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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.
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.
Preface xv Introduction xvii PART 1. FUNDAMENTAL MODELS 1 Chapter 1. Basic Semantics 3Michel DIAZ Chapter 2. Application of Petri Nets to Communication Protocols 27Michel DIAZ Chapter 3. Analysis Methods for Petri 41Serge HADDAD and François VERNADAT Chapter 4. Decidability and Complexity of Petri Net Problems 87Serge HADDAD Chapter 5. Time Petri Nets 123Bernard BERTHOMIEU, Marc BOYER and Michel DIAZ Chapter 6. Temporal Composition and Time Stream Petri Nets 163Michel DIAZ and Patrick SÉNAC Chapter 7. High Level Petri Nets 185Claude GIRAULT and Jean-François PRADAT-PEYRE Chapter 8. Analysis of High Level Petri Nets 221Claude GIRAULT and Jean-François PRADAT-PEYRE Chapter 9. Stochastic Petri Nets 269Serge HADDAD and Patrice MOREAUX Chapter 10. Stochastic Well-formed Petri Nets 303Serge HADDAD and Patrice MOREAUX Chapter 11. Tensor Methods and Stochastic Petri Nets 321Serge HADDAD and Patrice MOREAUX PART 2. VERIFICATION AND APPLICATION OF PETRI NETS 347 Chapter 12. Verification of Specific Properties 349Serge HADDAD and François VERNADAT Chapter 13. Petri Net Unfoldings – Properties 415Jean-Michel COUVREUR and Denis POITRENAUD Chapter 14. Symmetry and Temporal Logic 435Serge HADDAD and Jean-Michel ILIÉ Chapter 15. Hierarchical Time Stream Petri Nets 461Patrick SÉNAC and Michel DIAZ Chapter 16. Petri Nets and Linear Logic 481Brigitte PRADIN, Robert VALETTE and Nicolas RIVIÈRE Chapter 17. Modeling of Multimedia Architectures: the Case of Videoconferencing with Guaranteed Quality of Service 501Philippe OWEZARSKI and Marc BOYER Chapter 18 Performance Evaluation in Manufacturing Systems 527Isabel DEMONGODIN, Nathalie SAUER and Laurent TRUFFET Conclusion 577 List of Authors 579 Index 581
"We think that this volume should greatly help any designer to build the new forthcoming generation of distributed systems." (Mathematical Reviews, 2011)