Combined Modal Split and Stochastic Assignment Model for Congested Networks with Motorized and Nonmotorized Transport Modes
Abstract
A network equilibrium model is proposed for the simultaneous prediction of mode choice and route choice in congested networks with motorized and nonmotorized transport modes. In Hong Kong, motorized and nonmotorized modes are competing travel alternatives, as the average trip length is relatively short because of high-density development in urban areas. In addition, nonmotorized modes such as walking usually serve as complements to motorized trips. For example, transit passengers have to walk to gain access to and egress from transit stops. Here, the transit and walking modes are representatives of motorized and nonmotorized transport modes, respectively. The fundamental congestion effects of each mode and intermodal interactions are taken into account in the simultaneous mode and route choice problem. An equivalent variational inequality (VI) problem is formulated to capture all the components of the proposed model in an integrated framework. A solution algorithm is presented for solving the VI problem. A numerical example is used to illustrate the application of the proposed model and solution algorithm. More refined estimates of travel times and network flows can be obtained with the proposed model.
Get full access to this article
View all access and purchase options for this article.
References
1. Florian M., and Nguyen S. A Combined Trip Distribution, Modal Split and Trip Assignment Model. Transportation Research, Vol. 12, No. 4, 1978, pp. 241–246.
2. Safwat K. N. A., and Magnanti T. L. A Combined Trip Generation, Trip Distribution, Modal Split, and Trip Assignment Model. Transportation Science, Vol. 18, No. 1, 1988, pp. 14–30.
3. Lam W. H. K., and Huang H. J. A Combined Trip Distribution and Assignment Model for Multiple User Classes. Transportation Research B, Vol. 26, No. 4, 1992, pp. 275–287.
4. Abrahamsson T., and Lundqvist L. Formulation and Estimation of Combined Network Equilibrium Models with Applications to Stockholm. Transportation Science, Vol. 33, No. 1, 1999, pp. 80–100.
5. Florian M., Wu J. H., and He S. A Multi-Class Multi-Mode Variable Demand Network Equilibrium Model with Hierarchical Logit Structures. Transportation Planning Methods: Proc., Seminar C, PTRC Transport and Planning Summer Annual Meeting, University of Sussex, England, Sept. 11–15, 1999, No. 441, pp. 211–224.
6. Dafermos S. The General Multimodal Network Equilibrium Problem with Elastic Demand. Networks, Vol. 12, No. 1, 1982, pp. 57–72.
7. Bar-Gera H., and Boyce D. Origin-Based Algorithms for Combined Travel Forecasting Models. Transportation Research B, Vol. 37, No. 5, 2003, pp. 405–422.
8. Patriksson M. The Traffic Assignment Problem—Models and Methods. VSP, Utrecht, Netherlands, 1994.
9. De Cea J., and Fernández E. Transit Assignment for Congested Public Transport Systems: An Equilibrium Model. Transportation Science, Vol. 27, No. 2, 1993, pp. 133–147.
10. Ortúzar J. de D., and Willumsen L. G. Modelling Transport. John Wiley and Sons, New York, 2001.
11. Dafermos S. Traffic Equilibrium and Variational Inequalities. Transportation Science, Vol. 14, No. 1, 1980, pp. 42–54.
12. 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 B, Vol. 33, No. 5, 1999, pp. 351–368.
13. Cheung C. Y., and Lam W. H. K. Pedestrian Route Choices Between Escalator and Stairway in MTR Stations. Journal of Transportation Engineering, Vol. 124, No. 3, 1998, pp. 277–285.
14. Cheung C. Y., and Lam W. H. K. A Study of the Bidirectional Pedestrian Flow Characteristics in the Hong Kong Mass Transit Railway Stations. Journal of the Eastern Asia Society for Transportation Studies, Vol. 2, 1997, pp. 1607–1619.
15. Lam W. H. K., Lee J. Y. S., and Cheung C. Y. A Study of the Bidirectional Pedestrian Flow Characteristics at Hong Kong Signalized Crosswalk Facilities. Transportation, Vol. 29, No. 2, 2002, pp. 169–192.
16. Patriksson M. Nonlinear Programming and Variational Inequality Problems: A Unified Approach. Kluwer Academic Publishers, Dordrecht, Netherlands, 1999.
17. Lo H. K., and Chen A. Reformulating the General Traffic Equilibrium Problem Via a Smooth Gap Function. Mathematical and Computer Modeling, Vol. 31, 2000, pp. 179–195.
18. Bell M. G. H., Lam W. H. K., Ploss G., and Inaudi D. Stochastic User Equilibrium Assignment and Iteration Balancing. Transportation and Traffic Theory, Proc., 12th International Symposium on the Theory of Traffic Flow and Transportation, Elsevier, Amsterdam, Netherlands, 1993, pp. 427–439.
19. Damberg O., Lundgren J. T., and Patriksson M. An Algorithm for the Stochastic User Equilibrium Problem. Transportation Research B, Vol. 30, No. 2, 1996, pp. 115–131.
20. Lundgren J. T., and Patriksson M. The Combined Distribution and Stochastic Assignment Problem. Annals of Operations Research, Vol. 82, 1998, pp. 309–329.
21. Sheffi Y., and Daganzo C. F. Computation of Equilibrium over Transportation Networks: The Case of Disaggregated Demand Models. Transportation Sciences, Vol. 14, No. 2, 1980, pp. 155–173.
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 2003
Issue published: January 2003
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: 55
*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: 29
- Modeling link capacity constraints with physical queuing and toll in t...
- Integrated Transit-Oriented Development (TOD) with suburban rail netwo...
- A Traffic Equilibrium Model for Multi-Modal Networks with Uncertain De...
- Multi-modal traffic flow assignment in hypergraph network
- A link-node-based complementarity model for traffic equilibrium with r...
- Modeling Network Capacity for Urban Multimodal Transportation Applicat...
- Large-scale multimodal transportation network models and algorithms-Pa...
- Impact of connected and autonomous vehicle technology on market penetr...
- A mixed-equilibrium model of individual and household activity–travel ...
- A Two-Phase Gradient Projection Algorithm for Solving the Combined Mod...
- Mode Choice Change under Environmental Constraints in the Combined Mod...
- A multi-modal network equilibrium model with captive mode choice and p...
- A Traffic Assignment Approach for Multi-Modal Transportation Networks ...
- A dynamic pricing scheme with negative prices in dockless bike sharing...
- Combined multinomial logit modal split and paired combinatorial logit ...
- Implementation of a new network equilibrium model of travel choices
- Alternate weibit-based model for assessing green transport systems wit...
- A trip-chain-based combined mode and route-choice network equilibrium ...
- Modeling Mode and Route Similarities in Network Equilibrium Problem wi...
- Applications and Future Developments: Modelling the Diversity and Inte...
- Elastic demand with weibit stochastic user equilibrium flows and appli...
- Computing and Analyzing Mixed Equilibrium Network Flows with Gasoline ...
- COMBINED MODAL SPLIT AND ASSIGNMENT MODEL FOR THE MULTIMODAL TRANSPORT...
- Efficiency and Equity Comparison of Urban Road Space Reallocation Sche...
- Multi-class Multi-modal Network Equilibrium with Regular Choice Behavi...
- A Simulation-Based Dynamic Intermodal Network Equilibrium Algorithm
- Network equilibrium for congested multi‐mode networks with elastic dem...
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.
