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Performance evaluation of two Markovian retrial queueing model with balking and feedback Cover

Performance evaluation of two Markovian retrial queueing model with balking and feedback

By: A. A. Bouchentouf and  F. Belarbi  
Open Access
|Jun 2014

References

  1. [1] G. Arfken, Confluent hypergeometric functions in mathematical methods for physicists, 3rd ed. Academic Press, Orlando, (1985), 753-758.
  2. [2] E. Altman, A. A. Borokovoc, On the stability of retrial queues, Queueing Syst., 26 (1997), 343-363.10.1023/A:1019193527040
  3. [3] K. Avrachenkov, A. Dudin, V. Klimenok, Queueing Model MMAP/M 2/1 with Two Orbits, Lecture Notes in Comput. Sci., 6235 (2010), 107-118.10.1007/978-3-642-15428-7_12
  4. [4] B. D. Choi, Y. C. Kim, The M/M/c Retrial queue with geometric loss and feedback, Comput. Math. Appl., 36 (6) (1998), 41-52.10.1016/S0898-1221(98)00160-6
  5. [5] N. Ebrahimi, System reliability based on system wear, Stoch. Models, 22 (1) (2006), 21-36.10.1080/15326340500481713
  6. [6] G. I. Falin, A survey of retrial queues, Queueing Syst., 7 (2) (1990), 127-167.10.1007/BF01158472
  7. [7] G. I. Falin, J. R. Artalejo, An infinite source retrial queue, European J. Oper. Res., 108 (2) (1998), 409.10.1016/S0377-2217(97)00170-7
  8. [8] N. Gharbi, M. Ioualalen, GSPN analysis of retrial systems with server breakdowns and repairs, Appl. Math. Comput., 174 (2) (2006), 1151-1168.10.1016/j.amc.2005.06.005
  9. [9] F. A. Haight, Queueing with balking, Biometrika, 44 (1957), 360-369.10.1093/biomet/44.3-4.360
  10. [10] R. Kumar, S. K. Sharma, M/M/1/N Queuing system with retention of reneged customers, Pakistan J. Statist. Oper. Res., 8 (2012), 859-866.10.18187/pjsor.v8i4.408
  11. [11] R. Kumar, S. K. Sharma, An M/M/1/N Queuing model with retention of reneged customers and Balking, Amer. J. Oper. Res., 2 (1) (2012), 1-5.
  12. [12] L. Libman, A. Orda, Optimal retrial and timeout strategies for accessing network resources, IEEE/ACM Trans. on Networking, 10 (4) (2002), 551-564.10.1109/TNET.2002.801412
  13. [13] A. Papoulis, Probability random variables and stochastic processes, 2nd ed., McGraw-Hill, (1983).
  14. [14] S. K. Sharma, A Markovian feedback queue with retention of reneged customers and balking, Adv. Model. Optim., 14 (3) (2012), 681-688.
  15. [15] J. Walrand, Communication networks: a first course, The Aksen Associates Series in Electrical and Computer Engineering, Richard D. Irwin, Inc., and Aksen Associates, Inc., Homewood, IL and Boston,MA.(1991).
Language: English
Page range: 132 - 146
Submitted on: Nov 15, 2013
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Published on: Jun 6, 2014
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2014 A. A. Bouchentouf, F. Belarbi, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.