EDP Sciences Journals List
Home Document
Subscriber Authentication Point
Issue RAIRO Oper. Res.
Volume 36, Number 1, January-March 2002
Page(s) 1 - 19
DOI 10.1051/ro:2002002



RAIRO Oper. Res. 36 (2002) 1-19
DOI: 10.1051/ro:2002002

The Maximum Capacity Shortest Path Problem: Generation of Efficient Solution Sets

T. Brian Boffey1, R.C. Williams2, B. Pelegrín3 and P. Fernandez3

1  University of Liverpool, Liverpool L69 7ZL, U.K.
2  University of Abertay, Dundee, U.K.
3  University of Murcia, Murcia, Spain.

(Received August, 1997.)

Abstract
Individual items of flow in a telecommunications or a transportation network may need to be separated by a minimum distance or time, called a "headway". If link dependent, such restrictions in general have the effect that the minimum time path for a "convoy" of items to travel from a given origin to a given destination will depend on the size of the convoy. The Quickest Path problem seeks a path to minimise this convoy travel time. A closely related bicriterion problem is the Maximum Capacity Shortest Path problem. For this latter problem, an effective implementation is devised for an algorithm to determine desired sets of efficient solutions which in turn facilitates the search for a "best" compromise solution. Numerical experience with the algorithm is reported.


Mathematics Subject Classification. 90B10, 90B18.

Key words: Quickest path, shortest path, path capacity, efficient solution.


© EDP Sciences 2002


What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.