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Note: A local‐search heuristic for large set‐covering problems

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  • Larry W. Jacobs
  • Michael J. Brusco

Abstract

In this note we describe a local‐search heuristic (LSH) for large non‐unicost set‐covering problems (SCPs). The new heuristic is based on the simulated annealing algorithm and uses an improvement routine designed to provide low‐cost solutions within a reasonable amount of CPU time. The solution costs associated with the LSH compared very favorably to the best previously published solution costs for 20 large SCPs taken from the literature. In particular, the LSH yielded new benchmark solutions for 17 of the 20 test problems. We also report that, for SCPs where column cost is correlated with column coverage, the new heuristic provides solution costs competitive with previously published results for comparable problems. © 1995 John Wiley & Sons, Inc.

Suggested Citation

  • Larry W. Jacobs & Michael J. Brusco, 1995. "Note: A local‐search heuristic for large set‐covering problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(7), pages 1129-1140, October.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:7:p:1129-1140
    DOI: 10.1002/1520-6750(199510)42:73.0.CO;2-M
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    1. David S. Johnson & Cecilia R. Aragon & Lyle A. McGeoch & Catherine Schevon, 1991. "Optimization by Simulated Annealing: An Experimental Evaluation; Part II, Graph Coloring and Number Partitioning," Operations Research, INFORMS, vol. 39(3), pages 378-406, June.
    2. Venugopal, V. & Narendran, T. T., 1992. "Cell formation in manufacturing systems through simulated annealing: An experimental evaluation," European Journal of Operational Research, Elsevier, vol. 63(3), pages 409-422, December.
    3. David S. Johnson & Cecilia R. Aragon & Lyle A. McGeoch & Catherine Schevon, 1989. "Optimization by Simulated Annealing: An Experimental Evaluation; Part I, Graph Partitioning," Operations Research, INFORMS, vol. 37(6), pages 865-892, December.
    4. Marshall L. Fisher & Moshe B. Rosenwein, 1989. "An interactive optimization system for bulk‐cargo ship scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(1), pages 27-42, February.
    5. Michael J. Brusco & Larry W. Jacobs, 1993. "A simulated annealing approach to the cyclic staff‐scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(1), pages 69-84, February.
    6. Francis J. Vasko, 1984. "An efficient heuristic for large set covering problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(1), pages 163-171, March.
    7. Mark S. Daskin & Edmund H. Stern, 1981. "A Hierarchical Objective Set Covering Model for Emergency Medical Service Vehicle Deployment," Transportation Science, INFORMS, vol. 15(2), pages 137-152, May.
    8. Beasley, J. E., 1987. "An algorithm for set covering problem," European Journal of Operational Research, Elsevier, vol. 31(1), pages 85-93, July.
    9. Kouvelis, Panagiotis & Chiang, Wen-Chyuan & Fitzsimmons, James, 1992. "Simulated annealing for machine layout problems in the presence of zoning constraints," European Journal of Operational Research, Elsevier, vol. 57(2), pages 203-223, March.
    10. V. Chvatal, 1979. "A Greedy Heuristic for the Set-Covering Problem," Mathematics of Operations Research, INFORMS, vol. 4(3), pages 233-235, August.
    11. Beasley, J. E. & Jornsten, K., 1992. "Enhancing an algorithm for set covering problems," European Journal of Operational Research, Elsevier, vol. 58(2), pages 293-300, April.
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