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Adaptive Memory Tabu Search for Binary Quadratic Programs

Author

Listed:
  • Fred Glover

    (Graduate School of Business, University of Colorado at Boulder, Boulder, Colorado 80309)

  • Gary A. Kochenberger

    (College of Business, University of Colorado at Denver, Denver, Colorado 80217-3364)

  • Bahram Alidaee

    (College of Business, University of Mississippi, University, Mississippi 38677)

Abstract

Recent studies have demonstrated the effectiveness of applying adaptive memory tabu search procedures to combinatorial optimization problems. In this paper we describe the development and use of such an approach to solve binary quadratic programs. Computational experience is reported, showing that the approach optimally solves the most difficult problems reported in the literature. For challenging problems of limited size, which are capable of being approached by exact procedures, we find optimal solutions considerably faster than the best reported exact method. Moreover, we demonstrate that our approach is significantly more efficient and yields better solutions than the best heuristic method reported to date. Finally, we give outcomes for larger problems that are considerably more challenging than any currently reported in the literature.

Suggested Citation

  • Fred Glover & Gary A. Kochenberger & Bahram Alidaee, 1998. "Adaptive Memory Tabu Search for Binary Quadratic Programs," Management Science, INFORMS, vol. 44(3), pages 336-345, March.
    • Handle: RePEc:inm:ormnsc:v:44:y:1998:i:3:p:336-345
    DOI: 10.1287/mnsc.44.3.336
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    References listed on IDEAS

    as
    1. R. D. McBride & J. S. Yormark, 1980. "An Implicit Enumeration Algorithm for Quadratic Integer Programming," Management Science, INFORMS, vol. 26(3), pages 282-296, March.
    2. Gulati, V. P. & Gupta, S. K. & Mittal, A. K., 1984. "Unconstrained quadratic bivalent programming problem," European Journal of Operational Research, Elsevier, vol. 15(1), pages 121-125, January.
    3. Pierre Chardaire & Alain Sutter, 1995. "A Decomposition Method for Quadratic Zero-One Programming," Management Science, INFORMS, vol. 41(4), pages 704-712, April.
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