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We show that by appropriately composing these two classes of models it is possible to leverage on their respective advantages.To this end, we propose an interface between components that are modeled using Real-Time Calculus [Chakraborty, Künzli and Thiele, DATE 2003] and those that are modeled using Event Count Automata [Chakraborty, Phan and Thiagarajan, RTSS 2005]. The resulting modeling technique is as expressive as Event Count Automata, but is amenable to more ef cient analysis. We illustrate these advantages using a number of examples and a detailed case study.