Abstract
Colored nets have been recognized as a powerful modelling paradigm for the validation and evaluation of systems, both in terms of compact representation and aggregate state space generation. In this paper we discuss the issue of adding compositionality to a class of stochastic colored nets named Stochastic Well-formed Nets, in order to increase modularity and reuse of the modelling efforts. This requires the notion of Parametric Stochastic Well-formed net: nets in which a certain amount of information is left unspecified, and is instantiated only upon model composition. The choice of the compositional rule has been based on previous work on layered models for integrated hardware and software systems (the processes, services and resources methodology), and an example of layered modelling with Parametric Stochastic Well-formed net is presented to show the efficacy of the proposed formalism.
We acknowledge contribution of the EEC project 28620 TIRAN.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
M. Ajmone Marsan, G. Balbo, G. Conte, S. Donatelli, and G. Franceschinis. Modelling with Generalized Stochastic Petri Nets. J. Wiley, 1995.
C. Anglano, S. Donatelli, and R. Gaeta. Parallel architectures with regular structure: a case study in modelling using SWN. In Proc. 5th Intern. Workshop on Petri Nets and Performance Models, Toulouse, France, October 1993. IEEE-CS Press.
E. Battiston, O. Botti, E. Crivelli, and F. De Cindio. An incremental specification of a hydroelectric power plant control system using a class of modular algebraic nets. In Proc. of the 16th international conference on Application and Theory of Petri nets 1995, Torino, Italy, 1995. Springer Verlag. Volume LNCS935.
E. Best, H. Flrishhacl ANF W. Fraczak, R. Hopkins, H. Klaudel, and E. Pelz. A class of composable high level Petri nets with an application to the semantics of B(PN)2. In Proc. of the 16th international conference on Application and Theory of Petri nets 1995, Torino, Italy, 1995. Springer Verlag. Volume LNCS935.
P. Buchholz. A hyerarchical view of GCSPN and its impact on qualitative and quantitative analysis. Journal of Parallel and Distr. Computing, (15), July 1992.
G. Chiola, C. Dutheillet, G. Franceschinis, and S. Haddad. On Well-Formed coloured nets and their symbolic reachability graph. In Proc. 11th Intern. Conference on Application and Theory of Petri Nets, Paris, France, June 1990. Reprinted in High-Level Petri Nets. Theory and Application, K. Jensen and G. Rozenberg (editors), Springer Verlag, 1991.
G. Chiola, C. Dutheillet, G. Franceschinis, and S. Haddad. A Symbolic Reachability Graph for Coloured Petri Nets. Theoretical Computer Science B (Logic, semantics and theory of programming), 176(1&2):39–65, April 1997.
G. Chiola, G. Franceschinis, R. Gaeta, and M. Ribaudo. GreatSPN 1.7: Graphical Editor and Analyzer for Timed and Stochastic Petri Nets. Performance Evaluation, special issue on Performance Modeling Tools, 24(1&2):47–68, November 1995.
S. Christensen and L. Petrucci. Modular state space analysis of coloured Petri nets. In Proc. of the 16th international conference on Application and Theory of Petri nets 1995, Torino, Italy, 1995. Springer Verlag. Volume LNCS935.
S. Donatelli and G. Franceschinis. The PSR methodology: integrating hardware and software models. In Proc. of the 17th International Conference in Application and Theory of Petri Nets, ICATPN’ 96, Osaka, Japan, june 1996. Springer Verlag. LNCS, Vol 1091.
S. Haddad and P. Moreaux. Evaluation of high level Petri nets by means of aggregation and decomposition. In Proc. of the 6th international workshop on Petri nets and performance models, Durham, North Carolina, U.S.A, October 1995.
K. Jensen. Coloured Petri Nets, Basic Concepts, Analysis Methods and Practical Use. Volume 1. Springer Verlag, 1992.
K. Jensen. Coloured Petri Nets, Basic Concepts, Analysis Methods and Practical Use. Volume 2. Springer Verlag, 1995.
Isabel C. Rojas M. Compositional construction and Analysis of Petri net Systems. PhD thesis, University of Edinburgh, 1997.
E. Teruel, G. Franceschinis, and M. De Pierro. Clarifying the priority specification of gspn: Detached priorities. In Proc. 8th Intern. Workshop on Petri Nets and Performance Models, Zaragoza, Spain, September 1999. IEEE-CS Press.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ballarini, P., Donatelli, S., Franceschinis, G. (2000). Parametric Stochastic Well-Formed Nets and Compositional Modelling. In: Nielsen, M., Simpson, D. (eds) Application and Theory of Petri Nets 2000. ICATPN 2000. Lecture Notes in Computer Science, vol 1825. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44988-4_5
Download citation
DOI: https://doi.org/10.1007/3-540-44988-4_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67693-5
Online ISBN: 978-3-540-44988-1
eBook Packages: Springer Book Archive