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
fDate :
11/1/1993 12:00:00 AM
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;
Journal_Title :
Computers, IEEE Transactions on