DocumentCode
979177
Title
Stochastic well-formed colored nets and symmetric modeling applications
Author
Chiola, G. ; Dutheillet, C. ; Franceschinis, G. ; Haddad, Serge
Author_Institution
Dipartimento di Inf., Torino Univ., Italy
Volume
42
Issue
11
fYear
1993
fDate
11/1/1993 12:00:00 AM
Firstpage
1343
Lastpage
1360
Abstract
The class of stochastic well-formed colored nets (SWN´s) was defined as a syntactic restriction of stochastic high-level nets. The interest of the introduction of restrictions in the model definition is the possibility of exploiting the symbolic reachability graph (SRG) to reduce the complexity of Markovian performance evaluation with respect to classical Petri net techniques. It turns out that SWN´s allow the representation of any color function in a structured form, so that any unconstrained high-level net can be transformed into a well-formed net. Moreover, most constructs useful for the modeling of distributed computer systems and architectures directly match the “well-formed” restriction, without any need of transformation. A nontrivial example of the usefulness of the technique in the performance modeling and evaluation of multiprocessor architectures is included
Keywords
Petri nets; computational complexity; multiprocessing systems; performance evaluation; Markovian performance evaluation; Petri net; SWN; complexity; computational complexity; lumpability condition; memory contention; model definition; performance modeling; stochastic high-level nets; stochastic well-formed colored nets; symbolic reachability graph; syntactic restriction; Computational complexity; Computer architecture; Distributed computing; Laboratories; Multiprocessing systems; Petri nets; Polynomials; Roentgenium; Steady-state; Stochastic processes;
fLanguage
English
Journal_Title
Computers, IEEE Transactions on
Publisher
ieee
ISSN
0018-9340
Type
jour
DOI
10.1109/12.247838
Filename
247838
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