Study on Optimal Frequency Design Problem for Multimodal Network Using Probit-Based User Equilibrium Assignment

In this paper, a probit-based multimodal transport assignment model is developed. Three transport modes (railway system, bus system, and automobiles) and their interactions are considered. The walking time to a bus stop or a station also plays an important role in multimodal networks. Thus, walking to a bus stop or to a railway station is included in the model. The factors affecting travelers' route choices considered in this model include actual travel times, discomfort effects on transit systems, expected waiting times, fares, and constants specific to transport modes. A route in the model may be composed of different modes. The paper also deals with the optimal transit frequency design problem. The frequency design problem is formulated as an implicit program in which the objective function of total disutility in the multimodal network is minimized with respect to frequencies of transit lines. The flows on a multimodal network follow a probit-based stochastic user equilibrium assignment. A numerical example is presented.

[1]  Huijun Sun,et al.  A continuous equilibrium network design model and algorithm for transit systems , 2004 .

[2]  Michael Florian,et al.  Network Equilibrium Models with Combined Modes , 1994, Transp. Sci..

[3]  Enrique Fernández,et al.  Transit Assignment for Congested Public Transport Systems: An Equilibrium Model , 1993, Transp. Sci..

[4]  Stephen D. Clark,et al.  Sensitivity analysis of the probit-based stochastic user equilibrium assignment model , 2002 .

[5]  Hai Yang,et al.  A stochastic user equilibrium assignment model for congested transit networks , 1999 .

[6]  Hong Kam Lo,et al.  Modeling transfer and non-linear fare structure in multi-modal network , 2003 .

[7]  Otto Anker Nielsen,et al.  A Stochastic Traffic Assignment Model Considering Differences in Passengers Utility Functions , 2000 .

[8]  Y Iida,et al.  Transportation Network Analysis , 1997 .

[9]  Jia Hao Wu,et al.  Transit Equilibrium Assignment: A Model and Solution Algorithms , 1994, Transp. Sci..

[10]  Michael Florian,et al.  Optimal strategies: A new assignment model for transit networks , 1989 .

[11]  P. Robillard,et al.  Common Bus Lines , 1975 .

[12]  J. Wardrop.  ROAD PAPER. SOME THEORETICAL ASPECTS OF ROAD TRAFFIC RESEARCH. , 1952 .

[13]  Carlos F. Daganzo,et al.  Multinomial Probit: The Theory and its Application to Demand Forecasting. , 1980 .

[14]  Carlos F. Daganzo,et al.  On Stochastic Models of Traffic Assignment , 1977 .

[15]  Robert B Dial,et al.  TRANSIT PATHFINDER ALGORITHM , 1967 .

[16]  J. G. Wardrop,et al.  Some Theoretical Aspects of Road Traffic Research , 1952 .

[17]  Matthias H Rapp,et al.  INTERACTIVE GRAPHICS SYSTEM FOR TRANSIT ROUTE OPTIMIZATION , 1976 .

[18]  Michael G.H. Bell,et al.  Transportation Network Analysis: Bell/Transportation Network Analysis , 1997 .