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The Cloud Computing is latest new computing paradigm where applications are provided across dynamic and geographically dispersed organization. The accurate modelling and simulation of flow of processes in cloud environment is an essential part of service level architecture. In this paper, an analytical model has been developed for identifying the pattern of inter-arrival processes and the service of processes. Empirical studies have shown that failure of processes after assignment to a suitable resource may affect the service pattern of the scheduling. Hence, the assumption that inter arrival, and service of processes are Poisson in nature does not always hold true, as it does not represent the real dynamics involved in service level cloud.
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