A 2-APPROXIMATION ALGORITHM FOR THE MINIMUM KNAPSACK PROBLEM WITH A FORCING GRAPH
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- Takazawa Yotaro
- Tokyo Institute of Technology
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- Mizuno Shinji
- Tokyo Institute of Technology
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Description
<p>Carnes and Shmoys [2] presented a 2-approximation algorithm for the minimum knapsack problem. We extend their algorithm to the minimum knapsack problem with a forcing graph (MKPFG), which has a forcing constraint for each edge in the graph. The forcing constraint means that at least one item (vertex) of the edge must be packed in the knapsack. The problem is strongly NP-hard, since it includes the vertex cover problem as a special case. Generalizing the proposed algorithm, we also present an approximation algorithm for the covering integer program with 0-1 variables.</p>
Journal
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- Journal of the Operations Research Society of Japan
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Journal of the Operations Research Society of Japan 60 (1), 15-23, 2017
The Operations Research Society of Japan
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Keywords
Details 詳細情報について
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- CRID
- 1390282679086927872
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- NII Article ID
- 130005316101
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- NII Book ID
- AA00703935
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- ISSN
- 21888299
- 04534514
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- NDL BIB ID
- 027850675
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed