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Branch-and-Bound Methods: A Survey

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  • E. L. Lawler

    (The University of Michigan, Ann Arbor, Michigan)

  • D. E. Wood

    (The University of Michigan, Ann Arbor, Michigan)

Abstract

The essential features of the branch-and-bound approach to constrained optimization are described, and several specific applications are reviewed. These include integer linear programming (Land-Doig and Balas methods), nonlinear programming (minimization of nonconvex objective functions), the traveling-salesman problem (Eastman and Little, et al. methods), and the quadratic assignment problem (Gilmore and Lawler methods). Computational considerations, including trade-offs between length of computation and storage requirements, are discussed and a comparison with dynamic programming is made. Various applications outside the domain of mathematical programming are also mentioned.

Suggested Citation

  • E. L. Lawler & D. E. Wood, 1966. "Branch-and-Bound Methods: A Survey," Operations Research, INFORMS, vol. 14(4), pages 699-719, August.
    • Handle: RePEc:inm:oropre:v:14:y:1966:i:4:p:699-719
    DOI: 10.1287/opre.14.4.699
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