Discrete-Time Dynamic User-Optimal Departure Time/Route Choice Model
Publication: Journal of Transportation Engineering
Volume 124, Issue 3
Abstract
This paper concerns a discrete-time, link-based, dynamic user-optimal departure time/route choice model using the variational inequality approach. The model complies with a dynamic user-optimal equilibrium condition in which for each origin-destination pair, the actual route travel times experienced by travelers, regardless the departure time, is equal and minimal. A nested diagonalization procedure is proposed to solve the model. Numerical examples are then provided for demonstration and detailed elaboration for multiple solutions and Braess's paradox.
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References
1.
Friesz, T. L., Bernstein, D., Smith, T. E., Tobin, R. L., and Wie, B. W.(1993). “A variational inequality formulation of the dynamic network user equilibrium problem.”Operations Res., 41, 179–191.
2.
Janson, B. N. (1991). “Dynamic route choice for urban road networks.”Transp. Sci., 25(B), 143–161.
3.
Janson, B. N. (1993). “Dynamic traffic assignment with arrival time costs.”Proc. 12th Int. Symp. on Transp. and Traffic Theory, Elsevier Science Publishers, Amsterdam, The Netherlands, 127–146.
4.
Ran, B., and Boyce, D. E. (1994). “Dynamic urban transportation network models: theory and implications for intelligent vehicle highway systems.”Lecture Notes in Economics and Mathematical Systems 417. Springer-Verlag, Inc. New York, N.Y.
5.
Ran, B., and Boyce, D. E. (1996). Modeling dynamic transportation networks: an intelligent transportation system oriented approach, 2nd Revised Ed., Springer Publishing Co., Inc. New York, N.Y.
6.
Sheffi, Y. (1985). Urban transportation networks: equilibrium analysis with mathematical programming methods. Prentice-Hall, Inc., Englewood Cliffs, N.J.
7.
Smith, M. J., and Ghali, M. (1990). “The dynamics of route choice and traffic control: a theoretical study.”Transp. Res., 24(B), 409–422.
Information & Authors
Information
Published In
Journal of Transportation Engineering
Volume 124 • Issue 3 • May 1998
Pages: 246 - 254
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: May 1, 1998
Published in print: May 1998
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