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The prevalence of paradoxes in transportation equilibrium problems

Steinberg, Richard ORCID: 0000-0001-9636-472X and Stone, Richard E. (1988) The prevalence of paradoxes in transportation equilibrium problems. Transportation Science, 22 (4). pp. 231-241. ISSN 0041-1655

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Identification Number: 10.1287/trsc.22.4.231


Consider a congested transportation network, where the cost along each arc is affine, i.e., consists of a fixed cost plus a variable cost proportional to the flow. We present a new paradox demonstrating that, in a congested transportation network, a sufficiently high increase in the congestion effect along a route can result in the abandonment of a different route having the same origin and destination while the original route continues to be used. We also present a method for testing whether or not the paradox will occur in an arbitrary transportation network by viewing the question as a parametric linear complementarity problem. The new paradox is contrasted with Braess' paradox, and intuition is developed to explain the prevalence of such paradoxes in transportation equilibrium problems.

Item Type: Article
Official URL:
Additional Information: © 1988 INFORMS
Divisions: Management
Subjects: H Social Sciences > HE Transportation and Communications
Date Deposited: 07 Apr 2009 16:09
Last Modified: 02 Jan 2024 21:36

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