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Stable flows in transportation networks

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  • NESTEROV, Yurii

    (University of Bergamo, Italy and Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Belgium)

Abstract

In this paper we develop a new theory of static equilibrium in congested transportation networks. Our considerations are based on a physical meaning of the flows rather than on an artificially chosen model of travel time functions. We introduce a concept of the stable equilibrium and prove the existence theorems.

Suggested Citation

  • NESTEROV, Yurii, 1999. "Stable flows in transportation networks," LIDAM Discussion Papers CORE 1999007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1999007
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1999.html
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    References listed on IDEAS

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    1. Stella Dafermos, 1980. "Traffic Equilibrium and Variational Inequalities," Transportation Science, INFORMS, vol. 14(1), pages 42-54, February.
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    Cited by:

    1. NESTEROV, Yu & de PALMA, André, 2000. "Stable dynamics in transportation systems," LIDAM Discussion Papers CORE 2000027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. NESTEROV, Yu., 2003. "Characteristic functions of directed graphs and applications to stochastic equilibrium problems," LIDAM Discussion Papers CORE 2003013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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