Paper Info
Title
Stationary Analysis Of Fspns With Mutually Dependent Discrete And Continuous Parts
Abstract
In this paper we analyze the stationary behaviour of FSPNs with single fluid place and mutually dependent continuous and discrete part. The proposed analysis technique is restricted to the cases when the fluid rate does not change sign in a given marking.We provide the set of ordinary differential equations and boundary conditions that determines the stationary behaviour and we discuss potential numerical methods that evaluate the stationary distribution based on this description. The numerical analysis of FSPN models of telecommunication systems demonstrate the applicability of the introduced analysis methods.
Year
DOI
Venue
2003
10.1109/PNPM.2003.1231540
10TH INTERNATIONAL WORKSHOP ON PETRI NETS AND PERFORMANCE MODELS, PROCEEDINGS
Keywords
Field
DocType
fluid stochastic Petri nets, stationary distribution, ordinary differential equations
Differential equation,Boundary value problem,Petri net,Ordinary differential equation,Mathematical analysis,Stochastic process,Stationary distribution,Numerical analysis,Mathematics,Stationary analysis
Conference
ISSN
Citations 
PageRank 
1063-6714
7
0.63
References 
Authors
7
4
Name
Order
Citations
PageRank
R. German114611.54
M. Gribaudo220915.51
G. Horvath3403.80
M. Telek422819.80