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Approximations for Networks of Queues with Overtime

Author

Listed:
  • Gabriel R. Bitran

    (Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

  • Devanath Tirupati

    (Department of Management, The University of Texas at Austin, Austin, Texas 78712)

Abstract

This paper presents simple approximations for networks of queues with overtime operation at some stations. This type of network is commonly encountered in several manufacturing applications. We provide bounds on the performance of the approximations for single and multiple machine stations. Our results suggest that the methods perform satisfactorily. These approximations can be used in conjunction with parametric decomposition methods to analyze queueing networks. The computational results indicate that the performance of the decomposition approach does not deteriorate when combined with the methods proposed in this paper.

Suggested Citation

  • Gabriel R. Bitran & Devanath Tirupati, 1991. "Approximations for Networks of Queues with Overtime," Management Science, INFORMS, vol. 37(3), pages 282-300, March.
    • Handle: RePEc:inm:ormnsc:v:37:y:1991:i:3:p:282-300
    DOI: 10.1287/mnsc.37.3.282
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    Citations

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    Cited by:

    1. Stefan Creemers & Marc Lambrecht, 2010. "Queueing models for appointment-driven systems," Annals of Operations Research, Springer, vol. 178(1), pages 155-172, July.
    2. Aouam, Tarik & Kumar, Kunal, 2019. "On the effect of overtime and subcontracting on supply chain safety stocks," Omega, Elsevier, vol. 89(C), pages 1-20.
    3. Bitran, Gabriel R. & Morabito, Reinaldo., 1994. "Open queueing networks : optimization and performance evaluation models for discrete manufacturing systems," Working papers 3743-94., Massachusetts Institute of Technology (MIT), Sloan School of Management.

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