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Minimising maximum lateness in a single machine scheduling problem with processing time-based aging effects

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  • RadosÅ‚aw Rudek

Abstract

In this paper, we analyse the single machine maximum lateness minimisation scheduling problem with the aging effect, where the job processing times are described by non-decreasing functions dependent on the sum of the normal processing times of already processed jobs. We prove that the considered problem is at least NP-hard even if job processing times are described by linear functions. Moreover, we construct the branch and bound method and implement well known approximation algorithms for the general version of the problem and verify numerically their efficiency. [Received 18 February 2011; Revised 26 May 2011, 3 September 2011; Accepted 12 September 2011]

Suggested Citation

  • RadosÅ‚aw Rudek, 2013. "Minimising maximum lateness in a single machine scheduling problem with processing time-based aging effects," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 7(2), pages 206-223.
    • Handle: RePEc:ids:eujine:v:7:y:2013:i:2:p:206-223
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    Cited by:

    1. Ren-Xia Chen & Shi-Sheng Li, 2019. "Two-agent single-machine scheduling with cumulative deterioration," 4OR, Springer, vol. 17(2), pages 201-219, June.
    2. Peng Liu & Xiaoli Wang, 2017. "Maximum Lateness Scheduling on Two-Person Cooperative Games with Variable Processing Times and Common Due Date," Journal of Optimization, Hindawi, vol. 2017, pages 1-7, April.
    3. Allahverdi, Ali & Aydilek, Harun, 2014. "Total completion time with makespan constraint in no-wait flowshops with setup times," European Journal of Operational Research, Elsevier, vol. 238(3), pages 724-734.

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