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

By Kurt Jensen

This booklet offers a coherent description of the theoretical and sensible 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 within which people and/or computers
communicate by way of a few roughly formal rules). The book
contains the formal definition of CP-nets and the mathematical idea behind
their research equipment. although, it's been the goal 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 mode that is towards an engineering textbook (or a users'
manual) than it really is to a regular textbook in theoretical machine 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 suggestions (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 business purposes. It introduces the formal
analysis tools. FinaIly, it features a description of a suite 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 educate the reader how to
construct CPN versions and the way to examine those by way of simulation.

The moment quantity features a special presentation of the idea at the back of the
formal research equipment - specifically incidence graphs with equivalence
classes and place/transition invariants. It additionally describes how those research methods
are supported by means of computing device instruments. elements of this quantity are quite theoretical
while different components are program orientated. the aim of the quantity is to teach
the reader tips to use the formal research equipment. this can no longer inevitably require
a deep realizing of the underlying mathematical idea (although such
knowledge will in fact be a help).

The 3rd quantity features a designated description of a variety of industrial
applications. the aim is to rfile crucial principles and experiences
from the initiatives - in a fashion that's worthy for readers who don't yet
have own event with the development and research of huge CPN diagrams.
Another objective is to illustrate the feasibility of utilizing CP-nets and the
CPN instruments for such initiatives.

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

This ebook provides a coherent description of the theoretical and sensible 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 kind of formal rules). The book
contains the formal definition of CP-nets and the mathematical thought behind
their research equipment. besides the fact that, it's been the goal to write down the e-book in
such a fashion that it additionally turns into appealing 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 really is to a customary textbook in theoretical laptop 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 options (e. g. , the several behavioural houses reminiscent of deadlocks, fairness
and domestic markings). It provides a close presentation of many smaIl examples
and a short review of a few business purposes. It introduces the formal
analysis tools. FinaIly, it features a description of a suite of CPN tools
which help the sensible use of CP-nets. lots of the fabric during this quantity is
application orientated. the aim of the amount is to educate the reader how to
construct CPN types and the way to examine those through simulation.

The moment quantity incorporates a distinctive presentation of the speculation at the back of the
formal research equipment - particularly incidence graphs with equivalence
classes and place/transition invariants. It additionally describes how those research methods
are supported by means of computing device instruments. components of this quantity are really theoretical
while different elements are program orientated. the aim of the quantity is to teach
the reader easy methods to use the formal research equipment. this can now not inevitably require
a deep knowing of the underlying mathematical idea (although such
knowledge will after all be a help).

The 3rd quantity features a unique description of a variety of industrial
applications. the aim is to record crucial principles and experiences
from the tasks - in a manner that's priceless for readers who don't yet
have own event with the development and research of huge CPN diagrams.
Another objective is to illustrate the feasibility of utilizing CP-nets and the
CPN instruments for such tasks.

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Extra resources for Coloured Petri Nets: Basic Concepts, Analysis Methods and Practical Use

Sample text

6 were drawn in approximately 2 hours. 6 Drawing of CPN Diagrams casexof p => 2'r I q=>2's+1'I x case x of P => 1'r I q => 1's+1'I Fig. 34. rocPIaCVPROC x case x of P => 2'r I q=>2's+1't case x of P => 1'r I q => 1's+1', Fig. 35. Same CP-net as in Fig. 7 Some Important Advantages of CP-nets There are three different - but closely related - reasons to make CPN models (and other kinds of behavioural models). First of all, a CPN model is a description of the modelled system, and it can be used as a specification (of a system which we want to build) or as a presentation (of a system which we want to explain to other people, or ourselves).

The product, record, union, list and subset constructors can be arbitrarily nested. 31; color Date = product Year * Month * Day; color Person =record name: Name * birthday: Date * children: NameList; Functions Each function declaration introduces a function. The function is not allowed to have side effects (this means that it is evaluated without influencing any other part of the system). The function takes a number of arguments and returns a result. , boot. , to construct subset colour sets), • in the declaration of other functions, operations and constants, • in arc expressions, guards and initialization expressions.

Usually this is from top to bottom, or from left to right. Arcs with a direction which is against the main flow may be highlighted. 44 1 Informal Introduction to Coloured Petri Nets Pl Fig. 25. Rule 3: Keep a main direction of flow 4. A void crossing arcs. This can often be done by moving a few places and transitions. , at two different positions). Then we connect some of the arcs to one of the copies, while the remainder are connected to the other. It is good idea to highlight such "duplicate places" in a special way.

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