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Performance and economic analysis of Markovian Bernoulli feedback queueing system with vacations, waiting server and impatient customers Cover

Performance and economic analysis of Markovian Bernoulli feedback queueing system with vacations, waiting server and impatient customers

Open Access
|Mar 2019

References

  1. [1] I. Adan, A. Economou, S. Kapodistria, Synchronized reneging in queueing systems with vacations, Queueing Syst, 62 (1-2) (2009), 1–33.10.1007/s11134-009-9112-2
  2. [2] E. Altman, U. Yechiali, Analysis of customers’ impatience in queues with server vacation, Queueing Syst, 52 (4) (2006), 261–279.10.1007/s11134-006-6134-x
  3. [3] E. Altman, U. Yechiali, Infinite server queues with systems’ additional task and impatient customers, Probab. Eng. Inf. Sci, 22 (4) (2008), 477–493.10.1017/S0269964808000296
  4. [4] S. I. Ammar, Transient analysis of an M/M/1 queue with impatient behavior and multiple vacations, Appl. Math. Comput, 260 (C) (2015), 97–105.10.1016/j.amc.2015.03.066
  5. [5] S. I. Ammar, Transient solution of an M/M/1 vacation queue with a waiting server and impatient customers, Journal of the Egyptian Mathematical Society, 25 (3) (2017), 337–342.10.1016/j.joems.2016.09.002
  6. [6] J. Baek, O. Dudina, C. Kim, A queueing system with heterogeneous impatient customers and consumable additional items, Int. J. Appl. Math. Comput. Sci.,27 (2) (2017), 367–384.10.1515/amcs-2017-0026
  7. [7] A. A. Bouchentouf, M. Kadi, A. Rabhi, Analysis of two heterogeneous server queueing model with balking, reneging and feedback, Math. Sci. Appl. E Notes, 2 (2) (2014), 10–21.
  8. [8] A. A. Bouchentouf, A. Messabihi, Heterogeneous two-server queueing system with reverse balking and reneging, OPSEARCH, 55 (2) (2018), 251–267.10.1007/s12597-017-0319-4
  9. [9] B. T. Doshi, Queueing systems with vacations-A survey Queueing Syst, 1 (1) (1986), 29–66.10.1007/BF01149327
  10. [10] M. S. El-Paoumy, H. A. Nabwey, The Poissonian Queue with Balking Function, Reneging and two Heterogeneous Servers, International Journal of Basic and Applied Sciences, 11 (6) (2011), 149–152.
  11. [11] J. C. Ke, C. H. Wu, Z. G. Zhang, Recent development in vacation queueing models: a short survey, Int. J. Oper. Res., 7 (4) (2010), 3–8.
  12. [12] R. Kumar, N. K. Jain, B. K. Som, Optimization of an M/M/1/N feedback queue with retention of reneged customers, Operations research and decisions, 24 (3) (2014), 45–58.
  13. [13] R. Kumar, S. K. Sharma, A Multi-Server Markovian Feedback Queue with Balking Reneging and Retention of Reneged Customers, AMO-Advanced Modeling and Optimization, 16 (2) (2014), 395–406.
  14. [14] R. Padmavathy, K. Kalidass, K. Ramanath, Vacation queues with impatient customers and a waiting server, Int. Jour. of Latest Trends in Soft. Eng., 1 (1) (2011), 10–19.
  15. [15] Y. W. Shin, T. S. Choo, M/M/s queue with impatient customers and retrials, Applied Mathematical Modelling,33 (6) (2009), 2596–2606.10.1016/j.apm.2008.07.018
  16. [16] H. Takagi, Queueing Analysis: A Foundation of Performance Evaluation, Volume 1: Vacation and Priority System, Elsevier, Amsterdam, (1991).
  17. [17] N. Tian, Z. Zhang, Vacation Queueing Models-Theory and Applications, Springer-Verlag, New York, (2006).10.1007/978-0-387-33723-4
  18. [18] K. H. Wang, Y. C. Chang, Cost analysis of a finite M/M/R queueing system with balking, reneging and server breakdowns, Mathematical Methods of OR, 56 (2) (2002), 169–180.10.1007/s001860200206
  19. [19] C. H. Wu, J. C. Ke, Computational algorithm and parameter optimization for a multi-server system with unreliable servers and impatient customers, J. Comput. Appl. Math., 235 (2010), 547–562.10.1016/j.cam.2010.06.005
  20. [20] D. Yue, Y. Zhang, W. Yue, Optimal performance analysis of an M/M/1/N queue system with balking, reneging and server vacation, International Journal of Pure and Applied Mathematics, 28 (1) (2006), 101–115.
  21. [21] D. Yue, W. Yue, Z. Saffer, X. Chen, Analysis of an M/M/1 queueing system with impatient customers and a variant of multiple vacation policy, Journal of Industrial & Management Optimization, 10 (1) (2014), 89–112.10.3934/jimo.2014.10.89
  22. [22] D. Yue, W. Yue, G. Zhao, Analysis of an M/M/1 queue with vacations and impatience timers which depend on the server’s states, Journal of Industrial and Management Optimization, 12 (2) (2016), 653–666.10.3934/jimo.2016.12.653
Language: English
Page range: 218 - 241
Submitted on: Jul 21, 2017
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Published on: Mar 4, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2019 Amina Angelika Bouchentouf, Abdelhak Guendouzi, Abdeldjebbar Kandouci, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.