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Hybrid flow shop scheduling with parallel batching

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  • Amin-Naseri, Mohammad Reza
  • Beheshti-Nia, Mohammad Ali

Abstract

In this research the problem of parallel batch scheduling in a hybrid flow shop environment with minimizing Cmax is studied. In parallel batching it is assumed that machines in some stages are able to process a number of operations simultaneously. Since the problem is NP-hard, three heuristic algorithms are developed to give near optimal solutions. Since this problem has not been studied previously, therefore, a lower bound is developed for evaluating the performance of the proposed heuristics. Several test problems have been solved using these heuristics and results compared. To further enhance the solution quality, a three dimensional genetic algorithm (3DGA) is also developed. Several test problems have been solved using 3DGA and the results indicate its superiority to the other heuristics.

Suggested Citation

  • Amin-Naseri, Mohammad Reza & Beheshti-Nia, Mohammad Ali, 2009. "Hybrid flow shop scheduling with parallel batching," International Journal of Production Economics, Elsevier, vol. 117(1), pages 185-196, January.
  • Handle: RePEc:eee:proeco:v:117:y:2009:i:1:p:185-196
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    References listed on IDEAS

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    1. Valerie Botta-Genoulaz, 2000. "Hybrid flow shop scheduling with precedence constraints and time lags to minimize maximum lateness," Post-Print hal-00398647, HAL.
    2. Li, Wenhua & Yuan, Jinjiang, 2006. "Single machine parallel batch scheduling problem with release dates and three hierarchical criteria to minimize makespan, machine occupation time and stocking cost," International Journal of Production Economics, Elsevier, vol. 102(1), pages 143-148, July.
    3. Clyde L. Monma & Chris N. Potts, 1989. "On the Complexity of Scheduling with Batch Setup Times," Operations Research, INFORMS, vol. 37(5), pages 798-804, October.
    4. Thornton, Henry W. & Hunsucker, John L., 2004. "A new heuristic for minimal makespan in flow shops with multiple processors and no intermediate storage," European Journal of Operational Research, Elsevier, vol. 152(1), pages 96-114, January.
    5. Kurz, Mary E. & Askin, Ronald G., 2003. "Comparing scheduling rules for flexible flow lines," International Journal of Production Economics, Elsevier, vol. 85(3), pages 371-388, September.
    6. Kyparisis, George J. & Koulamas, Christos, 2006. "Flexible flow shop scheduling with uniform parallel machines," European Journal of Operational Research, Elsevier, vol. 168(3), pages 985-997, February.
    7. Janiak, Adam & Kozan, Erhan & Lichtenstein, Maciej & Oguz, Ceyda, 2007. "Metaheuristic approaches to the hybrid flow shop scheduling problem with a cost-related criterion," International Journal of Production Economics, Elsevier, vol. 105(2), pages 407-424, February.
    8. Lin, Hung-Tso & Liao, Ching-Jong, 2003. "A case study in a two-stage hybrid flow shop with setup time and dedicated machines," International Journal of Production Economics, Elsevier, vol. 86(2), pages 133-143, November.
    9. Nong, Qingqin & Yuan, Jinjiang & Fu, Ruyan & Lin, Lin & Tian, Ji, 2008. "The single-machine parallel-batching on-line scheduling problem with family jobs to minimize makespan," International Journal of Production Economics, Elsevier, vol. 111(2), pages 435-440, February.
    10. Quadt, Daniel & Kuhn, Heinrich, 2007. "Batch scheduling of jobs with identical process times on flexible flow lines," International Journal of Production Economics, Elsevier, vol. 105(2), pages 385-401, February.
    11. Logendran, Rasaratnam & deSzoeke, Paula & Barnard, Faith, 2006. "Sequence-dependent group scheduling problems in flexible flow shops," International Journal of Production Economics, Elsevier, vol. 102(1), pages 66-86, July.
    12. Logendran, Rasaratnam & Carson, Sara & Hanson, Erik, 2005. "Group scheduling in flexible flow shops," International Journal of Production Economics, Elsevier, vol. 96(2), pages 143-155, May.
    13. Kurz, Mary E. & Askin, Ronald G., 2004. "Scheduling flexible flow lines with sequence-dependent setup times," European Journal of Operational Research, Elsevier, vol. 159(1), pages 66-82, November.
    14. Clyde L. Monma & Chris N. Potts, 1993. "Analysis of Heuristics for Preemptive Parallel Machine Scheduling with Batch Setup Times," Operations Research, INFORMS, vol. 41(5), pages 981-993, October.
    15. Oguz, Ceyda & Zinder, Yakov & Ha Do, Van & Janiak, Adam & Lichtenstein, Maciej, 2004. "Hybrid flow-shop scheduling problems with multiprocessor task systems," European Journal of Operational Research, Elsevier, vol. 152(1), pages 115-131, January.
    16. Botta-Genoulaz, Valerie, 2000. "Hybrid flow shop scheduling with precedence constraints and time lags to minimize maximum lateness," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 101-111, March.
    17. Bertel, S. & Billaut, J. -C., 2004. "A genetic algorithm for an industrial multiprocessor flow shop scheduling problem with recirculation," European Journal of Operational Research, Elsevier, vol. 159(3), pages 651-662, December.
    18. Vo[ss], Stefan & Witt, Andreas, 2007. "Hybrid flow shop scheduling as a multi-mode multi-project scheduling problem with batching requirements: A real-world application," International Journal of Production Economics, Elsevier, vol. 105(2), pages 445-458, February.
    19. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    20. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
    21. Scott Webster & Kenneth R. Baker, 1995. "Scheduling Groups of Jobs on a Single Machine," Operations Research, INFORMS, vol. 43(4), pages 692-703, August.
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    Cited by:

    1. Li, Shisheng & Ng, C.T. & Yuan, Jinjiang, 2011. "Group scheduling and due date assignment on a single machine," International Journal of Production Economics, Elsevier, vol. 130(2), pages 230-235, April.
    2. Yi Tan & Lars Mönch & John W. Fowler, 2018. "A hybrid scheduling approach for a two-stage flexible flow shop with batch processing machines," Journal of Scheduling, Springer, vol. 21(2), pages 209-226, April.
    3. Christoph Hertrich & Christian Weiß & Heiner Ackermann & Sandy Heydrich & Sven O. Krumke, 2022. "Online algorithms to schedule a proportionate flexible flow shop of batching machines," Journal of Scheduling, Springer, vol. 25(6), pages 643-657, December.
    4. Fowler, John W. & Mönch, Lars, 2022. "A survey of scheduling with parallel batch (p-batch) processing," European Journal of Operational Research, Elsevier, vol. 298(1), pages 1-24.
    5. A. G. Leeftink & R. J. Boucherie & E. W. Hans & M. A. M. Verdaasdonk & I. M. H. Vliegen & P. J. Diest, 2018. "Batch scheduling in the histopathology laboratory," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 171-197, June.
    6. Ming Liu & Xuenan Yang & Jiantong Zhang & Chengbin Chu, 2017. "Scheduling a tempered glass manufacturing system: a three-stage hybrid flow shop model," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 6084-6107, October.

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