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Single machine hierarchical scheduling with customer orders and multiple job classes

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  • Jatinder Gupta
  • Johnny Ho
  • Jack van der Veen

Abstract

In this paper, we consider single machine bi-criteria scheduling problems where jobs are from multiple job classes and there are customer orders such that each customer order consists of at least one job from each of the job classes. A set-up time is needed whenever the machine is changed over from a job in one class to a job in another class. One objective is to minimize the makespan which is equivalent to minimizing the total set-up time. The other objective is to minimize total carrying costs of the customer orders. The carrying cost of a customer order is measured by the length of the time interval between the completion times of the first job and the last job in the customer order. We propose constructive polynomial time algorithms for the two hierarchical scheduling problems with these two objectives, i.e. the two scheduling problems in which one objective is to be optimized while holding the other objective fixed at its optimal value. Copyright Kluwer Academic Publishers 1997

Suggested Citation

  • Jatinder Gupta & Johnny Ho & Jack van der Veen, 1997. "Single machine hierarchical scheduling with customer orders and multiple job classes," Annals of Operations Research, Springer, vol. 70(0), pages 127-143, April.
    • Handle: RePEc:spr:annopr:v:70:y:1997:i:0:p:127-143:10.1023/a:1018913902852
    DOI: 10.1023/A:1018913902852
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    Citations

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    Cited by:

    1. Reza Ahmadi & Uttarayan Bagchi & Thomas A. Roemer, 2005. "Coordinated scheduling of customer orders for quick response," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(6), pages 493-512, September.
    2. Leung, Joseph Y.-T. & Lee, C.Y. & Ng, C.W. & Young, G.H., 2008. "Preemptive multiprocessor order scheduling to minimize total weighted flowtime," European Journal of Operational Research, Elsevier, vol. 190(1), pages 40-51, October.
    3. Steinhofel, K. & Albrecht, A. & Wong, C. K., 1999. "Two simulated annealing-based heuristics for the job shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 118(3), pages 524-548, November.
    4. Gerodimos, Alex E. & Glass, Celia A. & Potts, Chris N., 2000. "Scheduling the production of two-component jobs on a single machine," European Journal of Operational Research, Elsevier, vol. 120(2), pages 250-259, January.
    5. James Blocher & Dilip Chhajed, 2008. "Minimizing customer order lead-time in a two-stage assembly supply chain," Annals of Operations Research, Springer, vol. 161(1), pages 25-52, July.
    6. Klamroth, Kathrin & Wiecek, Margaret M., 2001. "A time-dependent multiple criteria single-machine scheduling problem," European Journal of Operational Research, Elsevier, vol. 135(1), pages 17-26, November.
    7. Jian Chen & Meilin Wang & Xiang T. R. Kong & George Q. Huang & Qinyun Dai & Guoqiang Shi, 2019. "Manufacturing synchronization in a hybrid flowshop with dynamic order arrivals," Journal of Intelligent Manufacturing, Springer, vol. 30(7), pages 2659-2668, October.
    8. Allahverdi, Ali & Gupta, Jatinder N. D. & Aldowaisan, Tariq, 1999. "A review of scheduling research involving setup considerations," Omega, Elsevier, vol. 27(2), pages 219-239, April.
    9. Chin-Chia Wu & Jatinder N. D. Gupta & Win-Chin Lin & Shuenn-Ren Cheng & Yen-Lin Chiu & Juin-Han Chen & Long-Yuan Lee, 2022. "Robust Scheduling of Two-Agent Customer Orders with Scenario-Dependent Component Processing Times and Release Dates," Mathematics, MDPI, vol. 10(9), pages 1-17, May.
    10. Framinan, Jose M. & Perez-Gonzalez, Paz & Fernandez-Viagas, Victor, 2019. "Deterministic assembly scheduling problems: A review and classification of concurrent-type scheduling models and solution procedures," European Journal of Operational Research, Elsevier, vol. 273(2), pages 401-417.

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