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Two-agent scheduling with deteriorating jobs on a single parallel-batching machine: refining computational complexity

  • Mikhail Y. Kovalyov
  • Dmitrij ŠešokEmail author
Article
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Abstract

Tang et al. (Eur J Oper Res 263:401–411, 2017) have recently introduced a parallel-batching machine scheduling problem with linearly deteriorating jobs of two agents and presented a computational complexity classification of various special cases of this problem, including a number of NP-hardness proofs. We refine these results by demonstrating strong NP-hardness of several special cases, which are proved NP-hard in the ordinary sense in Tang et al. (Eur J Oper Res 263:401–411, 2017). Our reduction employs the problem studied in the first issue of Journal of Scheduling.

Keywords

Scheduling Batching Agent scheduling Computational complexity Deterioration 

Notes

References

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    Li, S. S., Ng, C. T., Cheng, T. C. E., & Yuan, J. J. (2011). Parallel-batch scheduling of deteriorating jobs with release dates to minimize the makespan. European Journal of Operational Research, 210, 482–488.CrossRefGoogle Scholar
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    Tang, L., Zhao, X., Liu, J., & Leung, J. Y.-T. (2017). Competitive two-agent scheduling with deteriorating jobs on a single parallel-batching machine. European Journal of Operational Research, 263, 401–411.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.United Institute of Informatics ProblemsNational Academy of Sciences of BelarusMinskBelarus
  2. 2.Vilnius Gediminas Technical UniversityVilniusLithuania

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