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Expected Waiting Time for Nonsymmetric Cyclic Queueing Systems---Exact Results and Applications


Author Info

  • D. Sarkar

    (AT&T Bell Laboratories, Crawfords Corner Road, Holmdel, New Jersey 07733)

  • W. I. Zangwill

    (Graduate School of Business, University of Chicago, Chicago, Illinois 60637)


This paper provides the expected waiting time of a nonsymmetric cyclic server queueing system with Poisson traffic, arbitrary switchover and arbitrary service times. For n the number of queues, the expected waiting time is obtained using n equations which is a significant improvement over the previous best result which requires solution of n 2 equations. Computer, manufacturing and other applications are discussed.

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Bibliographic Info

Article provided by INFORMS in its journal Management Science.

Volume (Year): 35 (1989)
Issue (Month): 12 (December)
Pages: 1463-1474

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Handle: RePEc:inm:ormnsc:v:35:y:1989:i:12:p:1463-1474

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Keywords: queueing; waiting times; cyclic queueing: complexity; applications; performance modelling: local area network; inventory: stochastic multiproduct systems;


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Cited by:
  1. Sharafali, Moosa & Co, Henry C. & Goh, Mark, 2004. "Production scheduling in a flexible manufacturing system under random demand," European Journal of Operational Research, Elsevier, vol. 158(1), pages 89-102, October.
  2. Broersma, Andreas L. A. & Sierksma, Gerard & Wijngaard, Jacob, 2002. "Decomposed vs integrated control of a one-stage production system," European Journal of Operational Research, Elsevier, vol. 138(3), pages 569-577, May.
  3. Broersma, A.L.A. & Sierksma, G. & Wijngaard, J., 1999. "Decomposed versus integrated control of a one-stage production system," Research Report 99A18, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
  4. Kamath B, Narasimha & Bhattacharya, Subir, 2007. "Lead time minimization of a multi-product, single-processor system: A comparison of cyclic policies," International Journal of Production Economics, Elsevier, vol. 106(1), pages 28-40, March.
  5. Gupta, Diwakar & Gunalay, Yavuz & Srinivasan, Mandyam M., 2001. "The relationship between preventive maintenance and manufacturing system performance," European Journal of Operational Research, Elsevier, vol. 132(1), pages 146-162, July.


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