Steinberg, Richard and Stone, Richard E. (1988) The prevalence of paradoxes in transportation equilibrium problems. Transportation science, 22 (4). pp. 231-241. ISSN 0041-1655
Abstract
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: | http://www.informs.org/site/TranSci/ |
| Additional Information: | © 1988 INFORMS |
| Library of Congress subject classification: | H Social Sciences > HE Transportation and Communications |
| Sets: | Research centres and groups > Management Science Group Departments > Management |
| Rights: | http://www.lse.ac.uk/library/rights/LSERO.htm |
| URL: | http://eprints.lse.ac.uk/23584/ |
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