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Branch-and-Bound Methods: A Survey

E. L. Lawler and D. E. Wood
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E. L. Lawler: The University of Michigan, Ann Arbor, Michigan
D. E. Wood: The University of Michigan, Ann Arbor, Michigan

Operations Research, 1966, vol. 14, issue 4, 699-719

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.

Date: 1966
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Citations: View citations in EconPapers (62)

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