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An M/G/1 Retrial Queueing System with Two-Phase Service and Preemptive Resume

Author

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  • B. Kumar
  • A. Vijayakumar
  • D. Arivudainambi

Abstract

An M/G/1 retrial queueing system with additional phase of service and possible preemptive resume service discipline is considered. For an arbitrarily distributed retrial time distribution, the necessary and sufficient condition for the system stability is obtained, assuming that only the customer at the head of the orbit has priority access to the server. The steady-state distributions of the server state and the number of customers in the orbit are obtained along with other performance measures. The effects of various parameters on the system performance are analysed numerically. A general decomposition law for this retrial queueing system is established. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • B. Kumar & A. Vijayakumar & D. Arivudainambi, 2002. "An M/G/1 Retrial Queueing System with Two-Phase Service and Preemptive Resume," Annals of Operations Research, Springer, vol. 113(1), pages 61-79, July.
    • Handle: RePEc:spr:annopr:v:113:y:2002:i:1:p:61-79:10.1023/a:1020901710087
    DOI: 10.1023/A:1020901710087
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    Citations

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    Cited by:

    1. Ioannis Dimitriou, 2016. "A queueing model with two classes of retrial customers and paired services," Annals of Operations Research, Springer, vol. 238(1), pages 123-143, March.
    2. Shan Gao & Jinting Wang & Tien Van Do, 2016. "A repairable retrial queue under Bernoulli schedule and general retrial policy," Annals of Operations Research, Springer, vol. 247(1), pages 169-192, December.
    3. Langaris, Christos & Dimitriou, Ioannis, 2010. "A queueing system with n-phases of service and (n-1)-types of retrial customers," European Journal of Operational Research, Elsevier, vol. 205(3), pages 638-649, September.
    4. Ning Zhao & Zhaotong Lian & Kan Wu, 2015. "Analysis of a MAP/PH/1 Queue with Discretionary Priority Based on Service Stages," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-22, December.
    5. Ioannis Dimitriou, 2016. "A queueing model with two classes of retrial customers and paired services," Annals of Operations Research, Springer, vol. 238(1), pages 123-143, March.
    6. Samira Taleb & Amar Aissani, 2016. "Preventive maintenance in an unreliable M/G/1 retrial queue with persistent and impatient customers," Annals of Operations Research, Springer, vol. 247(1), pages 291-317, December.

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