Approximation Algorithms for Degree-Constrained Bipartite Network Flow

  • Elif Akçalı
  • Alper Üngör
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2869)


We consider a tool- and setup-constrained short-term capacity allocation problem that arises in operational level planning at a semiconductor wafer fabrication facility. We formulate this problem as a degree-constrained network flow problem on a bipartite graph. We show that the problem is NP-hard and propose the first constant factor (1/2) approximation algorithms. Experimental study demonstrates that, in practice, our algorithms give solutions that are on the average less than 1.5% away from the optimal solution in less than a second.


Approximation algorithms network flows scheduling capacity allocation 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Elif Akçalı
    • 1
  • Alper Üngör
    • 2
  1. 1.Department of Industrial & Systems EngineeringUniversity of FloridaGainesvilleUSA
  2. 2.Department of Computer ScienceDuke UniversityDurhamUSA

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