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One-machine scheduling problems with deteriorating jobs and position-dependent learning effects under group technology considerations

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  • Yong He
  • Li Sun

Abstract

In this paper, we introduce a group scheduling model with general deteriorating jobs and learning effects in which deteriorating jobs and learning effects are both considered simultaneously. This means that the actual processing time of a job depends not only on the processing time of the jobs already processed, but also on its scheduled position. In our model, the group setup times are general linear functions of their starting times and the jobs in the same group have general position-dependent learning effects and time-dependent deterioration. The objective of scheduling problems is to minimise the makespan and the sum of completion times, respectively. We show that the problems remain solvable in polynomial time under the proposed model.

Suggested Citation

  • Yong He & Li Sun, 2015. "One-machine scheduling problems with deteriorating jobs and position-dependent learning effects under group technology considerations," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1319-1326, May.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1319-1326
    DOI: 10.1080/00207721.2013.822126
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    Cited by:

    1. Dujuan Wang & Feng Liu & Yunqiang Yin & Jianjun Wang & Yanzhang Wang, 2015. "Prioritized surgery scheduling in face of surgeon tiredness and fixed off-duty period," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 967-981, November.
    2. Finke, Gerd & Gara-Ali, Ahmed & Espinouse, Marie-Laure & Jost, Vincent & Moncel, Julien, 2017. "Unified matrix approach to solve production-maintenance problems on a single machine," Omega, Elsevier, vol. 66(PA), pages 140-146.

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