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A linear-system-theoretic view of discrete-event processes and its use for performance evaluation in manufacturing. (English) Zbl 0557.93005
In the paper an analogy between general linear systems and a class of discrete-event systems is developed. Following this analogy, it is indicated that deterministic discrete-event systems can be viewed, in the sense of some appropriate algebra, as linear. A state space representation of discrete-event systems is then established, and the periodical steady-state behaviour of closed discrete-event systems is determined. The problem is characterized by an eigenvalue and eigenvector equation system and solved by a shortest path type algorithm. Last, the potentiality of the approach for performance evaluation of manufacturing systems is emphasized.
Reviewer: I.Virtanen

MSC:
93A10 General systems
05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
93C05 Linear systems in control theory
68R10 Graph theory (including graph drawing) in computer science
90B30 Production models
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