Breakpoint searching algorithms for the continuous quadratic knapsack problem

  • Authors:
  • Krzysztof C. Kiwiel

  • Affiliations:
  • Polish Academy of Sciences, Systems Research Institute, Newelska 6, 01-447, Warsaw, Poland

  • Venue:
  • Mathematical Programming: Series A and B
  • Year:
  • 2007

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Abstract

We give several linear time algorithms for the continuous quadratic knapsack problem. In addition, we report cycling and wrong-convergence examples in a number of existing algorithms, and give encouraging computational results for large-scale problems.