Cart (Loading....) | Create Account
Close category search window

Model checking of performance measures using bounding aggregations

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

3 Author(s)
Castel-Taleb, H. ; Inst. TELECOM, Evry ; Mokdad, L. ; Pekergin, N.

This paper presents an algorithm based on stochastic comparisons in order to check formulas with rewards on multidimensional continuous time Markov chains (CTMC). These formulas are expressed in continuous stochastic logic (CSL) which includes means to express transient, steady-state and path performance measures. However, using simulations or analytical methods, computation of transient and steady state distribution are limited to relatively small sizes because of the state space explosion problem. We propose a model checking algorithm based on aggregated bounding Markov processes in order to perform the verification on the bounds values instead of the exact one. The stochastic comparison has been largely applied in performance evaluation however the state space is generally assumed to be totally ordered which induces less accurate bounds for multidimensional Markov processes. We use the increasing set theory and the comparison by mapping functions in order to derive performance measures bounds on reduced state spaces. The relevance of the proposed checking algorithm is the possibility of a parametric aggregation scheme in order to improve the accuracy of the bounds and in the same time the precision of the checking, but in return with an increasing of the complexity. We apply the algorithm to the performance evaluation of a tandem queueing network in order to verify if loss probabilities are included or not in an interval.

Published in:

Performance Evaluation of Computer and Telecommunication Systems, 2008. SPECTS 2008. International Symposium on

Date of Conference:

16-18 June 2008

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.