By Topic

Numerical analysis of stochastic marked graph nets

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
$33 $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)
Buchholz, P. ; Fachbereich Inf. IV, Dortmund Univ., Germany ; Kemper, P.

The analysis of stochastic marked graphs is considered. The underlying idea is to decompose the marked graph into subnets, to generate state spaces and transition matrices for these isolated parts and then to represent the generator matrix underlying the complete net by means of much smaller subnet matrices combined via tensor operations. Based on this matrix representation, efficient numerical analysis techniques can be used to compute the stationary solution. Furthermore we propose on approximation technique which is similar to known approximate solution techniques for this kind of nets, but our approach is completely integrated in the structured description of the generator matrix. This allows an estimation of the approximation error and the usage of the approximate results as an initial guess for a subsequent iterative analysis, such that the number of required iterations is often significantly reduced

Published in:

Petri Nets and Performance Models, 1995., Proceedings of the Sixth International Workshop on

Date of Conference:

3-6 Oct 1995