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A net level performance analysis of stochastic Petri nets

Published online by Cambridge University Press:  17 February 2009

W. Henderson ,
D. Lucic  and
P. G. Taylor
W. Henderson
Affiliation:
Applied Mathematics Department, University of Adelaide, South Australia 5001.
D. Lucic
Affiliation:
Applied Mathematics Department, University of Adelaide, South Australia 5001.
P. G. Taylor
Affiliation:
Mathematics Department, University of Western Australia, Australia.
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Abstract

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Stochastic Petri Nets are used extensively to find performance measures for communication protocols. This paper illustrates how equilibrium distributions for the markings of a wide class of nets can be found directly without the need to generate a large state space and then resort to equilibrium balance equations.

Type
Research Article
Information
The ANZIAM Journal , Volume 31 , Issue 2 , October 1989 , pp. 176 - 187
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Balbo, G., Bruell, S. and Ghanta, S., “Combining queueing network and generalized stochastic Petri net models for the analysis of some software blocking phenomena”, IEEE SE-12, No. 4 (1986) 561–576.Google Scholar
[2]Billington, J., “Protocol Engineering and Nets”, Proc. Workshop on Appl. and Theo. of Petri Nets, Zaragoza (1987) 137–156.Google Scholar
[3]Billington, J., Wheeler, G. and Wilbur-Han, M. C., “Protean: a high level Petri net tool for the specification and verification of communication protocols”, IEEE Trans. Soft. Eng. SE-14 (1988).CrossRefGoogle Scholar
[4]Buzen, J. P., “Computational algorithm for closed networks with exponential servers”, Comm. Assoc. Comput. Mach, 16 (1973) 527–531.Google Scholar
[5]Florin, G. and Natkin, S., “Evaluation based upon stochastic Petri nets of the maximum throughput of a full duplex protocol”, in Appl. and Theo. of Petri Nets, (eds: Girault, C. and Reisig, W.), Informatic-Fachberichte, 52 (1985) 280–288.CrossRefGoogle Scholar
[6]Henderson, W., Pearce, C. E. M., Taylor, P. G. and van Dijk, N. M., “Closed queueing networks and batch services”, submitted 1988.Google Scholar
[7]Henderson, W. and Taylor, P., “Open networks of queues with batch arrivals and batch services”, submitted 1988.Google Scholar
[8]Kelly, F., Reversibility and stochastic networks, (Wiley, London, 1979).Google Scholar
[9]Marson, M. A., Balbo, G. and Conti, G., “A class of generalised stochastic Petri nets for the performance evaluation of multiprocessor systems”, ACM Trans. Comp. Syst. 2 (1984) 93–122.CrossRefGoogle Scholar
[10]Marsan, M. A., Chiola, G. and Fumagalli, A., “An accurate performance model of CSMA/CD Bus LAN”, Euro. Workshop on Appl. and Theo. of Petri Nets 7 (1986).Google Scholar
[11]Peterson, J. L., Petri net theory and the modeling of systems (Prentice-Hall, 1981).Google Scholar
[12]Reiser, M., “Mean value analysis and convolutional method for queue dependent servers in closed queueing networks”, Perf. Eval. 1 (1981) 7–18.CrossRefGoogle Scholar
[13]Symons, F. J. W., “Introduction to numerical Petri nets, a general graphical model of concurrent processing systems”, Aust. Tele. Res. 14 (1980).Google Scholar