IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v57y2006i4d10.1057_palgrave.jors.2601998.html
   My bibliography  Save this article

Minimizing total flow time in the single-machine scheduling problem with periodic maintenance

Author

Listed:
  • W J Chen

    (Chung Kuo Institute of Technology)

Abstract

This paper deals with a single-machine scheduling problem with limited machine availability. The limited availability of machine results from periodic maintenance activities. In our research, a periodic maintenance schedule consists of several maintenance periods. Each maintenance period is scheduled after a periodic time interval. The objective is to find a schedule that minimizes the total flow time subject to periodic maintenance and nonresumable jobs. Some important theorems are proved for the problem. A branch-and-bound algorithm that utilizes several theorems is proposed to find the optimal schedule. We also develop a heuristic to solve large sized problems. In this paper, computational results show that the proposed heuristic is highly accurate and efficient.

Suggested Citation

  • W J Chen, 2006. "Minimizing total flow time in the single-machine scheduling problem with periodic maintenance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 410-415, April.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:4:d:10.1057_palgrave.jors.2601998
    DOI: 10.1057/palgrave.jors.2601998
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/palgrave.jors.2601998
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1057/palgrave.jors.2601998?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. X Qi & T Chen & F Tu, 1999. "Scheduling the maintenance on a single machine," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(10), pages 1071-1078, October.
    2. I. Adiri & E. Frostig & A. H. G. Rinnooy Kan, 1991. "Scheduling on a single machine with a single breakdown to minimize stochastically the number of tardy jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(2), pages 261-271, April.
    3. Lee, Chung-Yee & Lin, Chen-Sin, 2001. "Single-machine scheduling with maintenance and repair rate-modifying activities," European Journal of Operational Research, Elsevier, vol. 135(3), pages 493-513, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chen, Wen-Jinn, 2009. "Minimizing number of tardy jobs on a single machine subject to periodic maintenance," Omega, Elsevier, vol. 37(3), pages 591-599, June.
    2. Imed Kacem, 2009. "Approximation algorithms for the makespan minimization with positive tails on a single machine with a fixed non-availability interval," Journal of Combinatorial Optimization, Springer, vol. 17(2), pages 117-133, February.
    3. Kacem, Imed & Chu, Chengbin, 2008. "Efficient branch-and-bound algorithm for minimizing the weighted sum of completion times on a single machine with one availability constraint," International Journal of Production Economics, Elsevier, vol. 112(1), pages 138-150, March.
    4. Hanane Krim & Rachid Benmansour & David Duvivier & Daoud Aït-Kadi & Said Hanafi, 2020. "Heuristics for the single machine weighted sum of completion times scheduling problem with periodic maintenance," Computational Optimization and Applications, Springer, vol. 75(1), pages 291-320, January.
    5. Nesello, Vitor & Subramanian, Anand & Battarra, Maria & Laporte, Gilbert, 2018. "Exact solution of the single-machine scheduling problem with periodic maintenances and sequence-dependent setup times," European Journal of Operational Research, Elsevier, vol. 266(2), pages 498-507.
    6. Sun, Kaibiao & Li, Hongxing, 2010. "Scheduling problems with multiple maintenance activities and non-preemptive jobs on two identical parallel machines," International Journal of Production Economics, Elsevier, vol. 124(1), pages 151-158, March.
    7. Jing Fan & Xiwen Lu, 2015. "Supply chain scheduling problem in the hospital with periodic working time on a single machine," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 892-905, November.
    8. Yunqiang Yin & Jianyou Xu & T. C. E. Cheng & Chin‐Chia Wu & Du‐Juan Wang, 2016. "Approximation schemes for single‐machine scheduling with a fixed maintenance activity to minimize the total amount of late work," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(2), pages 172-183, March.
    9. R. Jamshidi & Mir Seyyed Esfahani, 2014. "Human resources scheduling to improve the product quality according to exhaustion limit," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 1028-1041, October.
    10. Xia, Tangbin & Jin, Xiaoning & Xi, Lifeng & Ni, Jun, 2015. "Production-driven opportunistic maintenance for batch production based on MAM–APB scheduling," European Journal of Operational Research, Elsevier, vol. 240(3), pages 781-790.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Wen-Jinn, 2009. "Minimizing number of tardy jobs on a single machine subject to periodic maintenance," Omega, Elsevier, vol. 37(3), pages 591-599, June.
