A capacity restraint transit assignment with elastic line frequency

A capacity restraint transit assignment with elastic line frequency

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Article ID: iaor2004313
Country: United Kingdom
Volume: 36B
Issue: 10
Start Page Number: 919
End Page Number: 938
Publication Date: Dec 2002
Journal: Transportation Research. Part B: Methodological
Authors: , ,
Keywords: programming: network
Abstract:

This paper proposes a new formulation for the capacity restraint transit assignment problem with elastic line frequency, in which the line frequency is related to the passenger flows on transit lines. A stochastic user equilibrium transit assignment model with congestion and elastic line frequency is proposed and the equivalent mathematical programming problem is also formulated. Since the passenger waiting time and the line capacity are dependent on the line frequency, a fixed point problem with respect to the line frequency is devised accordingly. The existence of the fixed point problem has been proved. A solution algorithm for the proposed model is presented. Finally, a numerical example is used to illustrate the application of the proposed model and solution algorithm.

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