This paper presents an approach to computing a safe upper bound of the response time of Distributed Control System (DCS). From a graphical model of live autonomous Timed Event Graphs (TEGs) with asynchronous links and weights, we draw algebraic representations of the time/event dynamics using the M〚γ,δ〛 dioid. By introducing scalers and two operators for handling batching or multiplying events, we are able to calculate the trajectories and transfer functions. With deterministic and worst-case hypotheses, the worst delays induced by the model is then computed, composing an upper bound for the response time. We validate the method through a numerical application, confronted to experimental measurements. The method is modular, can be automated and is easily used to any DCS modelled with TEGs.
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