Title :
Transient analysis of superposed GSPNs
Author_Institution :
Inf. IV, Dortmund Univ., Germany
Abstract :
The paper considers transient analysis using randomization for superposed generalized stochastic Petri nets (GSPNs). Since state space explosion implies that space is the bottleneck for numerical analysis, super-posed GSPNs profit from the structured representation known for its associated Markov chain. This moves the bottleneck for analysis from space for generator matrices to space for iteration vectors. Hence a variation of randomization is presented which allows to reduce space requirements for iteration vectors. An additional and welcome side effect is that during an initial phase, this algorithm avoids useless multiplications involving states with zero probability. Furthermore at accommodates to adaptive randomization in a natural way
Keywords :
Petri nets; randomised algorithms; stochastic processes; transient analysis; GSPNs; Markov chain; generator matrices; iteration vectors; randomization; space requirements; superposed generalized stochastic Petri nets; transient analysis; Differential equations; Explosions; Functional analysis; Numerical analysis; Performance analysis; Petri nets; State-space methods; Stochastic processes; Stochastic systems; Transient analysis;
Conference_Titel :
Petri Nets and Performance Models, 1997., Proceedings of the Seventh International Workshop on
Conference_Location :
Saint Malo
Print_ISBN :
0-8186-7931-X
DOI :
10.1109/PNPM.1997.595541