Abstract | ||
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This paper proposes a model for invariant resource sharing problems in dioid algebra. A strong motivation for investigating the issue is the absence of a general systematic technique which can be used to tackle these problems. (min, +) constraints have been developed to handle resource sharing in Discrete-Event Dynamic Systems. In particular, the part that can be modeled by a Timed Event Graph induce (min, +)-linear equations which are constrained by the resource availability. The proposed algebraic model has been proved to describe the actual behavior of the systems dealt with. This paper will show two examples of systems that are modeled and controlled by means of this approach. |
Year | DOI | Venue |
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2009 | 10.1109/TSMCA.2009.2019867 | IEEE Transactions on Systems, Man, and Cybernetics, Part A |
Keywords | DocType | Volume |
general systematic technique,dioid algebra,invariant resource,dioid model,linear equation,discrete-event dynamic systems,resource availability,proposed algebraic model,actual behavior,timed event,resource sharing,availability,computer science,discrete event dynamic system,algebra,petri nets,resource management,linear equations,control systems,petri net,switches,operations research | Journal | 39 |
Issue | ISSN | Citations |
4 | 1083-4427 | 1 |
PageRank | References | Authors |
0.37 | 5 | 6 |
Name | Order | Citations | PageRank |
---|---|---|---|
Aurélien Corréïa | 1 | 1 | 0.37 |
Abdeljalil Abbas-Turki | 2 | 64 | 9.53 |
R Bouyekhf | 3 | 20 | 3.71 |
Abdellah El Moudni | 4 | 153 | 26.13 |
Abbas-Turki, A. | 5 | 1 | 0.37 |
El Moudni, A. | 6 | 34 | 5.56 |