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arXiv · 1607.08338

Improvable Knapsack Problems

Marc Goerigk·Yogish Sabharwal·Anita Schöbel·Sandeep Sen
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Abstract

We consider a variant of the knapsack problem, where items are available with different possible weights. Using a separate budget for these item improvements, the question is: Which items should be improved to which degree such that the resulting classic knapsack problem yields maximum profit? We present a detailed analysis for several cases of improvable knapsack problems, presenting constant factor approximation algorithms and two PTAS.

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Marc Goerigk, Yogish Sabharwal, Anita Schöbel, Sandeep Sen. 2016-07-28. Improvable Knapsack Problems. https://arxiv.org/abs/1607.08338

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