NDLI: Steady-state analysis of infinite stochastic Petri nets: comparing the spectral expansion and the matrix-geometric method

Content Provider	IEEE Xplore Digital Library
Author	Haverkort, B.R. Ost, A.
Copyright Year	1997
Description	Author affiliation: Dept. of Comput. Sci., Rheinisch-Westfalische Tech. Hochschule, Aachen, Germany (Haverkort, B.R.)
Abstract	In this paper we investigate the efficiency of two solution approaches to infinite stochastic Petri nets: the matrix-geometric method and the spectral expansion method. We first informally present infinite stochastic Petri nets, after which we describe, using uniform notation, the matrix-geometric and the spectral expansion method. We put special emphasis on the numerical aspect of the solution procedures. Then, we investigate the suitability of these approaches to account for batch-movements of tokens. We then compare the two solution approaches when applied to a larger modelling study of a fault-tolerant computer system. It turns out that the spectral expansion method is favorable in all cases, especially when more heavily loaded systems are studied and when batch arrivals are incorporated in the model. To the best of our knowledge, this paper is the first to compare the spectral expansion method, as advocated by Mitrani and Chakka, with the Latouche-Ramaswami algorithm for the matrix-geometric case. Furthermore, our comparisons go well beyond the usual textbook cases, since we are able to generate, with our tool SPN2MGM, models that are much larger than those that have been assessed in the past.
Starting Page	36
Ending Page	45
File Size	1036005
Page Count	10
File Format	PDF
ISBN	081867931X
ISSN	10636714
DOI	10.1109/PNPM.1997.595535
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1997-06-03
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Steady-state Stochastic processes Petri nets Stochastic systems Power system modeling State-space methods Fault tolerant systems Performance analysis Timing Convolution
Content Type	Text
Resource Type	Article

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