    2. Wolter, Anja & Helber, Stefan, 2013. "Simultaneous Production and Maintenance Planning for a Single Capacitated Resource facing both a Dynamic Demand and Intensive Wear and Tear," Hannover Economic Papers (HEP) dp-522, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    3. Hoyningen-Huene, Wiebke von, 2015. "Heuristics for an Integrated Maintenance and Production Scheduling Problem on Parallel Machines with Stochastic Failures and Non-Resumable Jobs," EconStor Preprints 112746, ZBW - Leibniz Information Centre for Economics.
    4. von Hoyningen-Huene, W. & Kiesmüller, G.P., 2015. "Evaluation of the expected makespan of a set of non-resumable jobs on parallel machines with stochastic failures," European Journal of Operational Research, Elsevier, vol. 240(2), pages 439-446.
    5. Xiaoqiang Cai & Xianyi Wu & Xian Zhou, 2009. "Stochastic Scheduling Subject to Preemptive-Repeat Breakdowns with Incomplete Information," Operations Research, INFORMS, vol. 57(5), pages 1236-1249, October.
    6. J S Chen, 2006. "Single-machine scheduling with flexible and periodic maintenance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(6), pages 703-710, June.
    7. J-J Wang & J-B Wang & F Liu, 2011. "Parallel machines scheduling with a deteriorating maintenance activity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1898-1902, October.
    8. Xiaoqiang Cai & Xianyi Wu & Xian Zhou, 2021. "Optimal unrestricted dynamic stochastic scheduling with partial losses of work due to breakdowns," Annals of Operations Research, Springer, vol. 298(1), pages 43-64, March.
    9. Lodree Jr., Emmett J. & Geiger, Christopher D., 2010. "A note on the optimal sequence position for a rate-modifying activity under simple linear deterioration," European Journal of Operational Research, Elsevier, vol. 201(2), pages 644-648, March.
    10. Xiao, Lei & Zhang, Xinghui & Tang, Junxuan & Zhou, Yaqin, 2020. "Joint optimization of opportunistic maintenance and production scheduling considering batch production mode and varying operational conditions," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    11. Hanane Krim & Rachid Benmansour & David Duvivier & Daoud Aït-Kadi & Said Hanafi, 2020. "Heuristics for the single machine weighted sum of completion times scheduling problem with periodic maintenance," Computational Optimization and Applications, Springer, vol. 75(1), pages 291-320, January.
    12. Xiang Wu & Kanjian Zhang & Ming Cheng, 2017. "Computational method for optimal machine scheduling problem with maintenance and production," International Journal of Production Research, Taylor & Francis Journals, vol. 55(6), pages 1791-1814, March.
    13. Imed Kacem, 2009. "Approximation algorithms for the makespan minimization with positive tails on a single machine with a fixed non-availability interval," Journal of Combinatorial Optimization, Springer, vol. 17(2), pages 117-133, February.
    14. K. H. Adjallah & K. P. Adzakpa, 2007. "Minimizing maintenance cost involving flow-time and tardiness penalty with unequal release dates," Journal of Risk and Reliability, , vol. 221(1), pages 57-65, March.
    15. M. Selim Akturk & Jay B. Ghosh & Evrim D. Gunes, 2003. "Scheduling with tool changes to minimize total completion time: A study of heuristics and their performance," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(1), pages 15-30, February.
    16. Xinyu Sun & Tao Liu & Xin-Na Geng & Yang Hu & Jing-Xiao Xu, 2023. "Optimization of scheduling problems with deterioration effects and an optional maintenance activity," Journal of Scheduling, Springer, vol. 26(3), pages 251-266, June.
    17. Ali Salmasnia & Danial Mirabadi-Dastjerd, 2017. "Joint production and preventive maintenance scheduling for a single degraded machine by considering machine failures," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 544-578, October.
    18. Shijin Wang & Ming Liu, 2016. "Two-machine flow shop scheduling integrated with preventive maintenance planning," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(3), pages 672-690, February.
    19. G Mosheiov & J B Sidney, 2010. "Scheduling a deteriorating maintenance activity on a single machine," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 882-887, May.
    20. Hui Zhu & Min Li & Zhangjin Zhou & Yun You, 2016. "Due-window assignment and scheduling with general position-dependent processing times involving a deteriorating and compressible maintenance activity," International Journal of Production Research, Taylor & Francis Journals, vol. 54(12), pages 3475-3490, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pal:jorsoc:v:57:y:2006:i:4:d:10.1057_palgrave.jors.2601998. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.