DocumentCode :
3320950
Title :
Jump transitions in second order FSPNs
Author :
Wolter, Katinka
Author_Institution :
Inst. fur Tech. Inf., Tech. Univ. Berlin, Germany
fYear :
1999
fDate :
1999
Firstpage :
156
Lastpage :
163
Abstract :
In this paper jump transitions for the fluid model part in second order fluid stochastic Petri nets (FSPNs) are introduced. The extended formalism is defined, and the underlying partial differential equations are derived. With a jump a certain amount of fluid is added to a fluid place or taken out at once. This amount, the jump height, is sampled from a probability distribution. The dynamics of a model are described by second order partial differential equations that include integrals. As examples the virtual waiting time (or unfinished work) in a queueing system and a performability model of a multi-processor system are modelled
Keywords :
Petri nets; multiprocessing systems; partial differential equations; probability; queueing theory; stochastic processes; fluid model; integrals; jump transitions; multiprocessor system; partial differential equations; performability model; probability distribution; queueing system; second order fluid stochastic Petri nets; virtual waiting time; Communication systems; Equations; Fluid dynamics; Manufacturing systems; Petri nets; Postal services; Queueing analysis; Random variables; Read only memory; Stochastic systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Modeling, Analysis and Simulation of Computer and Telecommunication Systems, 1999. Proceedings. 7th International Symposium on
Conference_Location :
College Park, MD
Print_ISBN :
0-7695-0381-0
Type :
conf
DOI :
10.1109/MASCOT.1999.805051
Filename :
805051
Link To Document :
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