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Scheduling Position-Based Deteriorating Jobs With Multiple Rate-Modifying Activities And Past-Sequence-Dependent Delivery Times

Author

Listed:
  • KE CHEN

    (School of Computer Science and Information Engineering, Contemporary Business and Trade Research Center, Zhejiang Gongshang University, Hangzhou 310018, P. R. China)

  • MIN JI

    (School of Computer Science and Information Engineering, Contemporary Business and Trade Research Center, Zhejiang Gongshang University, Hangzhou 310018, P. R. China)

  • JIAOJIAO GE

    (School of Computer Science and Information Engineering, Contemporary Business and Trade Research Center, Zhejiang Gongshang University, Hangzhou 310018, P. R. China)

  • GUIYI WEI

    (School of Computer Science and Information Engineering, Contemporary Business and Trade Research Center, Zhejiang Gongshang University, Hangzhou 310018, P. R. China)

Abstract

In this paper, we consider a scheduling problem with position-based deteriorating jobs and past-sequence-dependent delivery times on a single machine or parallel machines. Each job's delivery time is dependent on its waiting time for processing. Because of the deteriorating effect, each machine will undergo multiple rate-modifying activities throughout the planning horizon to restore its processing rate. For the single-machine case, the objectives are to minimize the makespan and the total completion time. For the parallel-machine case, the objectives are to minimize the total completion time and the total machine load. We show that all these problems are solvable in polynomial time.

Suggested Citation

  • Ke Chen & Min Ji & Jiaojiao Ge & Guiyi Wei, 2014. "Scheduling Position-Based Deteriorating Jobs With Multiple Rate-Modifying Activities And Past-Sequence-Dependent Delivery Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(03), pages 1-15.
    • Handle: RePEc:wsi:apjorx:v:31:y:2014:i:03:n:s0217595914500183
    DOI: 10.1142/S0217595914500183
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    References listed on IDEAS

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    1. Joachim Klewes & Ralf Langen (ed.), 2008. "Change 2.0," Springer Books, Springer, number 978-3-540-77495-2, November.
    2. Oecd, 2012. "Bosnia and Herzegovina Assessment Report 2012," SIGMA Country Assessment Reports 2012/6, OECD Publishing.
    3. AfDB AfDB, . "2011 - Tanzania - Country Profile," Country Brochure, African Development Bank, number 384.
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    Cited by:

    1. Gur Mosheiov & Daniel Oron, 2020. "Scheduling problems with a weight-modifying-activity," Annals of Operations Research, Springer, vol. 295(2), pages 737-745, December.
    2. Shi-Sheng Li & Ren-Xia Chen, 2017. "Scheduling with Rejection and a Deteriorating Maintenance Activity on a Single Machine," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(02), pages 1-17, April.

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