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

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  • Adam Janiak
  • Mikhail Kovalyov
  • Maciej Lichtenstein

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

Suggested Citation

  • Adam Janiak & Mikhail Kovalyov & Maciej Lichtenstein, 2013. "Strong NP-hardness of scheduling problems with learning or aging effect," Annals of Operations Research, Springer, vol. 206(1), pages 577-583, July.
    • Handle: RePEc:spr:annopr:v:206:y:2013:i:1:p:577-583:10.1007/s10479-013-1364-x
    DOI: 10.1007/s10479-013-1364-x
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    References listed on IDEAS

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    1. Xingong Zhang & Guangle Yan & Wanzhen Huang & Guochun Tang, 2011. "Single-machine scheduling problems with time and position dependent processing times," Annals of Operations Research, Springer, vol. 186(1), pages 345-356, June.
    2. Dar-Li Yang & Wen-Hung Kuo, 2009. "Single-machine scheduling with both deterioration and learning effects," Annals of Operations Research, Springer, vol. 172(1), pages 315-327, November.
    3. Wen-Hung Kuo, 2012. "Single-machine group scheduling with time-dependent learning effect and position-based setup time learning effect," Annals of Operations Research, Springer, vol. 196(1), pages 349-359, July.
    4. Radosław Rudek, 2012. "Scheduling problems with position dependent job processing times: computational complexity results," Annals of Operations Research, Springer, vol. 196(1), pages 491-516, July.
    5. Ji-Bo Wang & Ming-Zheng Wang, 2011. "Worst-case behavior of simple sequencing rules in flow shop scheduling with general position-dependent learning effects," Annals of Operations Research, Springer, vol. 191(1), pages 155-169, November.
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    Cited by:

    1. Lin-Hui Sun & Kai Cui & Ju-Hong Chen & Jun Wang & Xian-Chen He, 2013. "Research on permutation flow shop scheduling problems with general position-dependent learning effects," Annals of Operations Research, Springer, vol. 211(1), pages 473-480, December.
    2. Zhe Zhang & Xiaoling Song & Huijun Huang & Yong Yin & Benjamin Lev, 2022. "Scheduling problem in seru production system considering DeJong’s learning effect and job splitting," Annals of Operations Research, Springer, vol. 312(2), pages 1119-1141, May.

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