On the complexity of the continuous unbounded knapsack problem with uncertain coefficients

  • Authors:
  • Eduardo Conde

  • Affiliations:
  • Facultad de Matemáticas, Universidad de Sevilla, C/Tarfia S/N, 41012 Sevilla, Spain

  • Venue:
  • Operations Research Letters
  • Year:
  • 2005

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Abstract

In this paper, a linear-time algorithm is developed for the minmax-regret version of the continuous unbounded knapsack problem with n items and uncertain objective function coefficients, where the interval estimates for these coefficients are known. This improves the previously known bound of O(nlog(n)) time for this optimization problem.