Recoverable Robust Knapsacks: Γ-Scenarios

  • Christina Büsing
  • Arie M. C. A. Koster
  • Manuel Kutschka
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6701)

Abstract

In this paper, we investigate the recoverable robust knapsack problem, where the uncertainty of the item weights follows the approach of Bertsimas and Sim [3, 4]. In contrast to the robust approach, a limited recovery action is allowed, i.e., up to k items may be removed when the actual weights are known. This problem is motivated by the assignment of traffic nodes to antennas in wireless network planning. Starting from an exponential min-max optimization model, we derive an integer linear programming formulation of quadratic size. In a preliminary computational study, we evaluate the gain of recovery using realistic planning data.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Christina Büsing
    • 1
  • Arie M. C. A. Koster
    • 2
  • Manuel Kutschka
    • 2
  1. 1.Institut für MathematikTechnische Universität BerlinBerlinGermany
  2. 2.Lehrstuhl II für MathematikRWTH Aachen UniversityAachenGermany

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