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

By Kurt Jensen

This booklet offers a coherent description of the theoretical and useful aspects
of colored Petri Nets (CP-nets or CPN). It indicates 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 structures (and different platforms within which humans and/or computers
communicate through a few roughly formal rules). The book
contains the formal definition of CP-nets and the mathematical conception behind
their research tools. although, it's been the purpose to write down the booklet in
such a fashion 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 mode that's in the direction of an engineering textbook (or a users'
manual) than it truly is to a customary textbook in theoretical computing device technological know-how. The book
consists of 3 separate volumes.

The first quantity defines the web version (i.e., hierarchical CP-nets) and the
basic strategies (e.g., different behavioural houses similar to deadlocks, fairness
and domestic markings). It supplies a close presentation of many smaIl examples
and a short assessment of a few commercial functions. It introduces the formal
analysis tools. FinaIly, it encompasses a description of a collection of CPN tools
which help the sensible use of CP-nets. many of the fabric during this quantity is
application orientated. the aim of the quantity is to coach the reader how to
construct CPN versions and the way to examine those by way of simulation.

The moment quantity features a specific presentation of the idea at the back of the
formal research tools - particularly incidence graphs with equivalence
classes and place/transition invariants. It additionally describes how those research methods
are supported through desktop instruments. elements of this quantity are relatively theoretical
while different elements are software orientated. the aim of the amount is to teach
the reader find out how to use the formal research equipment. this may now not unavoidably require
a deep figuring out of the underlying mathematical concept (although such
knowledge will after all be a help).

The 3rd quantity includes a certain description of a variety of industrial
applications. the aim is to rfile crucial rules and experiences
from the tasks - in a fashion that is worthy for readers who don't yet
have own adventure with the development and research of huge CPN diagrams.
Another goal 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

When this is the case it is often convenient to represent these by a single net, which has a token for each process. The colour of the token (or part of the colour) identifies the process, while the position tells what state it is in. As an example, the telephone system has many different but similar calling processes - because all phones behave in the same way. This means that we can model all these processes by a single net, having a token for each phone. In Fig. 16 and Fig. 21, this is already done - if we consider the colour set U to have an element for each phone (and the colour set UxU to be the cartesian product of U with itself).

Each site contains a copy of all data and this copy is handled by a local data base manager. Thus we have a set of data base managers: DBM = {dl. • dn }. Each manager is allowed to make an update to its own copy of the data base but then it must send a message to all the other managers (so that they can perfonn the same update on their copy of the data base). In this example we are not interested in the content of the message - but only in the header infonnation. which describes the sender and the receiver.

5. CP-nets have an explicit description of both states and actions. This is in contrast to most system description languages which describe either the states or the actions - but not both. Using CP-nets, the reader may easily change the point of focus during the work.

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