Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-10T14:37:03.506Z Has data issue: false hasContentIssue false
  • English
  • Français

On a new characterization of the exponential distribution related to a queueing system with an unreliable server

Published online by Cambridge University Press:  14 July 2016

B. Dimitrov  and
Z. Khalil
B. Dimitrov*
Affiliation:
University of Sofia
Z. Khalil*
Affiliation:
Concordia University
*
∗Postal address: Department of Mathematics, University of Sofia, Bulgaria.
∗∗Postal address: Department of Mathematics and Statistics, Loyola Campus, 7141 Sherbrooke Street West, Montreal, PQ, Canada H4B 1R6.
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we derive a new property of the exponential distribution, closely related to a single-server queueing system with unreliable server. We show that this new property is another characterization of the exponential law.

Keywords

CHARACTERIZATION THEOREMBLOCKING TIMESFAILURE TIMESLAPLACE-STIELTJES TRANSFORM
Type
Short Communications
Information
Journal of Applied Probability , Volume 27 , Issue 1 , March 1990 , pp. 221 - 226
Copyright
Copyright © Applied Probability Trust 1990 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Research supported by the Natural Sciences and Engineering Research Council of Canada, Grant A9095.

References

[1] Azlarov, T. and Volodin, N. (1986) Characterization Problems Associated with the Exponential Distribution. Springer-Verlag, Berlin.Google Scholar
[2] Galambos, J. and Kotz, S. (1978) Characterizations of Probability Distributions: A Unified Approach with an Emphasis on Exponential and Related Models. Lecture Notes in Mathematics 675, Springer-Verlag, Berlin.Google Scholar
[3] Gnedenko, B., Danielian, E., Dimitrov, B., Klimov, G. and Matveyev, V. (1973) Priority Queues (in Russian). Moscow University Press.Google Scholar
[4] Levinson, N. and Redheffer, R. Complex Variables. Holden-Day, San Francisco.Google Scholar