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

Author

Listed:
  • 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)

Abstract

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.

Suggested Citation

  • D. Sarkar & W. I. Zangwill, 1989. "Expected Waiting Time for Nonsymmetric Cyclic Queueing Systems---Exact Results and Applications," Management Science, INFORMS, vol. 35(12), pages 1463-1474, December.
    • Handle: RePEc:inm:ormnsc:v:35:y:1989:i:12:p:1463-1474
    DOI: 10.1287/mnsc.35.12.1463
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    Citations

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    Cited by:

    1. 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).
    2. 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.
    3. Robert B. Cooper & Shun-Chen Niu & Mandyam M. Srinivasan, 1998. "When Does Forced Idle Time Improve Performance in Polling Models?," Management Science, INFORMS, vol. 44(8), pages 1079-1086, August.
    4. Mandyam M. Srinivasan & Hanoch Levy & Alan G. Konheim, 1996. "The individual station technique for the analysis of cyclic polling systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(1), pages 79-101, February.
    5. 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.
    6. 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.
    7. Tetsuji Hirayama, 2012. "Analysis of multiclass Markovian polling systems with feedback and composite scheduling algorithms," Annals of Operations Research, Springer, vol. 198(1), pages 83-123, September.
    8. repec:dgr:rugsom:99a18 is not listed on IDEAS
    9. 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.
    10. Subhashish Samaddar & Thomas Whalen, 2008. "Improving Performance in Cyclic Production Systems by Using Forced Variable Idle Setup Time," Manufacturing & Service Operations Management, INFORMS, vol. 10(2), pages 173-180, August.
    11. Jin Xu & Natarajan Gautam, 2020. "On competitive analysis for polling systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(6), pages 404-419, September.
    12. Rappold, James A. & Yoho, Keenan D., 2014. "Setting safety stocks for stable rotation cycle schedules," International Journal of Production Economics, Elsevier, vol. 156(C), pages 146-158.

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