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
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.
|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
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