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A general class of branch-and-bound methods in global optimization with some new approaches for concave minimization

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Abstract

Based on a review of existing algorithms, a general branch-and-bound concept in global optimization is presented. A sufficient and necessary convergence condition is established, and a broad class of realizations is derived that include existing and several new approaches for concave minimization problems.

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Communicated by G. Leitmann

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Horst, R. A general class of branch-and-bound methods in global optimization with some new approaches for concave minimization. J Optim Theory Appl 51, 271–291 (1986). https://doi.org/10.1007/BF00939825

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