By Topic

Sensitivity analysis of Markov regenerative stochastic Petri 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
$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)
Mainkar, V. ; Dept. of Comput. Sci., Duke Univ., Durham, NC, USA ; Choi, H. ; Trivedi, T.

Sensitivity analysis, i.e., the analysis of the effect of small variations in system parameters on the output measures, can be studied by computing the derivatives of the output measures with respect to the parameter. An algorithm for parametric sensitivity analysis of Markov regenerative stochastic Petri nets (MRSPN) is presented. MRSPNs are a true generalization of stochastic Petri nets, in that they allow for transitions to have generally distributed firing times (under certain conditions). The expressions for the steady state probabilities of MRSPNs were developed by H. Choi et al. (1993). The authors extend the steady state analysis and present equations for sensitivity of the steady state probabilities with respect to an arbitrary system parameter. Sensitivity functions of the performance measures can accordingly be expressed in terms of the sensitivity functions of the steady state probabilities. The authors present an application of our algorithm by finding an optimizing parameter for a vacation queue

Published in:

Petri Nets and Performance Models, 1993. Proceedings., 5th International Workshop on

Date of Conference:

19-22 Oct 1993