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Taxonomy of batch queueing models in manufacturing systems

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  • Wu, Kan

Abstract

Batching plays an important role in performance evaluation of manufacturing systems. Three types of batching are commonly seen: transfer batches, parallel batches and serial batches. To model the batching behavior correctly, a comprehensive classification of batching is proposed. Eight types of batching behavior are classified and corresponding queueing models are given. The newly proposed models are validated by simulation.

Suggested Citation

  • Wu, Kan, 2014. "Taxonomy of batch queueing models in manufacturing systems," European Journal of Operational Research, Elsevier, vol. 237(1), pages 129-135.
  • Handle: RePEc:eee:ejores:v:237:y:2014:i:1:p:129-135
    DOI: 10.1016/j.ejor.2014.02.004
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    References listed on IDEAS

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    1. Liu, Jialu & Yang, Sheng & Wu, Aiguo & Hu, S. Jack, 2012. "Multi-state throughput analysis of a two-stage manufacturing system with parallel unreliable machines and a finite buffer," European Journal of Operational Research, Elsevier, vol. 219(2), pages 296-304.
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    4. Wu, Kan & McGinnis, Leon, 2012. "Performance evaluation for general queueing networks in manufacturing systems: Characterizing the trade-off between queue time and utilization," European Journal of Operational Research, Elsevier, vol. 221(2), pages 328-339.
    5. Singha Chiamsiri & Michael S. Leonard, 1981. "A Diffusion Approximation for Bulk Queues," Management Science, INFORMS, vol. 27(10), pages 1188-1199, October.
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    7. Hirotaka Sakasegawa, 1977. "An approximation formulaL q ≃α·ρ β /(1-ρ)," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 29(1), pages 67-75, December.
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    Cited by:

    1. Wu, Kan & Huang, Edward & Wang, Mengchang & Zheng, Meimei, 2022. "Job scheduling of diffusion furnaces in semiconductor fabrication facilities," European Journal of Operational Research, Elsevier, vol. 301(1), pages 141-152.
    2. Chen, Wenliang & Wang, Zheng & Chan, Felix T.S., 2017. "Robust production capacity planning under uncertain wafer lots transfer probabilities for semiconductor automated material handling systems," European Journal of Operational Research, Elsevier, vol. 261(3), pages 929-940.
    3. 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.
    4. Wu, Kan & Zhao, Ning, 2015. "Dependence among single stations in series and its applications in productivity improvement," European Journal of Operational Research, Elsevier, vol. 247(1), pages 245-258.

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