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Approximation Schemes for the 3-Partitioning Problems

DOI: 10.4236/cn.2013.51B021, PP. 90-95

Keywords: 3-partitioning Problem, Approximation Scheme

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The 3-partitioning problem is to decide whether a given multiset of nonnegative integers can be partitioned into triples that all have the same sum. It is considerably used to prove the strong NP-hardness of many scheduling problems. In this paper, we consider four optimization versions of the 3-partitioning problem, and then present four polynomial time approximation schemes for these problems.


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