ISSUES BY YEAR
Volume 12 - 2016
Volume 11 - 2015
Volume 10 - 2014
Volume 9 - 2013
Volume 8 - 2012
Volume 7 - 2011
Volume 6 - 2010
Volume 5 - 2009
Volume 4 - 2008
Volume 3 - 2007
Volume 2 - 2006
Stochastic Petri Nets with Low Variation Matrix Exponentially Distributed Firing Time
Volume 7, Number 5, September 2011 - Paper 4 - pp. 441-454
P. BUCHHOLZ1, A. HORVÁTH2and M. TELEK31 Informatik IV, TU Dortmund,D-44221 Dortmund, Germany
2 Dipartimento di Informatica, Università di Torino, I-10149 Torino, Italy
3 Department of Telecommunications, Technical University of Budapest, H-1521 Budapest, Hungary
(Received on November 21, 2010 and revised on May 18, 2011)
Matrix exponential (ME) distributions with low squared coefficient of variation (scv) are such that the density function becomes zero at some points in(0,∞). For such distributions there is no equivalent finite dimensional PH representation, which inhibits the application of existing methodologies for the numerical analysis of stochastic Petri nets (SPNs) with this kind of ME distributed firing time. To overcome the limitations of existing methodologies we apply the flow interpretation of ME distributions and study the transient and the stationary behaviour of stochastic Petri nets with ME distributed firing times via ordinary differential and linear equations, respectively. The main result of this study is a theory stating that all kinds of ME distributions can be used like phase type (PH) distributions in stochastic Petri nets and the numerical computation of transient or stationary measures is possible with methods similar to those used for Markov models.
Click here to download the paper.
Please note : You will need Adobe Acrobat viewer to view the full articles.
Important Access Information
Individuals, Institutions and Corporations with access via userid and password:
If you have a valid userid and password, you will need to login at the top of the screen. All volumes that are authorized by your subscription will be available for download. If you are not authorized, you will see an 'add to cart' option and you have the choice of purchasing the articles. You may also apply for subscription from our Subscription page.
If you cannot access any paper and you feel your subscription entitles you to access, please notify us by using the contact form on the Contact Us page. Please provide as much detail as possible.
Institutions and Corporations with access via IP addresses:
If you have a subscription via IP addresses, all volumes that are authorized by your subscription will be available for download. If you are not authorized, you will see an 'add to cart' option and you have the choice of purchasing the articles. You may also apply for subscription from our Subscription page.
If you cannot access any paper and you feel your subscription entitles you to access, please verify that the EXTERNAL IP address of your computer is authorized. Before contacting us, contact your system administrator and confirm if the IP address of your network has been authorized for access. To find out the EXTERNAL IP address of your network, simply open any Internet browser and point it to : http://www.WhatIsMyIP.com. Your EXTERNAL IP address will be shown in the browser window.
Once you have this information, you may email us using the contact form on the Contact Us page. Please provide as much detail as possible. You may also email a screenshot of the browser to :subscriptions@IJPE-Online.com
Thank you for your understanding. We will try our best to reply within 24-48 hours.