Optimization Letters

, Volume 3, Issue 3, pp 347–355 | Cite as

Bilinear modeling solution approach for fixed charge network flow problems

  • Steffen RebennackEmail author
  • Artyom Nahapetyan
  • Panos M. Pardalos
Original Paper


We present a continuous, bilinear formulation for the fixed charge network flow problem. This formulation is used to derive an exact algorithm for the fixed charge network flow problem converging in a finite number of steps. Some preliminary computational experiments are reported to show the performance of the algorithm.


Bilinear modeling Fixed charge network flow problem Exact formulation Concave minimization 


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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Steffen Rebennack
    • 1
    Email author
  • Artyom Nahapetyan
    • 2
  • Panos M. Pardalos
    • 1
  1. 1.Department of Industrial and Systems Engineering, Center for Applied OptimizationUniversity of FloridaGainesvilleUSA
  2. 2.Innovative Scheduling Inc.Gainesville Technology Enterprise Center (GTEC)GainesvilleUSA

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