CLC number: TN47; TP301.2
On-line Access:
Received: 2008-04-08
Revision Accepted: 2008-06-05
Crosschecked: 2008-12-26
Cited: 0
Clicked: 5648
Yao YUE, Chun-ming ZHANG, Hai-xin WANG, Guo-qiang BAI, Hong-yi CHEN. Stochastic individual predicate/transition nets[J]. Journal of Zhejiang University Science A, 2009, 10(2): 165-171.
@article{title="Stochastic individual predicate/transition nets",
author="Yao YUE, Chun-ming ZHANG, Hai-xin WANG, Guo-qiang BAI, Hong-yi CHEN",
journal="Journal of Zhejiang University Science A",
volume="10",
number="2",
pages="165-171",
year="2009",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0820268"
}
%0 Journal Article
%T Stochastic individual predicate/transition nets
%A Yao YUE
%A Chun-ming ZHANG
%A Hai-xin WANG
%A Guo-qiang BAI
%A Hong-yi CHEN
%J Journal of Zhejiang University SCIENCE A
%V 10
%N 2
%P 165-171
%@ 1673-565X
%D 2009
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820268
TY - JOUR
T1 - Stochastic individual predicate/transition nets
A1 - Yao YUE
A1 - Chun-ming ZHANG
A1 - Hai-xin WANG
A1 - Guo-qiang BAI
A1 - Hong-yi CHEN
J0 - Journal of Zhejiang University Science A
VL - 10
IS - 2
SP - 165
EP - 171
%@ 1673-565X
Y1 - 2009
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A0820268
Abstract: We analyze the drawbacks of generally distributed time transition stochastic Petri nets (GDTT_SPN) in evaluating the performance of parallel systems, and propose a more general model, stochastic individual predicate/transition nets (SIPTN). SIPTN has higher modeling power and could provide more realistic models compared to GDTT_SPN, because in SIPTN the sojourn time distribution is determined not only by the transition, but also by the individuals. It is further proved that GDTT_SPN is a subset of SIPTN. As SIPTN introduces folding techniques from predicate/transition nets, SIPTN models have simpler and more intuitive graphic notations and accordingly higher usability, and thus are suitable for constructing simulation models for parallel systems.
[1] Ajmone Marsan, M., Conte, G., Balbo, G., 1984. A class of generalized Petri nets for the performance evaluation of multiprocessor systems. ACM Trans. Comput. Syst., 2(2):93-122.
[2] Ajmone Marsan, M., Balbo, G., Bobbio, A., Chiola, G., Conte, G., Cumani, A., 1989. The effect of execution policies on the semantics and analysis of stochastic Petri nets. IEEE Trans. Software Eng., 15(7):832-846.
[3] Ajmone Marsan, M., Bobbio, A., Donatelli, S., 1998. Petri nets in performance analysis: an introduction. LNCS, 1491:211-256.
[4] Balbo, G., 2001. Introduction to stochastic Petri nets. LNCS, 2090:117-148.
[5] Genrich, H.J., Lautenbach, K., 1979. The analysis of distributed systems by means of predicate/transition-nets. LNCS, 70:123-146.
[6] Herzog, U., 2002. Formal methods for performance evaluation. LNCS, 2090:1-37.
[7] Jain, J.L., Mohanty, S.G., Böhm, W., 2006. A Course on Queueing Models. Chapman & Hall/CRC, London, New York.
[8] Jensen, K., 1996. Colored Petri Nets: Basic Concepts, Analysis Methods and Practical Use (2nd Ed.). Volume 1, Springer-Verlag Berlin, New York, p.65-85.
[9] Lin, C., Marinescu, D.C., 1988. Stochastic high level Petri nets and applications. IEEE Trans. Comput., 37(7):815-825.
[10] Molloy, M.K., 1981. On the Integration of Delay and Throughput Measures in Distributed Processing Models. PhD Thesis, UCLA, Los Angeles, CA.
[11] Wang, H.X., Yue, Y., Zhang, C.M., Bai, G.Q., Chen, H.Y., 2007. A Novel Unified Control Architecture for a High-performance Network Security Accelerator. Proc. Int. Conf. on Security and Management, p.538-544.
[12] Zimmermann, A., 2007. Stochastic Discrete Event Systems: Modeling, Evaluation, Applications. Springer, Berlin Heidelberg New York, p.65-78.
Open peer comments: Debate/Discuss/Question/Opinion
<1>