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http://dx.doi.org/10.14317/jami.2012.30.3_4.531

INTERPOLATION APPROXIMATION OF $M/G/c/K$ RETRIAL QUEUE WITH ORDINARY QUEUES  

Shin, Yang-Woo (Department of Statistics, Changwon National University)
Publication Information
Journal of applied mathematics & informatics / v.30, no.3_4, 2012 , pp. 531-540 More about this Journal
Abstract
An approximation for the number of customers at service facility in $M/G/c/K$ retrial queue is provided with the help of the approximations of ordinary $M/G/c/K$ loss system and ordinary $M/G/c$ queue. The interpolation between two ordinary systems is used for the approximation.
Keywords
retrial queue; finite buffer; loss system; interpolation;
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  • Reference
1 J. R. Artalejo and A. Gomez-Corral, Retrial Queueing Systems, A Computational Approach, Springer-Verlag, Berlin, 2008.
2 G. I. Falin and J. G. C. Templeton, Retrial Queues, Chapman and Hall, London, 1997.
3 B. S. Greenberg and R. W. Wolff, An upper bound on the performance of queues with returning customer, J. Appl. Probab. 24 (1987), 466 - 475.   DOI
4 A. A. Fredericks and G. A. Reisner, Approximations to stochastic service systems with an application to a retrial model, Bell Sys. Tech. J. 58 (1979), 557 - 576.   DOI
5 J. Riordan, Stochastic Service Systems, Wiley, Nework, 1962.
6 H. C. Tijms, M. H. Van Hoorn and A. Federgruen, Approximations for the steady-state probabilities in the M/G/c queue, Adv. Appl. Probab. 13 (1981), 186 - 206.   DOI
7 H. C. Tijms, A First Course in Stochastic Models, John Wiley & Sons, 2003.
8 M. Miyazawa, Approximation of the queue-length distribution of an M/G/s queue by the basic equations, J. Appl. Probab. 23 (1986), 443 - 458.   DOI
9 D. W. Choi, N. K. Kim and K. C. Chae, A two-moment approximation for the GI/G/c queue with finite capacity, INFORMS J. on Computing 17 (2005), 75 - 81   DOI
10 Y. W. Shin, Monotonicity properties in various retrial queues and their applications, Queueing Systems 53 (2006), 147 - 157   DOI