Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 181, Issue 1, Pages 305-314Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2006.05.028
Keywords
transit network; generalized nash equilibrium game; equilibrium
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The urban public transport system is portrayed as a special commodity market where passenger is consumer, transit operator is producer and the special goods is the service for passenger's trip. The generalized Nash equilibrium game is applied to describe how passengers adjust their route choices and trip modes. We present a market equilibrium model for urban public transport system as a series of mathematical programmings and equations, which is to describe both the competitions among different transit operators and the interactive influences among passengers. The proposed model can simultaneously predict how passengers choose their optimal routes and trip modes. An algorithm is designed to obtain the equilibrium solution. Finally, a simple numerical example is given and some conclusions are drawn. (c) 2006 Elsevier B.V. All rights reserved.
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