An alternative approach for proving the NP-hardness of optimization problems

T.C.E. Cheng, Y. Shafransky and C.T. Ng

European Journal of Operational Research, 2016, vol. 248, issue 1, 52-58

Abstract: We provide a new reduction-based approach for proving the NP-hardness of optimization problems and establish that it includes the “classical” approach as a special case. We apply our alternative approach to prove the NP-hardness of a problem for which the classical approach is not applicable. Besides, we construct a special case of the problem with the property that finding an optimal element takes polynomial time despite that computing the objective function values is NP-hard.

Keywords: Combinatorial optimization; Computational complexity; Scheduling (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:248:y:2016:i:1:p:52-58

DOI: 10.1016/j.ejor.2015.06.076

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