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Existence and Uniqueness of Equilibria for Flows over Time

  • Roberto Cominetti
  • José R. Correa
  • Omar Larré
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6756)

Abstract

Network flows that vary over time arise naturally when modeling rapidly evolving systems such as the Internet. In this paper, we continue the study of equilibria for flows over time in the single-source single-sink deterministic queuing model proposed by Koch and Skutella. We give a constructive proof for the existence and uniqueness of equilibria for the case of a piecewise constant inflow rate, through a detailed analysis of the static flows obtained as derivatives of a dynamic equilibrium.

Keywords

Flows Over Time Network Equilibrium 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Roberto Cominetti
    • 1
  • José R. Correa
    • 1
  • Omar Larré
    • 1
  1. 1.Department of Industrial EngineeringUniversidad de ChileSantiagoChile

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