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Scheduling controllable processing time jobs in a deteriorating environment

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  • D Oron

    (University of Sydney Business School, NSW, Australia)

Abstract

In many real-life applications, job processing times are a function of the waiting time prior to their execution. In the most general setting, each job comprises of a basic processing time, which is independent of its start time, and a start time-dependent deterioration function. Some common examples of deteriorating systems include fire fighting, pollution containment, and medical treatments. To date, research has focused on scheduling models where the basic processing time of jobs is constant. However, job processing times are often controllable through the allocation of a limited non-renewable resource. We study a single-machine setting that combines these two models under the assumptions of general linear deterioration and convex resource functions. We develop a polynomial time solution for minimizing the makespan. For the total flowtime criterion, we compute the optimal resource allocation policy for a given job instance and show that the sequencing problem is at least as hard as the case with non-controllable jobs. We follow by discussing the properties of several special cases.

Suggested Citation

  • D Oron, 2014. "Scheduling controllable processing time jobs in a deteriorating environment," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(1), pages 49-56, January.
  • Handle: RePEc:pal:jorsoc:v:65:y:2014:i:1:p:49-56
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    Citations

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    Cited by:

    1. Chun-Lai Liu & Jian-Jun Wang, 2016. "Unrelated Parallel-Machine Scheduling with Controllable Processing Times and Impact of Deteriorating Maintenance Activities under Consideration," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-16, February.
    2. Oron, Daniel, 2016. "Scheduling controllable processing time jobs with position-dependent workloads," International Journal of Production Economics, Elsevier, vol. 173(C), pages 153-160.
    3. Jia-Xuan Yan & Na Ren & Hong-Bin Bei & Han Bao & Ji-Bo Wang, 2022. "Scheduling with Resource Allocation, Deteriorating Effect and Group Technology to Minimize Total Completion Time," Mathematics, MDPI, vol. 10(16), pages 1-15, August.
    4. Shaojun Lu & Min Kong & Zhiping Zhou & Xinbao Liu & Siwen Liu, 2022. "A hybrid metaheuristic for a semiconductor production scheduling problem with deterioration effect and resource constraints," Operational Research, Springer, vol. 22(5), pages 5405-5440, November.
    5. Yang, Dar-Li & Lai, Chien-Jung & Yang, Suh-Jenq, 2014. "Scheduling problems with multiple due windows assignment and controllable processing times on a single machine," International Journal of Production Economics, Elsevier, vol. 150(C), pages 96-103.
    6. Ming-Hui Li & Dan-Yang Lv & Yuan-Yuan Lu & Ji-Bo Wang, 2024. "Scheduling with Group Technology, Resource Allocation, and Learning Effect Simultaneously," Mathematics, MDPI, vol. 12(7), pages 1-21, March.
    7. Lin-Hui Sun & Kai Cui & Ju-hong Chen & Jun Wang, 2016. "Due date assignment and convex resource allocation scheduling with variable job processing times," International Journal of Production Research, Taylor & Francis Journals, vol. 54(12), pages 3551-3560, June.

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