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Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience

Year 2013, Volume: 6 Issue: 1, 42 - 55, 01.01.2013

Abstract

In the analysis of reneging behavior, one approach is to assume random patience time. Each customer is assumed to follow identical distribution of patience time. However, there are many real life queuing systems where this assumption is not satisfied. Customers waiting in the system are often aware of their position in it and hence the reneging rate varies with the position of the customer in the system. This paper is an attempt to model such a reneging phenomena along with balking. Explicit closed form expressions of a number of performance measures have been presented. A numerical example with design aspects has also been presented to demonstrate the results derived.

References

  • Altman, E. and Yechiali, U. (2008). Infinite- Server Queues with System’s Additional Tasks and Impatient Customers. Probability in the Engineering and Informational Sciences, Vol. 22, No. 4, pp: 477-493.
  • Al-Seedy, R. O. and Al-Ibraheem, F. M. (2001). An Interarrival Hyperexponential Machine Interference with Balking, Reneging, State-dependent, Spares and an Additional Server for Longer Queues. International Journal of Mathematics and Mathematical Sciences, Vol. 27, No. 12, pp: 737-747.
  • Al-Seedy, R. O., El-Sherbiny, A. A., El-Shehawy, S. A. and Ammar, S. I. (2009). Transient solution of the M/M/c queue with balking and reneging. Computers and Mathematics with Applications, Vol. 57, No. 8, pp: 1280-1285.
  • ...
Year 2013, Volume: 6 Issue: 1, 42 - 55, 01.01.2013

Abstract

References

  • Altman, E. and Yechiali, U. (2008). Infinite- Server Queues with System’s Additional Tasks and Impatient Customers. Probability in the Engineering and Informational Sciences, Vol. 22, No. 4, pp: 477-493.
  • Al-Seedy, R. O. and Al-Ibraheem, F. M. (2001). An Interarrival Hyperexponential Machine Interference with Balking, Reneging, State-dependent, Spares and an Additional Server for Longer Queues. International Journal of Mathematics and Mathematical Sciences, Vol. 27, No. 12, pp: 737-747.
  • Al-Seedy, R. O., El-Sherbiny, A. A., El-Shehawy, S. A. and Ammar, S. I. (2009). Transient solution of the M/M/c queue with balking and reneging. Computers and Mathematics with Applications, Vol. 57, No. 8, pp: 1280-1285.
  • ...
There are 4 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Amit Choudhury This is me

Pallabi Medhi This is me

Publication Date January 1, 2013
Acceptance Date November 14, 2012
Published in Issue Year 2013 Volume: 6 Issue: 1

Cite

APA Choudhury, A., & Medhi, P. (2013). Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience. Istatistik Journal of The Turkish Statistical Association, 6(1), 42-55.
AMA Choudhury A, Medhi P. Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience. IJTSA. January 2013;6(1):42-55.
Chicago Choudhury, Amit, and Pallabi Medhi. “Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience”. Istatistik Journal of The Turkish Statistical Association 6, no. 1 (January 2013): 42-55.
EndNote Choudhury A, Medhi P (January 1, 2013) Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience. Istatistik Journal of The Turkish Statistical Association 6 1 42–55.
IEEE A. Choudhury and P. Medhi, “Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience”, IJTSA, vol. 6, no. 1, pp. 42–55, 2013.
ISNAD Choudhury, Amit - Medhi, Pallabi. “Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience”. Istatistik Journal of The Turkish Statistical Association 6/1 (January 2013), 42-55.
JAMA Choudhury A, Medhi P. Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience. IJTSA. 2013;6:42–55.
MLA Choudhury, Amit and Pallabi Medhi. “Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience”. Istatistik Journal of The Turkish Statistical Association, vol. 6, no. 1, 2013, pp. 42-55.
Vancouver Choudhury A, Medhi P. Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience. IJTSA. 2013;6(1):42-55.