Quantitative modeling of stochastic systems in molecular biology by using stochastic Petri nets

PJE Goss, J Peccoud - Proceedings of the National Academy of Sciences, 1998 - pnas.org
An integrated understanding of molecular and developmental biology must consider the
large number of molecular species involved and the low concentrations of many species in …

The how and why of interactive Markov chains

H Hermanns, JP Katoen - International Symposium on Formal Methods for …, 2009 - Springer
This paper reviews the model of interactive Markov chains (IMCs, for short), an extension of
labelled transition systems with exponentially delayed transitions. We show that IMCs are …

[KNYGA][B] Stochastic discrete event systems

A Zimmermann - 2007 - Springer
The behavior of many technical systems that are increasingly important in our every-day life
can be described by discrete states and state-changing events. Discrete event systems …

Modeling and simulation of molecular biology systems using petri nets: modeling goals of various approaches

S Hardy, PN Robillard - Journal of bioinformatics and computational …, 2004 - World Scientific
Petri nets are a discrete event simulation approach developed for system representation, in
particular for their concurrency and synchronization properties. Various extensions to the …

A constrained probabilistic petri net framework for human activity detection in video

M Albanese, R Chellappa, V Moscato… - IEEE Transactions …, 2008 - ieeexplore.ieee.org
Recognition of human activities in restricted settings such as airports, parking lots and banks
is of significant interest in security and automated surveillance systems. In such settings …

Superposed generalized stochastic Petri nets: definition and efficient solution

S Donatelli - International Conference on Application and Theory of …, 1994 - Springer
In a previous paper we have defined Superposed Stochastic Automata (SSA)[13], a class of
Stochastic Petri Nets (SPN) whose solution can be efficiently computed since it never …

A semantics for every GSPN

C Eisentraut, H Hermanns, JP Katoen… - … on Applications and …, 2013 - Springer
Abstract Generalised Stochastic Petri Nets (GSPN s) are a popular modelling formalism for
performance and dependability analysis. Their semantics is traditionally associated to …

The application of Petri nets to the modeling, analysis and control of intelligent urban traffic networks

F DiCesare, PT Kulp, M Gile, G List - Application and Theory of Petri Nets …, 1994 - Springer
This paper focuses on the development of Petri net models and tools for the control and
performance analysis of signalized traffic intersections and networks of connected …

Concurrency and composition in a stochastic world

C Eisentraut, H Hermanns, L Zhang - International Conference on …, 2010 - Springer
We discuss conceptional and foundational aspects of Markov automata [22]. We place this
model in the context of continuous-and discrete-time Markov chains, probabilistic automata …

A comparison of performance evaluation process algebra and generalized stochastic Petri nets

S Donatelli, M Ribaudo, J Hillston - … 6th International Workshop …, 1995 - ieeexplore.ieee.org
Generalized stochastic Petri nets (GSPN) and performance evaluation process algebra
(PEPA) can both be used to study qualitative and quantitative behaviour of systems in a …