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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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    1. K. Tanaka & M. Vlach, 1999. "Minimizing maximum absolute lateness and range of lateness under generalizeddue dates on a single machine," Annals of Operations Research, Springer, vol. 86(0), pages 507-526, January.
    2. Alessandro Agnetis & Dario Pacciarelli & Andrea Pacifici, 2007. "Multi-agent single machine scheduling," Annals of Operations Research, Springer, vol. 150(1), pages 3-15, March.
    3. C. Sriskandarajah, 1990. "A note on the generalized due dates scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(4), pages 587-597, August.
    4. Gao, Su & Qi, Lian & Lei, Lei, 2015. "Integrated batch production and distribution scheduling with limited vehicle capacity," International Journal of Production Economics, Elsevier, vol. 160(C), pages 13-25.
    5. Cheng, T.C.E. & Ng, C.T. & Yuan, J.J., 2008. "Multi-agent scheduling on a single machine with max-form criteria," European Journal of Operational Research, Elsevier, vol. 188(2), pages 603-609, July.
    6. Mor, Baruch & Mosheiov, Gur, 2010. "Scheduling problems with two competing agents to minimize minmax and minsum earliness measures," European Journal of Operational Research, Elsevier, vol. 206(3), pages 540-546, November.
    7. Tiacci, Lorenzo, 2015. "Coupling a genetic algorithm approach and a discrete event simulator to design mixed-model un-paced assembly lines with parallel workstations and stochastic task times," International Journal of Production Economics, Elsevier, vol. 159(C), pages 319-333.
    8. Lei, Deming & Guo, Xiuping, 2015. "A parallel neighborhood search for order acceptance and scheduling in flow shop environment," International Journal of Production Economics, Elsevier, vol. 165(C), pages 12-18.
    9. Allesandro Agnetis & Pitu B. Mirchandani & Dario Pacciarelli & Andrea Pacifici, 2004. "Scheduling Problems with Two Competing Agents," Operations Research, INFORMS, vol. 52(2), pages 229-242, April.
    10. Cheng, T. C. E. & Gupta, M. C., 1989. "Survey of scheduling research involving due date determination decisions," European Journal of Operational Research, Elsevier, vol. 38(2), pages 156-166, January.
    11. Gerhard J. Woeginger, 2000. "When Does a Dynamic Programming Formulation Guarantee the Existence of a Fully Polynomial Time Approximation Scheme (FPTAS)?," INFORMS Journal on Computing, INFORMS, vol. 12(1), pages 57-74, February.
    12. Wan, Guohua & Vakati, Sudheer R. & Leung, Joseph Y.-T. & Pinedo, Michael, 2010. "Scheduling two agents with controllable processing times," European Journal of Operational Research, Elsevier, vol. 205(3), pages 528-539, September.
    13. Rafiei, Rezvan & Nourelfath, Mustapha & Gaudreault, Jonathan & De Santa-Eulalia, Luis Antonio & Bouchard, Mathieu, 2015. "Dynamic safety stock in co-production demand-driven wood remanufacturing mills: A case study," International Journal of Production Economics, Elsevier, vol. 165(C), pages 90-99.
    14. Perez-Gonzalez, Paz & Framinan, Jose M., 2014. "A common framework and taxonomy for multicriteria scheduling problems with interfering and competing jobs: Multi-agent scheduling problems," European Journal of Operational Research, Elsevier, vol. 235(1), pages 1-16.
    15. Cheng, Shuenn-Ren, 2014. "Some new problems on two-agent scheduling to minimize the earliness costs," International Journal of Production Economics, Elsevier, vol. 156(C), pages 24-30.
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    Cited by:

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    2. 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.
    3. 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.
    4. 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.

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