Complex Token Petri nets

Author

Desrochers, Alan A. ; Deal, Thomas J. ; Fanti, Maria Pia

Author_Institution

Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA

Volume

2

fYear

2003

fDate

5-8 Oct. 2003

Firstpage

1153

Abstract

This paper will present a new extension to ordinary Petri nets that uses complex-valued tokens to increase their descriptive abilities while retaining their ease of analysis often lost in high-level Petri nets. By allowing two kinds of tokens, "real" and "imaginary", each place marking contains both quantity and type information. Complex Token Petri nets were designed to integrate seamlessly with other popular Petri net extensions such as timed nets, stochastic nets, and continuous nets. This simple and intuitive application of complex numbers to Petri nets provides a unique modeling tool.

Keywords

Petri nets; discrete event systems; modelling; supply chains; complex token Petri nets; complex-valued tokens; continuous nets; discrete event systems; imaginary tokens; modeling tool; real tokens; stochastic nets; supply chain modeling; timed nets; Discrete event systems; Image analysis; Petri nets; Production systems; Reachability analysis; Stochastic processes; Supply chains; Systems engineering and theory; Transportation; Vehicles;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2003. IEEE International Conference on

ISSN

1062-922X

Print_ISBN

0-7803-7952-7

Type

conf

DOI

10.1109/ICSMC.2003.1244567

Filename

1244567