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The prevalence of Braess' paradox

Steinberg, Richard and Zangwill, Willard I. (1983) The prevalence of Braess' paradox. Transportation Science, 17 (3). pp. 301-318. ISSN 0041-1655

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Identification Number: 10.1287/trsc.17.3.301


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:
Additional Information: © 1983 INFORMS
Divisions: Management
Subjects: H Social Sciences > HE Transportation and Communications
Date Deposited: 07 Apr 2009 16:11
Last Modified: 17 Feb 2021 10:54

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