By Kurt Jensen
This ebook 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 structures during which humans and/or computers
communicate through a few roughly formal rules). The book
contains the formal definition of CP-nets and the mathematical thought behind
their research equipment. in spite of the fact that, it's been the goal to put in writing the booklet in
such a manner 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 is toward an engineering textbook (or a users'
manual) than it really is to a customary textbook in theoretical desktop technology. The book
consists of 3 separate volumes.
The first quantity defines the web version (i.e., hierarchical CP-nets) and the
basic thoughts (e.g., the several behavioural houses akin to deadlocks, fairness
and domestic markings). It offers an in depth presentation of many smaIl examples
and a short evaluation of a few commercial functions. It introduces the formal
analysis equipment. FinaIly, it encompasses a description of a collection 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 amount is to coach the reader how to
construct CPN versions and the way to examine those through simulation.
The moment quantity incorporates a particular presentation of the idea in the back of the
formal research tools - specifically prevalence graphs with equivalence
classes and place/transition invariants. It additionally describes how those research methods
are supported by means of laptop instruments. components of this quantity are particularly theoretical
while different elements are software orientated. the aim of the quantity is to teach
the reader how one can use the formal research equipment. this can no longer inevitably require
a deep realizing of the underlying mathematical concept (although such
knowledge will in fact be a help).
The 3rd quantity encompasses a designated description of a range of industrial
applications. the aim is to rfile crucial principles and experiences
from the initiatives - in a fashion that is necessary for readers who don't yet
have own event with the development and research of huge CPN diagrams.
Another function is to illustrate the feasibility of utilizing CP-nets and the
CPN instruments for such initiatives.
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Additional info for Coloured Petri Nets: Basic Concepts, Analysis Methods and Practical Use
CP-net describing the distributed data base 24 1 Informal Introduction to Coloured Petri Nets expressions. This can be seen in Fig. 14 which shows two different versions of Receive a Message. For the left transition we only use two variables, which appear in several arc expressions. For the right transition we use many different variables, which are related by a guard. It should be obvious that the two transitions are equivalent. A step is enabled for one of the transitions iff it is enabled for the other.
11. Combine the subnets of the individual processes to a large model. At the end, we have to combine the individual subnets obtained for single processes (or classes of processes). This is usually done by means of the hierarchy constructs to be introduced in Chap. 3. 12. Making a CPN model is very similar to the construction of a program. This means that most qualities of good programming also are desirable qualities of CPN modelling. , how to combine top-down and bottom-up development). We must try to be as consistent as possible with respect to the level of detail and with respect to the extent of our model.
2). , an extra e-token on S). This cannot lead to a deadlock, because deadlocks appear when we have too few resource tokens, and thus an extra resource token cannot cause a deadlock. Is the argument above convincing? At a first glance: yes! However, the argument is wrong. Adding the extra s-resource actually means that we can reach a deadlock. This can be seen by letting the two p-processes advance from state B to state D, while the q-processes remain in state A. Hopefully, this small example demonstrates that informal arguments about behavioural properties are dangerous - and this is one of our motivations for the development of the more formal analysis methods described in Chap.
Coloured Petri Nets: Basic Concepts, Analysis Methods and Practical Use by Kurt Jensen