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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...
In this paper, we introduce a new model of urban traffic networks by using timed event graphs (TEG). Based on dioid algebra, the behavior of the system is described by (Max, +)-linear equations. This will allow to approach the traffic control problems which rise issues of cycle times and of synchronization. As a result, we show how we can solve a non-null initial marking problem inherent in dioid...
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