Entropy Models of Trip Distribution
Publication: Journal of Urban Planning and Development
Volume 132, Issue 1
Abstract
Entropy maximization approach has been widely used in transportation planning. It provides theoretical basis for a class of forecast models on traffic demand. In this paper, the concept of entropy from information theory is borrowed to describe inhabitant trip distribution and then a trip distribution model is presented under constraints of typical characteristics based on origin moments. The model is characteristic of generality. The concrete form of the model depends on the order of the highest origin moment which has a great impact on the precision of the model and the labor of parameters calibration. The paper expatiates on this situation and puts forward an iteration method to ascertain the parameters in the model. And then, an entropy method is given to compare the difference of the models for selection. The application of the models and the methods is illustrated via 2001 trip data from the city of Changchun, China.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This paper is supported by the projects Nos. (70071039 and 20010114). Here the writers acknowledge the National Natural Science Foundation of ChinaNNSFC and the Science and Technology Department of Jilin Province.
References
Chang, E., Ziliaskopoulos, A., Boyce, D., and Waller, S. T. (2001). “Solution algorithm for the combined interregional commodity flow and transportation network model with link capacity constraints.” Paper presented at the 2001 Annual Meeting of the Transportation Research Board, Washington, D.C. (CD-Rom).
Elmi, A. M., Badoe, D. A., and Miller, E. J. (1999). “Transferability analysis of work-trip distribution models.” Paper presented at the 1999 Annual Meeting of the Transportation Research Board, Washington, D.C., (CD-Rom).
Haken, H. (1984). Synergetics, Beijing, China.
Haken, H. (1988). Information and self-organization, Chengdu.
Hallefjord, Å., and Jörnsten, K. (1984). “Gravity models with multiple objectives—theory and applications.” Transp. Res., Part B: Methodol., 20, 19–39.
Li, Y., Ziliaskopoulos, T., and Boyce, D. (2002). “A combined model for time-dependent trip distribution and traffic assignment.” Paper presented at the 2002 Annual Meeting of the Transportation Research Board, Washington, D.C. (CD-Rom).
List, G. F., Konieczny, L. A., and Durnford, C. L. (2002). “A best practice truck flow estimation model for the New York City region.” Paper presented at the 2002 Annual Meeting of the Transportation Research Board, Washington, D.C. (CD-Rom).
Murchland, J. D. (1966). “Some remarks on the gravity model of traffic distribution and equivalent maximizing formulation.” Rep. No. LSE-TNT-38.
Potts, R. B., and Oliver, R. M. (1972). Flows in transportation networks, Academic, New York.
Proakis, J. G. (2001). Digital communications, Beijing.
Qu, Z. W., Yao, R. H., and Wang, D. H. (2003). “Inhabitant trip distribution model based on maximum information entropy theory.” Journal of Jilin University (Engineering and Technology Edition), 15–19.
Spiess, H. (1987). “A maximum likelihood model for estimating origin-destination matrices.” Transp. Res., Part B: Methodol., 21, 395–412.
Van Zuylen, H. J., and Willumsen, L. G. (1980). “The most likely trip matrix estimated from traffic counts.” Transp. Res., Part B: Methodol., 14, 281–293.
Vovsha, P. (1999). “Comparative analysis of different spatial interaction models.” Paper presented at the 1999 Annual Meeting of the Transportation Research Board, Washington, D.C. (CD-Rom).
Willumsen, L. G. (1990). Modelling transport, Wiley, New York.
Wilson, A. G. (1967). “A statistical theory of spatial distribution models.” Transportation Research, 1, 253–2699.
Wilson, A. G. (1970a). Entropy in urban and regional modelling, Pion, London.
Wilson, A. G. (1970b). “The use of the concept of entropy in system modelling.” Oper. Res. Q., 21, 247–265.
Wilson, A. G. (1974). Urban and regional models in geography and planning, Wiley, London.
Yu, N., and Lee, D. H. (2002). “An uncoupled method for the equilibrium-based linear path flow estimator for origin-destination trip matrices.” Paper presented at the 2002 Annual Meeting of the Transportation Research Board, Washington, D.C. (CD-Rom).
Information & Authors
Information
Published In
Journal of Urban Planning and Development
Volume 132 • Issue 1 • March 2006
Pages: 29 - 35
Copyright
© 2006 ASCE.
History
Received: Jul 11, 2003
Accepted: Dec 1, 2004
Published online: Mar 1, 2006
Published in print: Mar 2006
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.