By Topic

On approximate renewal models for the superposition of renewal processes

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Torab, P. ; Movaz Networks, McLean, VA, USA ; Kamen, E.W.

It is well known that the superposition of a finite number of renewal processes is not renewal anymore. A renewal approximation can be obtained by simply ignoring the interarrival dependencies and using the interarrival distribution. We show that this simple approximation is also rate-optimal, i.e., it defines a rate process that minimizes the mean-squared rate error functional over the set of all renewal processes. We also show that the optimal approximation is closely related to the rate of a new process, called the recurrence process, which is constructed by sampling the recurrence times from the original process. Applications to traffic analysis are discussed

Published in:

Communications, 2001. ICC 2001. IEEE International Conference on  (Volume:9 )

Date of Conference:

2001