Study on Optimal Frequency Design Problem for Multimodal Network Using Probit-Based User Equilibrium Assignment
Abstract
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.
Get full access to this article
View all access and purchase options for this article.
References
1. Connors R. D. Sumalee A. and Watling D. P. Variable Demand Probit-Based Network Design Problem: Implicit Programming Approach. Proc., 10th World Conference on Transport Research, Istanbul, Turkey, 2004 (CD-ROM).
2. Dial R. B. Transit Pathfinder Algorithm. In Highway Research Record 205, HRB, National Research Council, Washington, D.C., 1967, pp. 67–85.
3. Fearnside K. and Draper D. P. Public Transport Assignment—A New Approach. Traffic Engineering Control, 1967, pp. 298–299.
4. Rapp M. H. Mattenberger P. Piguet S. and Robert-Grandpierre A. Interactive Graphics System for Transit Route Optimization. In Transportation Research Record 559, TRB, National Research Council, Washington, D.C., 1976, pp. 73–88.
5. Chriqui C. and Robillard P. Common Bus Lines. Transportation Science, Vol. 9, 1975, pp. 115–121.
6. Spiess H. On Optimal Route Choice Strategies in Transit Networks. Publication 286. Centre de Recherche sur les Transports, University of Montreal, Canada, 1983.
7. Spiess H. and Florian M. Optimal Strategies: A New Assignment Model for Transit Networks. Transportation Research Part B, Vol. 23, 1989, pp. 83–102.
8. De Cea J. and Fernandez E. Transit Assignment for Congested Public Transport System: An Equilibrium Model. Transportation Science, Vol. 27, 1993, pp. 133–147.
9. Wu J. H. Florian M. and Marcotte P. Transit Equilibrium Assignment: A Model and Solution Algorithms. Transportation Science, Vol. 28, 1994, pp. 193–203.
10. Lam W. H. K. Gao Z. Y. Chan K. S. and Yang H. A Stochastic User Equilibrium Assignment Model for Congested Transit Networks. Transportation Research Part B, Vol. 33, 1999, pp. 351–368.
11. Nielsen O. A. A Stochastic Transit Assignment Model Considering Differences in Passenger Utility Functions. Transportation Research Part B, Vol. 34, 2000, pp. 377–402.
12. Fernandez E. De Cea J. Florian M. and Cabrera E. Network Equilibrium Models with Combined Modes. Transportation Science, Vol. 28, 1994, pp. 182–192.
13. Lo H. K. Yip C. W. and Wan K. H. Modeling Transfer and Non-linear Fare Structure in Multi-modal Network. Transportation Research Part B, Vol. 37, 2003, pp. 149–170.
14. Gao Z. Y. Sun H. and Shan L. L. A Continuous Equilibrium Network Design Model and Algorithm for Transit Systems. Transportation Research Part B, Vol. 38, 2004, pp. 235–250.
15. Wardrop J. G. Some Theoretical Aspects of Road Traffic Research. Proceedings of the Institute of Civil Engineers, Part II, 1952, pp. 325–378.
16. Daganzo C. F. and Sheffi Y. On Stochastic Models of Traffic Assignment. Transportation Science, Vol. 11, 1977, pp. 253–274.
17. Clark S. D. and Watling D. P. Sensitivity Analysis of the Probit-Based Stochastic User Equilibrium Assignment Model. Transportation Research Part B, Vol. 36, 2002, pp. 617–635.
18. Bell M. and Iida Y. Transportation Network Analysis. John Wiley & Sons, Chichester, United Kingdom, 1997.
19. Daganzo C. Multinomial Probit: The Theory and Its Application to Demand Forecasting. Academic Press, New York, 1979.
Cite article
Cite article
Cite article
OR
Download to reference manager
If you have citation software installed, you can download article citation data to the citation manager of your choice
Information, rights and permissions
Information
Published In
Article first published: January 2005
Issue published: January 2005
Authors
Metrics and citations
Metrics
Journals metrics
This article was published in Transportation Research Record: Journal of the Transportation Research Board.
VIEW ALL JOURNAL METRICSArticle usage*
Total views and downloads: 54
*Article usage tracking started in December 2016
Altmetric
See the impact this article is making through the number of times it’s been read, and the Altmetric Score.
Learn more about the Altmetric Scores
Articles citing this one
Receive email alerts when this article is cited
Web of Science: 0
Crossref: 8
- Multimodal urban mobility and multilayer transport networks
- Transit Frequency Optimization in Bi-modal Networks Using Differential...
- Transit Network Frequency Setting With Multi-Agent Simulation to Captu...
- Analysis of Bus Fare Structure to Observe Modal Shift, Operator Profit...
- Long-term planning for ring-radial urban rail transit networks
- An activity-based approach for scheduling multimodal transit services
- The Optimal Transit Fare Structure under Different Market Regimes with...
- Development of Life-Cycle Cost Evaluation Model for Pavements consider...
Figures and tables
Figures & Media
Tables
View Options
Get access
Access options
If you have access to journal content via a personal subscription, university, library, employer or society, select from the options below:
loading institutional access options
Alternatively, view purchase options below:
Purchase 24 hour online access to view and download content.
Access journal content via a DeepDyve subscription or find out more about this option.
