The Partial Choice Recoverable Knapsack Problem

  • Clément Lesaege
  • Michael PossEmail author
Conference paper
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 682)


We study in this paper a variant of the knapsack problem where some of the items can be withdrawn from the knapsack. We show that our problem corresponds to a special case of the recoverable robust knapsack problem. While the complexity of the recoverable robust knapsack problem is still unknown, we propose a dynamic programming algorithm for our problem, proving that it can be solved in pseudo-polynomial time.


Integer Linear Programming Knapsack Problem Dynamic Programming Algorithm Large Instance Shipping Company 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.UMR CNRS 7253 HeudiasycUniversité de Technologie de CompiègneCompiègneFrance
  2. 2.UMR CNRS 5506 LIRMMUniversit de MontpellierMontpellier Cedex 5France

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