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On multiserver feedback retrial queues with balking and control retrial rate

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  • B. Kumar
  • J Raja

Abstract

This paper discusses multiserver feedback retrial queues with balking and control retrial rate. This system is analyzed as a quasi-birth-and-death (QBD) process and the necessary and sufficient condition for stability of the system is discussed. Some interesting system performance measures are obtained using matrix geometric method. The effects of various parameters on the system performance measures are illustrated numerically. Finally, the optimization of the retrial rate and specific probabilistic descriptors of the system are investigated. Copyright Springer Science + Business Media, Inc. 2006

Suggested Citation

  • B. Kumar & J Raja, 2006. "On multiserver feedback retrial queues with balking and control retrial rate," Annals of Operations Research, Springer, vol. 141(1), pages 211-232, January.
    • Handle: RePEc:spr:annopr:v:141:y:2006:i:1:p:211-232:10.1007/s10479-006-5300-1
    DOI: 10.1007/s10479-006-5300-1
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    Citations

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    Cited by:

    1. Konstantin Avrachenkov & Evsey Morozov, 2014. "Stability analysis of GI/GI/c/K retrial queue with constant retrial rate," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(3), pages 273-291, June.
    2. 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.
    3. B. Krishna Kumar & A. Thanikachalam & V. Kanakasabapathi & R. Rukmani, 2016. "Performance analysis of a multiprogramming–multiprocessor retrial queueing system with orderly reattempts," Annals of Operations Research, Springer, vol. 247(1), pages 319-364, December.
    4. B. Krishna Kumar & R. Sankar & R. Navaneetha Krishnan & R. Rukmani, 2023. "Multiserver call center retrial queue under Bernoulli vacation schedule with two-way communication and orbital search," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 84(1), pages 23-51, September.
    5. Tuan Phung-Duc & Wouter Rogiest & Yutaka Takahashi & Herwig Bruneel, 2016. "Retrial queues with balanced call blending: analysis of single-server and multiserver model," Annals of Operations Research, Springer, vol. 239(2), pages 429-449, April.
    6. 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.
    7. Rakesh Kumar & Sapana Sharma, 2021. "Transient analysis of a Markovian queuing model with multiple-heterogeneous servers, and customers’ impatience," OPSEARCH, Springer;Operational Research Society of India, vol. 58(3), pages 540-556, September.
    8. M. Amirthakodi & V. Radhamani & B. Sivakumar, 2015. "A perishable inventory system with service facility and feedback customers," Annals of Operations Research, Springer, vol. 233(1), pages 25-55, October.

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