Research Article

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

Volume: 6 Number: 1 January 1, 2013
  • Amit Choudhury
  • Pallabi Medhi *
EN

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

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.

Keywords

References

  1. 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.
  2. 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.
  3. 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.
  4. ...

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Amit Choudhury This is me
United States

Pallabi Medhi * This is me
United States

Publication Date

January 1, 2013

Submission Date

May 21, 2012

Acceptance Date

November 14, 2012

Published in Issue

Year 2013 Volume: 6 Number: 1

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. https://izlik.org/JA56UY86UJ
AMA
1.Choudhury A, Medhi P. Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience. IJTSA. 2013;6(1):42-55. https://izlik.org/JA56UY86UJ
Chicago
Choudhury, Amit, and Pallabi Medhi. 2013. “Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience”. Istatistik Journal of The Turkish Statistical Association 6 (1): 42-55. https://izlik.org/JA56UY86UJ.
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
[1]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, Jan. 2013, [Online]. Available: https://izlik.org/JA56UY86UJ
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 1, 2013): 42-55. https://izlik.org/JA56UY86UJ.
JAMA
1.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, Jan. 2013, pp. 42-55, https://izlik.org/JA56UY86UJ.
Vancouver
1.Amit Choudhury, Pallabi Medhi. Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience. IJTSA [Internet]. 2013 Jan. 1;6(1):42-55. Available from: https://izlik.org/JA56UY86UJ