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A GRASP-based scheme for the set covering problem

Author

Listed:
  • Victor Reyes

    (Pontificia Universidad Católica de Valparaíso)

  • Ignacio Araya

    (Pontificia Universidad Católica de Valparaíso)

Abstract

In this work we present a greedy randomized adaptive search procedure (GRASP)-based strategy for the set covering problem. The goal of this problem is to find a subset of columns from a zero-one matrix in order to cover all the rows with the minimal possible cost. The GRASP is a technique that through a sequential and finite number of steps constructs a solution using a set of simple randomized rules. Additionally, we also propose an iterated local search and reward/penalty procedures in order to improve the solutions found by the GRASP. Our approach has been tested using the well-known 65 non-unicost SCP benchmark instances from OR-library showing promising results.

Suggested Citation

  • Victor Reyes & Ignacio Araya, 2021. "A GRASP-based scheme for the set covering problem," Operational Research, Springer, vol. 21(4), pages 2391-2408, December.
    • Handle: RePEc:spr:operea:v:21:y:2021:i:4:d:10.1007_s12351-019-00514-z
    DOI: 10.1007/s12351-019-00514-z
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    References listed on IDEAS

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