Common-Lines and Passenger Assignment in Congested Transit Networks

Roberto Cominetti and José Correa
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Roberto Cominetti: Universidad de Chile, Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (UMR 2071 UCHILE-CNRS), Casilla 170/3 Correo 3, Santiago, Chile
José Correa: Universidad de Chile, Departamento de Ingeniería Matemàtica and Centro de Modelamiento Matemàtico (UMR 2071 UCHILE-CNRS), Casilla 170/3 Correo 3, Santiago, Chile

Transportation Science, 2001, vol. 35, issue 3, 250-267

Abstract: We analyze a Wardrop equilibrium model for passenger assignment in general transit networks, including the effects of congestion over the passengers' choices. The model is based on the common-line paradigm, which is applied to general networks using a dynamic programming approach. Congestion is treated by means of a simplified bulk queue model described in the appendix. We provide a complete characterization of the set of equilibria in the common-line setting, including the conditions for existence and uniqueness. This characterization reveals the existence of ranges of flow in which a Braess-like paradox appears, and in which a flow increase does not affect the system performance as measured by transit times. The congested common-line model is used to state an equilibrium model for general transit networks, and to establish the existence of a network equilibrium.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:35:y:2001:i:3:p:250-267

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