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An exact algorithm for the 0-1 collapsing knapsack problem. (English) Zbl 0806.90089
Summary: An exact algorithm is proposed for the 0-1 collapsing knapsack problem as defined by M. Guignard and M. Posner [Math. Program. 15, 155- 161 (1978; Zbl 0393.90060)]. Bounding of the number of variables equal to 1 in an optimal solution is extensively used, as well as inner- and outer-linearization of the nonlinear right-hand side of the constraint. This allows generally a drastic reduction of the feasible domain. An implicit enumeration scheme solves the problem reduced by the preprocessing phase. Computational experiments are reported on.

90C09 Boolean programming
Zbl 0393.90060
Full Text: DOI
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