DocumentCode
1235926
Title
An algebraic model for performance evaluation of timed event multigraphs
Author
Dai, Huaping ; Sun, Youxian
Author_Institution
State Key Lab of Ind. Control Technol., Zhejiang Univ., Hangzhou, China
Volume
48
Issue
7
fYear
2003
fDate
7/1/2003 12:00:00 AM
Firstpage
1227
Lastpage
1230
Abstract
This note demonstrated that a certain class of Petri nets called timed-event multigraphs can be represented as a set of linear equations by using a novel dioid. With this new algebra, some properties are presented in the text. An example is discussed in the end, and an interesting result is computed.
Keywords
Petri nets; algebra; Petri nets; algebraic model; dioid; discrete-event systems; linear equations; max-plus algebra; performance evaluation; timed-event multigraphs; Algebra; Counting circuits; Differential equations; Linear systems; Petri nets; Poisson equations; Routing; Stochastic processes; Sun; Supervisory control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2003.814266
Filename
1211219
Link To Document