Stability analysis of GI/GI/c/K retrial queue with constant retrial rate
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DOI: 10.1007/s00186-014-0463-z
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- R. Lillo, 1996. "A G/M/1-queue with exponential retrial," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 4(1), pages 99-120, June.
- 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.
- Artalejo, J. R. & Gomez-Corral, A. & Neuts, M. F., 2001. "Analysis of multiserver queues with constant retrial rate," European Journal of Operational Research, Elsevier, vol. 135(3), pages 569-581, December.
- Karl Sigman, 1990. "One-Dependent Regenerative Processes and Queues in Continuous Time," Mathematics of Operations Research, INFORMS, vol. 15(1), pages 175-189, February.
- Efrosinin, Dmitry & Winkler, Anastasia, 2011. "Queueing system with a constant retrial rate, non-reliable server and threshold-based recovery," European Journal of Operational Research, Elsevier, vol. 210(3), pages 594-605, May.
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Cited by:
- Konstantin Avrachenkov, 2022. "Stability and partial instability of multi-class retrial queues," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 177-179, April.
- 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.
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More about this item
Keywords
Retrial queue; GI/GI/c/K-type queue ; Constant retrial rate; Stability conditions; Regenerative approach; 60K25; 60K05; 90B22;All these keywords.
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