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Some due date determination scheduling problems with two agents on a single machine

Author

Listed:
  • Wang, Du-Juan
  • Yin, Yunqiang
  • Xu, Jianyou
  • Wu, Wen-Hsiang
  • Cheng, Shuenn-Ren
  • Wu, Chin-Chia

Abstract

This paper addresses some scheduling problems with two competing agents, called agents A and B, respectively, each of which has a set of independent nonpreemptive jobs to be scheduled for processing on a common machine. The due dates of jobs in each job set are considered as given parameters and must be assigned to individual jobs. Each agent wants to minimize a certain objective function that depends on the completion times and due dates of its jobs only. The goal is to find a feasible schedule and determine the due dates for all jobs of the two agents that minimizes the objective of agent A while keeping the objective of agent B below or at a fixed level Q. We consider nine problems arising from different criteria combinations for the two agents, depending on the criterion of each agent including the maximum lateness, total (weighted) tardiness, (weighted) number of tardy jobs, and total weighted tardiness and earliness, and state the complexity results for most of problems under consideration.

Suggested Citation

  • Wang, Du-Juan & Yin, Yunqiang & Xu, Jianyou & Wu, Wen-Hsiang & Cheng, Shuenn-Ren & Wu, Chin-Chia, 2015. "Some due date determination scheduling problems with two agents on a single machine," International Journal of Production Economics, Elsevier, vol. 168(C), pages 81-90.
    • Handle: RePEc:eee:proeco:v:168:y:2015:i:c:p:81-90
    DOI: 10.1016/j.ijpe.2015.06.018
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    References listed on IDEAS

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    Cited by:

    1. Yongjian Yang & Guangqiang Yin & Chunyu Wang & Yunqiang Yin, 0. "Due date assignment and two-agent scheduling under multitasking environment," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-17.
    2. Yongjian Yang & Guangqiang Yin & Chunyu Wang & Yunqiang Yin, 2022. "Due date assignment and two-agent scheduling under multitasking environment," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2207-2223, November.
    3. Shesh Narayan Sahu & Yuvraj Gajpal & Swapan Debbarma, 2018. "Two-agent-based single-machine scheduling with switchover time to minimize total weighted completion time and makespan objectives," Annals of Operations Research, Springer, vol. 269(1), pages 623-640, October.
    4. Liang Tang & Zhihong Jin & Xuwei Qin & Ke Jing, 2019. "Supply chain scheduling in a collaborative manufacturing mode: model construction and algorithm design," Annals of Operations Research, Springer, vol. 275(2), pages 685-714, April.

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