Steinberg, Richard  ORCID: 0000-0001-9636-472X and Zangwill, Willard I. 
  
(1983)
The prevalence of Braess' paradox.
    Transportation Science, 17 (3).
     pp. 301-318.
     ISSN 0041-1655
ORCID: 0000-0001-9636-472X and Zangwill, Willard I. 
  
(1983)
The prevalence of Braess' paradox.
    Transportation Science, 17 (3).
     pp. 301-318.
     ISSN 0041-1655
  
  
  
Abstract
In a noncongested transportation network where each user chooses his quickest route, the creation of an additional route between some origin-destination pair clearly cannot result in an increase in travel time to users traveling between that o-d pair. It seems reasonable to assume the same can be said of congested networks. In 1968, D. Braess presented a remarkable example demonstrating this is not the case: a new route can increase travel time for all. The present paper gives, under reasonable assumptions, necessary and sufficient conditions for "Braess' Paradox" to occur in a general transportation network. As a corollary, we obtain that Braess' Paradox is about as likely to occur as not occur.
| Item Type: | Article | 
|---|---|
| Official URL: | http://www.informs.org/site/TranSci/ | 
| Additional Information: | © 1983 INFORMS | 
| Divisions: | Management | 
| Subjects: | H Social Sciences > HE Transportation and Communications | 
| Date Deposited: | 07 Apr 2009 16:11 | 
| Last Modified: | 11 Sep 2025 05:46 | 
| URI: | http://eprints.lse.ac.uk/id/eprint/23591 | 
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