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Cyclic scheduling in flow lines: Modeling observations, effective heuristics and a cycle time minimization procedure

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  • Selcuk Karabati
  • Panagiotis Kouvelis

Abstract

In this paper we address the cyclic scheduling problem in flow lines. We develop a modeling framework and an integer programming formulation of the problem. We subsequently present exact and approximate solution procedures. The exact solution procedure is a branch‐and‐bound algorithm which uses Lagrangian and station‐based relaxations of the integer programming formulation of the problem as the lower bounding method. Our heuristic procedures show a performance superior to the available ones in the literature. Finally, we address the stability issue in cyclic scheduling, demonstrate its relationship to the work‐in‐progress inventory control of a flow line, and present a very simple procedure to generate stable schedules in flow lines. © 1996 John Wiley & Sons, Inc.

Suggested Citation

  • Selcuk Karabati & Panagiotis Kouvelis, 1996. "Cyclic scheduling in flow lines: Modeling observations, effective heuristics and a cycle time minimization procedure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(2), pages 211-231, March.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:2:p:211-231
    DOI: 10.1002/(SICI)1520-6750(199603)43:23.0.CO;2-D
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    References listed on IDEAS

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    1. S. Thomas McCormick & Michael L. Pinedo & Scott Shenker & Barry Wolf, 1989. "Sequencing in an Assembly Line with Blocking to Minimize Cycle Time," Operations Research, INFORMS, vol. 37(6), pages 925-935, December.
    2. Lei Lei & Tzyh-Jong Wang, 1991. "The Minimum Common-Cycle Algorithm for Cyclic Scheduling of Two Material Handling Hoists with Time Window Constraints," Management Science, INFORMS, vol. 37(12), pages 1629-1639, December.
    3. R. A. Bowman & J. A. Muckstadt, 1993. "Stochastic Analysis of Cyclic Schedules," Operations Research, INFORMS, vol. 41(5), pages 947-958, October.
    4. Robin Roundy, 1992. "Cyclic Schedules for Job Shops with Identical Jobs," Mathematics of Operations Research, INFORMS, vol. 17(4), pages 842-865, November.
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    Cited by:

    1. I.N. Kamal Abadi & Nicholas G. Hall & Chelliah Sriskandarajah, 2000. "Minimizing Cycle Time in a Blocking Flowshop," Operations Research, INFORMS, vol. 48(1), pages 177-180, February.
    2. Ada Che & Vladimir Kats & Eugene Levner, 2011. "Cyclic scheduling in robotic flowshops with bounded work‐in‐process levels," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(1), pages 1-16, February.
    3. Nouha Nouri & Talel Ladhari, 2018. "Evolutionary multiobjective optimization for the multi-machine flow shop scheduling problem under blocking," Annals of Operations Research, Springer, vol. 267(1), pages 413-430, August.
    4. Lopes, Thiago Cantos & Michels, Adalberto Sato & Sikora, Celso Gustavo Stall & Molina, Rafael Gobbi & Magatão, Leandro, 2018. "Balancing and cyclically sequencing synchronous, asynchronous, and hybrid unpaced assembly lines," International Journal of Production Economics, Elsevier, vol. 203(C), pages 216-224.
    5. Lin, Shih-Wei & Ying, Kuo-Ching, 2013. "Minimizing makespan in a blocking flowshop using a revised artificial immune system algorithm," Omega, Elsevier, vol. 41(2), pages 383-389.

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