Coloured Petri Nets: Basic Concepts, Analysis Methods and by Kurt Jensen PDF

By Kurt Jensen

ISBN-10: 3642082432

ISBN-13: 9783642082436

ISBN-10: 3662032414

ISBN-13: 9783662032411

This booklet offers a coherent description of the theoretical and functional aspects
of colored Petri Nets (CP-nets or CPN). It exhibits how CP-nets were developed
- from being a promising theoretical version to being a full-fledged language
for the layout, specification, simulation, validation and implementation of
large software program platforms (and different platforms during which humans and/or computers
communicate by way of a few kind of formal rules). The book
contains the formal definition of CP-nets and the mathematical idea behind
their research tools. although, it's been the purpose to jot down the booklet in
such a manner that it additionally turns into beautiful to readers who're extra in
applications than the underlying arithmetic. which means a wide a part of the
book is written in a method that's in the direction of an engineering textbook (or a users'
manual) than it truly is to a standard textbook in theoretical machine technological know-how. The book
consists of 3 separate volumes.

The first quantity defines the internet version (i.e., hierarchical CP-nets) and the
basic thoughts (e.g., different behavioural houses reminiscent of deadlocks, fairness
and domestic markings). It supplies an in depth presentation of many smaIl examples
and a quick evaluation of a few commercial purposes. It introduces the formal
analysis equipment. FinaIly, it encompasses a description of a suite of CPN tools
which aid the sensible use of CP-nets. many of the fabric during this quantity is
application orientated. the aim of the quantity is to educate the reader how to
construct CPN versions and the way to examine those by way of simulation.

The moment quantity incorporates a exact presentation of the idea in the back of the
formal research tools - specifically incidence graphs with equivalence
classes and place/transition invariants. It additionally describes how those research methods
are supported by means of machine instruments. components of this quantity are particularly theoretical
while different components are software orientated. the aim of the quantity is to teach
the reader tips to use the formal research tools. this can now not inevitably require
a deep knowing of the underlying mathematical conception (although such
knowledge will after all be a help).

The 3rd quantity includes a particular description of a range of industrial
applications. the aim is to record an important principles and experiences
from the tasks - in a fashion that is worthwhile for readers who don't yet
have own adventure with the development and research of enormous CPN diagrams.
Another objective is to illustrate the feasibility of utilizing CP-nets and the
CPN instruments for such tasks.

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Additional info for Coloured Petri Nets: Basic Concepts, Analysis Methods and Practical Use

Sample text

The transition Receive all Acknowledgments is only enabled when the transition Update and Send Messages has occurred for some manager s, and the transitions Receive a Message and Send an Acknowledgment have occurred for all managers different from s. This situation is called causal dependency (because we have a binding element which can only be enabled after the occurrence of certain other binding elements). In Fig. 13 we have drawn the places and arcs in three different ways. This has no formal meaning, but it makes the net more readable to humans - because it makes it easier to distinguish between: state changes of the data base managers (thick lines), state changes of the messages (thin lines), and the mechanism to ensure the mutual exclusion (shaded lines).

Synchronous communication is described by merging the transitions which represent the communicating actions. However, as shown in Fig. 20, it may first be necessary to duplicate some of the transitions. This happens when a single action can communicate with several alternative actions. Sharing of data is described by a shared place, which is both input and output for each action using the data. When the place has a single token, one process can use the data at a time. However, it is also possible to represent the data by a set of tokens.

Phones from which another phone is being called). , phones which are being called from another phone). , checking whether a requested connection can be established). Actions (at a phone) • Lift the receiver. • Dial a number. • Put down the receiver. • Talk States (of a connection) • Request (a number has been dialled, but it has not been checked whether the recipient is inactive). • Call (it has been checked that the recipient is inactive, but no one has yet lifted the receiver). • A full connection has been established.

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Coloured Petri Nets: Basic Concepts, Analysis Methods and Practical Use by Kurt Jensen


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