Petri Nets (eBook)

Fundamental Models, Verification and Applications

Michel Diaz (Herausgeber)

eBook Download: PDF

2010 | 1. Auflage
768 Seiten
Wiley (Verlag)
978-0-470-39430-4 (ISBN)

Infos

A Petri net is a mathematical representation of a network. This book first introduces the basic models including time and stochastic extensions, in particular place-transition and high level Petri nets. Their modeling and design capabilities are illustrated by a set of representations of interest in operating and communication systems. The volume then addresses the related verification problems and proposes corresponding solutions by introducing the main notions needed to fully understand the behavior and properties behind Petri nets. Particular attention is devoted to how systems can be fully represented and analyzed in terms of their behavioral, time, and stochastic aspects by using the same formal approach and semantic basis. Finally, illustrative examples are presented in the important fields of interoperability in telecommunication services, programming languages, multimedia architectures, manufacturing systems, and communication protocols.

Autor

Michel Diaz is director of research at the National Center of Scientific Research (CNRS), Paris, France and leads the critical computer systems research department at LAAS-CNRS, Toulouse.

Inhalt

Preface xv

Introduction xvii

PART 1. FUNDAMENTAL MODELS 1

Chapter 1. Basic Semantics 3

Michel DIAZ

Chapter 2. Application of Petri Nets to Communication
Protocols 27

Michel DIAZ

Chapter 3. Analysis Methods for Petri 41

Serge HADDAD and François VERNADAT

Chapter 4. Decidability and Complexity of Petri Net
Problems 87

Serge HADDAD

Chapter 5. Time Petri Nets 123

Bernard BERTHOMIEU, Marc BOYER and Michel DIAZ

Chapter 6. Temporal Composition and Time Stream Petri
Nets 163

Michel DIAZ and Patrick SÉNAC

Chapter 7. High Level Petri Nets 185

Claude GIRAULT and Jean-François PRADAT-PEYRE

Chapter 8. Analysis of High Level Petri Nets 221

Claude GIRAULT and Jean-François PRADAT-PEYRE

Chapter 9. Stochastic Petri Nets 269

Serge HADDAD and Patrice MOREAUX

Chapter 10. Stochastic Well-formed Petri Nets 303

Serge HADDAD and Patrice MOREAUX

Chapter 11. Tensor Methods and Stochastic Petri
Nets 321

Serge HADDAD and Patrice MOREAUX

PART 2. VERIFICATION AND APPLICATION OF PETRI
NETS 347

Chapter 12. Verification of Specific
Properties 349

Serge HADDAD and François VERNADAT

Chapter 13. Petri Net Unfoldings -
Properties 415

Jean-Michel COUVREUR and Denis POITRENAUD

Chapter 14. Symmetry and Temporal Logic 435

Serge HADDAD and Jean-Michel ILIÉ

Chapter 15. Hierarchical Time Stream Petri
Nets 461

Patrick SÉNAC and Michel DIAZ

Chapter 16. Petri Nets and Linear Logic 481

Brigitte PRADIN, Robert VALETTE and Nicolas
RIVIÈRE

Chapter 17. Modeling of Multimedia Architectures: the Case of
Videoconferencing with Guaranteed Quality of
Service 501

Philippe OWEZARSKI and Marc BOYER

Chapter 18 Performance Evaluation in Manufacturing
Systems 527

Isabel DEMONGODIN, Nathalie SAUER and Laurent TRUFFET

Conclusion 577

List of Authors 579

Index 581

Rezensionen

"We think that this volume should greatly help any designer to
build the new forthcoming generation of distributed systems."
(Mathematical Reviews, 2011)

Produkt-Details

• Erscheint lt. Verlag: 3.2.2010
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• Themenwelt: Technik ► Nachrichtentechnik
• Schlagworte: Applied Mathematics in Science • Communication Technology - Networks • Electrical & Electronics Engineering • Elektrotechnik u. Elektronik • Kommunikationsnetze • Mathematics • Mathematik • Mathematik in den Naturwissenschaften
• ISBN-10: 0-470-39430-7 / 0470394307
• ISBN-13: 978-0-470-39430-4 / 9780470394304