Improvable Knapsack Problems

نویسندگان

  • Marc Goerigk
  • Yogish Sabharwal
  • Anita Schöbel
  • Sandeep Sen
چکیده

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. Parts of this paper have been published in the extended conference abstract [GSSS14].

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عنوان ژورنال:
  • CoRR

دوره abs/1607.08338  شماره 

صفحات  -

تاریخ انتشار 2016