Steinberg, Richard and Zangwill, Willard I. (1983) The prevalence of Braess' paradox. Transportation science, 17 (3). pp. 301-318. ISSN 0041-1655
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.
|Additional Information:||© 1983 INFORMS|
|Library of Congress subject classification:||H Social Sciences > HE Transportation and Communications|
|Sets:||Research centres and groups > Management Science Group
Departments > Management
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