Modelling of a cloud platform that can provide the best quality of service (QoS) to minimise the average response times of its clients is investigated via an open Jackson network. Compact expressions for the input and output parameters and measures of the proposed model are presented. Designing of the model involves the performance measures of M/M1 + M2/1 queues with a K policy. This new cloud system is able to control virtual machines dynamically and to implement its operations to promote effectiveness in most of the commercial applications

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