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A Variable Buffer-Size Model and Its Use in Analyzing Closed Queueing Networks with Blocking

Author

Listed:
  • Rajan Suri

    (Division of Applied Sciences, Harvard University, Cambridge, Massachusetts 02138)

  • Gregory W. Diehl

    (Division of Applied Sciences, Harvard University, Cambridge, Massachusetts 02138)

Abstract

We present a model which enables efficient analysis of certain types of closed queueing networks with blocking due to limited buffer spaces. The networks analyzed are those in which the limited buffers occur in tandem subnetworks. A new model, with variable buffer-size, is introduced as a conceptual tool to model part of a tandem network with blocking, using only product-form submodels. Using this model we iteratively solve for the whole network. The technique is illustrated first for a simple system with tandem queues, and then for more complex systems. The method is compared with exact solutions or simulations, and found to be reasonably accurate. The method is easily implemented using standard software for closed queueing networks. Given the complexity of the blocking problem, our approach offers a simple and efficient alternative to exact analysis.

Suggested Citation

  • Rajan Suri & Gregory W. Diehl, 1986. "A Variable Buffer-Size Model and Its Use in Analyzing Closed Queueing Networks with Blocking," Management Science, INFORMS, vol. 32(2), pages 206-224, February.
    • Handle: RePEc:inm:ormnsc:v:32:y:1986:i:2:p:206-224
    DOI: 10.1287/mnsc.32.2.206
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    Citations

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    Cited by:

    1. Suliman, S. M. A., 2000. "A mathematical model for a buffered two-stage manufacturing cell with an unreliable transfer device," International Journal of Production Economics, Elsevier, vol. 63(1), pages 69-81, January.
    2. Bolat, Ahmet, 1997. "Sequencing jobs for an automated manufacturing module with buffer," European Journal of Operational Research, Elsevier, vol. 96(3), pages 622-635, February.
    3. Radovilsky, Zinovy D., 1998. "A quantitative approach to estimate the size of the time buffer in the theory of constraints," International Journal of Production Economics, Elsevier, vol. 55(2), pages 113-119, July.
    4. Subba Rao, S. & Gunasekaran, A. & Goyal, S. K. & Martikainen, T., 1998. "Waiting line model applications in manufacturing," International Journal of Production Economics, Elsevier, vol. 54(1), pages 1-28, January.

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