Waterson: ORCID iD

Catalogue record

Date deposited: 11 Mar 2010
Last modified: 18 Jul 2017 23:45

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.