IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v36y2008i5p888-894.html
   My bibliography  Save this article

Optimization models for the tool change scheduling problem

Author

Listed:
  • Chen, Jen-Shiang

Abstract

Traditional machine scheduling literature generally assumes that a machine is available at all times. Yet this assumption may not be accurate in real manufacturing systems. In many cases, a machine's tool must be changed after it has continuously worked for a period of time. This paper deals with a single machine scheduling problem subject to tool wear, given the allowed maximum continuous working time of the machine is TL (tool life) and the tool change time is TC. Job processing and tool changes are scheduled simultaneously. In this paper, we examine this problem to minimize the total tardiness of jobs. Two mixed binary integer programming models are developed to optimally solve this problem. Computational experiments are performed to evaluate the models' efficiency.

Suggested Citation

  • Chen, Jen-Shiang, 2008. "Optimization models for the tool change scheduling problem," Omega, Elsevier, vol. 36(5), pages 888-894, October.
    • Handle: RePEc:eee:jomega:v:36:y:2008:i:5:p:888-894
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(06)00040-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Akturk, M. Selim & Ghosh, Jay B. & Gunes, Evrim D., 2004. "Scheduling with tool changes to minimize total completion time: Basic results and SPT performance," European Journal of Operational Research, Elsevier, vol. 157(3), pages 784-790, September.
    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. Yang, Suh-Jenq & Yang, Dar-Li, 2010. "Minimizing the makespan on single-machine scheduling with aging effect and variable maintenance activities," Omega, Elsevier, vol. 38(6), pages 528-533, December.
    2. Xu, Dehua & Wan, Long & Liu, Aihua & Yang, Dar-Li, 2015. "Single machine total completion time scheduling problem with workload-dependent maintenance duration," Omega, Elsevier, vol. 52(C), pages 101-106.
    3. Cha, Young-Ho & Kim, Yeong-Dae, 2010. "Fire scheduling for planned artillery attack operations under time-dependent destruction probabilities," Omega, Elsevier, vol. 38(5), pages 383-392, October.
    4. Zhijun Xu & Dehua Xu, 2018. "Single-machine scheduling with workload-dependent tool change durations and equal processing time jobs to minimize total completion time," Journal of Scheduling, Springer, vol. 21(4), pages 461-482, August.
    5. Xu, Dehua & Liu, Min & Yin, Yunqiang & Hao, Jinghua, 2013. "Scheduling tool changes and special jobs on a single machine to minimize makespan," Omega, Elsevier, vol. 41(2), pages 299-304.
    6. Patiño Rodriguez, Carmen Elena & Francisco Martha de Souza, Gilberto, 2010. "Reliability concepts applied to cutting tool change time," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 866-873.
    7. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Single machine scheduling with general positional deterioration and rate-modifying maintenance," Omega, Elsevier, vol. 40(6), pages 791-804.
    8. Maciej Drozdowski & Florian Jaehn & Radosław Paszkowski, 2017. "Scheduling Position-Dependent Maintenance Operations," Operations Research, INFORMS, vol. 65(6), pages 1657-1677, December.
    9. Janiak, Adam & Rudek, RadosLaw, 2010. "A note on a makespan minimization problem with a multi-ability learning effect," Omega, Elsevier, vol. 38(3-4), pages 213-217, June.

    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. Xu, Dehua & Liu, Min & Yin, Yunqiang & Hao, Jinghua, 2013. "Scheduling tool changes and special jobs on a single machine to minimize makespan," Omega, Elsevier, vol. 41(2), pages 299-304.
    2. Xu, Dehua & Wan, Long & Liu, Aihua & Yang, Dar-Li, 2015. "Single machine total completion time scheduling problem with workload-dependent maintenance duration," Omega, Elsevier, vol. 52(C), pages 101-106.
    3. 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.
    4. 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.
    5. Zhijun Xu & Dehua Xu, 2018. "Single-machine scheduling with workload-dependent tool change durations and equal processing time jobs to minimize total completion time," Journal of Scheduling, Springer, vol. 21(4), pages 461-482, August.
    6. 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.
    7. Allaoui, H. & Lamouri, S. & Artiba, A. & Aghezzaf, E., 2008. "Simultaneously scheduling n jobs and the preventive maintenance on the two-machine flow shop to minimize the makespan," International Journal of Production Economics, Elsevier, vol. 112(1), pages 161-167, March.
    8. 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).
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. A Janiak & R Rudek, 2010. "Scheduling jobs under an aging effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(6), pages 1041-1048, June.
    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. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.

    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:eee:jomega:v:36:y:2008:i:5:p:888-894. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    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.