Petri nets are a graphical construction with clearly de ned semantics which can model
concurrent communicating systems in a formal manner similar to the way that automata
theory can model formal language theory(Petri, 1962). As Dr. Carl Petri
found the existing automata insu cient or too cumbersome for describing communicating
systems others have found Petri Nets to be too cumbersome for e ectively
reasoning about sophisticated, real world systems. In some cases these di culties
were overcome by extending the theory of Petri Nets. Dr. Kurt Jensen developed
the theory of Coloured Petri Nets (Jensen, 1981) for the purpose of generalizing and
simplifying complex Petri Net models. This work incorporates Coloured Petri Nets
and other theoretical extensions to describe a real world automated steel cutting system.
During the course of this investigation the paper will formalize colours in the
language of algebras and examine patterns related to timing conditions. / Thesis / Master of Science (MSc) / Petri nets can provide a graphical explanation of computer systems that have sophisticated communications. The graph has a precise mathematical meaning which allows it to be formally analyzed to prove many interesting properites of the net. There have been many extensions of the theory, some of which are incorporated to this model of an automated steel cutting machine. This thesis also presents the idea of colours, or data types, in the language of algebras.
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/18678 |
| Date | January 2016 |
| Creators | Adams, Stephen W. |
| Contributors | Janicki, Ryszard, Computer Science |
| Source Sets | McMaster University |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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