Abstract
Fixed demand traffic network equilibrium problems, in contrast to elastic demand traffic network equilibrium problems, which were the topic of Chapter 7, assume that there is a fixed and known travel demand associated with traveling between each origin/destination (0/D) pair in the network.
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References
Beckmann, M. J., McGuire, C. B., and Winsten, C. B. Studies in the Economics of Transportation, Yale University Press, New Haven, Connecticut, 1956.
Braess, D., “Uber ein paradoxon der verkehrsplanung,” Unternehmen-forschung 12 (1968) 258–268.
Dafermos, S., “Traffic equilibrium and variational inequalities,” Transportation Science 14 (1980) 42–54.
Dafermos, S., and Sparrow, F. T., “The traffic assignment problem for a general network,” Journal of Research of the National Bureau of Standards 73B (1969) 91–118.
Nagurney, A., “Comparative tests of multimodal traffic equilibrium methods,” Transportation Research 18B (1984) 469–485.
Nagurney, A., Network Economics: A Variational Inequality Approach, Kluwer Academic Publishers, Boston, Massachusetts 1993.
Nagurney, A., and Zhang, D., “Projected dynamical systems in the formulation, stability analysis, and computation of fixed demand traffic network equilibria,” School of Management, University of Massachusetts, Amherst, Massachusetts, 01003, 1995.
Smith, M.J., “Existence, uniqueness and stability of traffic equilibria,” Transportation Research 13B (1979) 259–304.
Wardrop, J. G., “Some theoretical aspects of road traffic research,” in Proceedings of the Institute of Civil Engineers, Part II, pp. 325–378, 1952.
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© 1996 Springer Science+Business Media New York
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Nagurney, A., Zhang, D. (1996). Fixed Demand Traffic Equilibrium. In: Projected Dynamical Systems and Variational Inequalities with Applications. International Series in Operations Research & Management Science, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2301-7_8
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DOI: https://doi.org/10.1007/978-1-4615-2301-7_8
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