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- W1555243703 abstract "We consider bounded integer knapsacks where the weights and variable upper bounds together form a superincreasing sequence. The elements of this superincreasing knapsack are exactly those vectors that are lexicographically smaller than the greedy solution to optimizing over this knapsack. We describe the convex hull of this n-dimensional set with O(n) facets. We also establish a distributive property by proving that the convex hull of ≤- and ≥-type superincreasing knapsacks can be obtained by intersecting the convex hulls of ≤- and ≥-sets taken individually. Our proofs generalize existing results for the 0∖1 case." @default.
- W1555243703 created "2016-06-24" @default.
- W1555243703 creator A5079034403 @default.
- W1555243703 date "2016-03-01" @default.
- W1555243703 modified "2023-10-18" @default.
- W1555243703 title "Convex hulls of superincreasing knapsacks and lexicographic orderings" @default.
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- W1555243703 doi "https://doi.org/10.1016/j.dam.2015.08.010" @default.
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