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Branch and bound (BB, B&B, or BnB) is an algorithm design paradigm for discrete and combinatorial optimization problems, as well as mathematical optimization. A branch-and-bound algorithm consists of a systematic enumeration of candidate solutions by means of state space search
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A. H. Land and A. G. Doig (1960). “An automatic method of solving discrete programming problems”. Econometrica. 28 (3). pp. 497–520.