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.
Tabla de materias
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
Sobre el 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.
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