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• W2036469030 abstract "Timed Event Graphs (TEGs) are a specific class of Petri nets that have been thoroughly studied given their useful linear state representation in (Max,+) algebra. Unfortunately, TEGs are generally not suitable for modeling systems displaying resources sharing (or conflicts). In this paper, we show that if a system with conflicts is modeled using an extended class of TEGs: Conflicting Timed Event Graphs (CTEGs), it is quite possible to obtain an equivalent (Max,+) representation. More precisely, we prove that the evolution of a CTEG satisfies linear time-varying (Max,+) equations. In case of cyclic CTEGs, which are a natural model of many repetitive systems, we provide a standard time-invariant (Max,+) representation. Finally, a practical example (a Jobshop) is used for illustration to exhibit the interest of this investigation." @default.
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• W2036469030 date "2010-01-01" @default.
• W2036469030 modified "2023-09-29" @default.
• W2036469030 title "Linear Time-Varying (Max,+) Representation of Conflicting Timed Event Graphs" @default.
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• W2036469030 doi "https://doi.org/10.3182/20100830-3-de-4013.00050" @default.
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