A transformation of hard (equality constrained) knapsack problems into constrained shortest path problems

  • Authors:
  • Michel Minoux;Celso Ribeiro

  • Affiliations:
  • Centre National d'Études des Télécommunications, CNET-PAA/TIM/MTI, Issy-les-Moulineaux, 92131, France;Department of Electrical Engineering, Catholic University of Rio de Janeiro, Caixa Postal 38063, Gávea, Rio de Janeiro, 22452, Brazil

  • Venue:
  • Operations Research Letters
  • Year:
  • 1984

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Abstract

The purpose of this paper is to show how hard (equality constrained) knapsack problems may be converted into constrained shortest path problems. Several directions along which such a transformation might be exploited for algorithmic purposes are suggested.