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Rescheduling on a single machine with part-type dependent setup times and deadlines

Author

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  • Ali Tamer Unal
  • Reha Uzsoy
  • Ali Kiran

Abstract

We consider the problem of rescheduling a facility modeled as a single machine in the face of newly arrived jobs with part-type dependent setup times. The facility contains a number of jobs that have been assigned due dates and scheduled so as to meet them. We wish to insert the new jobs into the existing schedule in a manner that will minimize the disruption of the jobs in the system and minimize the total weighted completion time or the maximum completion time of the new jobs. We provide a polynomial-time algorithm for the maximum completion time problem, prove that the total weighted completion time problem is NP-hard in the strong sense and study several of its special cases. In particular, we show that the case with reverse-agreeable weights (of which the unit weight problem is a special case) can be solved in polynomial time when the number of part types is fixed. We also present two heuristics for the problem with arbitrary weights and develop data-dependent worst-case error bounds. Extensive computational experiments show that the heuristics consistently obtain near-optimal solutions in very reasonable CPU times. Copyright Kluwer Academic Publishers 1997

Suggested Citation

  • Ali Tamer Unal & Reha Uzsoy & Ali Kiran, 1997. "Rescheduling on a single machine with part-type dependent setup times and deadlines," Annals of Operations Research, Springer, vol. 70(0), pages 93-113, April.
    • Handle: RePEc:spr:annopr:v:70:y:1997:i:0:p:93-113:10.1023/a:1018955111939
    DOI: 10.1023/A:1018955111939
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    Cited by:

    1. Gökçe Kahveciog̃lu & Barış Balcıog̃lu, 2016. "Coping with production time variability via dynamic lead-time quotation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 877-898, October.
    2. Alagoz, Oguzhan & Azizoglu, Meral, 2003. "Rescheduling of identical parallel machines under machine eligibility constraints," European Journal of Operational Research, Elsevier, vol. 149(3), pages 523-532, September.
    3. Qiulan Zhao & Lingfa Lu & Jinjiang Yuan, 2016. "Rescheduling with new orders and general maximum allowable time disruptions," 4OR, Springer, vol. 14(3), pages 261-280, September.
    4. Xiangtong Qi, 2005. "A logistics scheduling model: Inventory cost reduction by batching," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(4), pages 312-320, June.
    5. Yuan, Jinjiang & Mu, Yundong, 2007. "Rescheduling with release dates to minimize makespan under a limit on the maximum sequence disruption," European Journal of Operational Research, Elsevier, vol. 182(2), pages 936-944, October.
    6. Qi, Xiangtong & Bard, Jonathan F. & Yu, Gang, 2006. "Disruption management for machine scheduling: The case of SPT schedules," International Journal of Production Economics, Elsevier, vol. 103(1), pages 166-184, September.
    7. M Ozlen & M Azizoğlu, 2011. "Rescheduling unrelated parallel machines with total flow time and total disruption cost criteria," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 152-164, January.
    8. Liu, Zhixin & Lu, Liang & Qi, Xiangtong, 2018. "Cost allocation in rescheduling with machine unavailable period," European Journal of Operational Research, Elsevier, vol. 266(1), pages 16-28.
    9. Bruccoleri, Manfredi & Pasek, Zbigniew J. & Koren, Yoram, 2006. "Operation management in reconfigurable manufacturing systems: Reconfiguration for error handling," International Journal of Production Economics, Elsevier, vol. 100(1), pages 87-100, March.
    10. 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.
    11. Aytug, Haldun & Lawley, Mark A. & McKay, Kenneth & Mohan, Shantha & Uzsoy, Reha, 2005. "Executing production schedules in the face of uncertainties: A review and some future directions," European Journal of Operational Research, Elsevier, vol. 161(1), pages 86-110, February.
    12. Gerichhausen, Marloes & Hamers, Herbert, 2009. "Partitioning sequencing situations and games," European Journal of Operational Research, Elsevier, vol. 196(1), pages 207-216, July.
    13. Paz Perez-Gonzalez & Jose M. Framinan, 2018. "Single machine interfering jobs problem with flowtime objective," Journal of Intelligent Manufacturing, Springer, vol. 29(5), pages 953-972, June.
    14. Nicholas G. Hall & Chris N. Potts, 2010. "Rescheduling for Job Unavailability," Operations Research, INFORMS, vol. 58(3), pages 746-755, June.
    15. Hoogeveen, H. & Lenté, C. & T’kindt, V., 2012. "Rescheduling for new orders on a single machine with setup times," European Journal of Operational Research, Elsevier, vol. 223(1), pages 40-46.
    16. Nicholas G. Hall & Chris N. Potts, 2004. "Rescheduling for New Orders," Operations Research, INFORMS, vol. 52(3), pages 440-453, June.
    17. Nicholas G. Hall & Zhixin Liu & Chris N. Potts, 2007. "Rescheduling for Multiple New Orders," INFORMS Journal on Computing, INFORMS, vol. 19(4), pages 633-645, November.
    18. Zhao, Chuan-Li & Tang, Heng-Yong, 2010. "Scheduling deteriorating jobs under disruption," International Journal of Production Economics, Elsevier, vol. 125(2), pages 294-299, June.
    19. Wenchang Luo & Rylan Chin & Alexander Cai & Guohui Lin & Bing Su & An Zhang, 2022. "A tardiness-augmented approximation scheme for rejection-allowed multiprocessor rescheduling," Journal of Combinatorial Optimization, Springer, vol. 44(1), pages 690-722, August.
    20. 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.
    21. Yin, Yunqiang & Cheng, T.C.E. & Wang, Du-Juan, 2016. "Rescheduling on identical parallel machines with machine disruptions to minimize total completion time," European Journal of Operational Research, Elsevier, vol. 252(3), pages 737-749.
    22. Seçil Savaşaneril & Paul M. Griffin & Pınar Keskinocak, 2010. "Dynamic Lead-Time Quotation for an M/M/1 Base-Stock Inventory Queue," Operations Research, INFORMS, vol. 58(2), pages 383-395, April.

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