Strong NP-hardness of scheduling problems with learning or aging effect

Adam Janiak (), Mikhail Kovalyov and Maciej Lichtenstein

Annals of Operations Research, 2013, vol. 206, issue 1, 577-583

Abstract: Proofs of strong NP-hardness of single machine and two-machine flowshop scheduling problems with learning or aging effect given in Rudek (Computers & Industrial Engineering 61:20–31, 2011 ; Annals of Operations Research 196(1):491–516, 2012a ; International Journal of Advanced Manufacturing Technology 59:299–309, 2012b ; Applied Mathematics and Computations 218:6498–6510, 2012c ; Applied Mathematical Modelling 37:1523–1536, 2013 ) contain a common mistake that make them incomplete. We reveal the mistake and provide necessary corrections for the problems in Rudek (Computers & Industrial Engineering 61:20–31, 2011 ; Annals of Operations Research 196(1):491–516, 2012a ; Applied Mathematical Modelling 37:1523–1536, 2013 ). NP-hardness of problems in Rudek (International Journal of Advanced Manufacturing Technology 59:299–309, 2012b ; Applied Mathematics and Computations 218:6498–6510, 2012c ) remains unknown because of another mistake which we are unable to correct. Copyright Springer Science+Business Media New York 2013

Keywords: Scheduling; Flowshop; Single machine; Learning effect; Aging effect; Computational complexity (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10479-013-1364-x

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