An efficient parallel algorithm for solving the Knapsack problem on hypercubes

  • Authors:
  • A. Goldman;D. Trystram

  • Affiliations:
  • ID - IMAG, 51 Rue Jean Kuntzman, 38330 Montbonnot St. Martin, France;ID - IMAG, 51 Rue Jean Kuntzman, 38330 Montbonnot St. Martin, France

  • Venue:
  • Journal of Parallel and Distributed Computing
  • Year:
  • 2004

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Abstract

We present in this paper an efficient algorithm for solving the integral Knapsack problem on hypercube. The main idea is to represent the computations of the dynamic programming formulation as a precedence graph (which has the structure of an irregular mesh). Then, we propose a time optimal scheduling algorithm for computing the irregular meshes on hypercube.