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arXiv · 2304.12967

The Incremental Knapsack Problem with Monotone Submodular All-or-Nothing Profits

Federico D'Onofrio·Yuri Faenza·Lingyi Zhang
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Abstract

We study incremental knapsack problems with profits given by a special class of monotone submodular functions, that we dub all-or-nothing. We show that these problems are not harder to approximate than a less general class of modular incremental knapsack problems, that have been investigated in the literature. We also show that certain extensions to more general submodular functions are APX-hard.

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Federico D'Onofrio, Yuri Faenza, Lingyi Zhang. 2023-04-25. The Incremental Knapsack Problem with Monotone Submodular All-or-Nothing Profits. https://arxiv.org/abs/2304.12967

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