Maximum Throughput Network Routing Subject to Fair Flow Allocation

  • Edoardo Amaldi
  • Stefano Coniglio
  • Leonardo Taccari
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8596)

Abstract

We investigate a bilevel network routing problem where, given a directed graph with a capacity for each arc and a set of elastic traffic demands specified by the corresponding origin-destination pairs, the network operator has to select a single path for each pair so as to maximize the total throughput while assuming that the flows are allocated over the chosen paths according to a fairness principle. We consider max-min fair flow allocation as well as maximum bottleneck flow allocation. After presenting a complexity result, we discuss MILP formulations for the two problem versions, describe a Branch-and-Price algorithm and report some computational results.

Keywords

Networks Routing Fairness Computational complexity Integer programming 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Edoardo Amaldi
    • 1
  • Stefano Coniglio
    • 2
  • Leonardo Taccari
    • 1
  1. 1.Dipartimento di Elettronica, Informazione e BioingegneriaPolitecnico di MilanoMilanItaly
  2. 2.Lehrstuhl II Für MathematikRWTH Aachen UniversityAachenGermany

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