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Cloud computing adds more power to existing web cluster and internet technologies. A lot of research has been carried out to improve the security of such clouds. However, some users and organizations have not been able to exploit their benefits for several reasons: Firstly, some data is protected by privacy laws which prevent access or transport by third parties. Secondly some organisations fiercely protect their highly sensitive data behind their firewalls. Under these circumstances, the organisations need to use separate clusters for high security traffic and direct the rest of the traffic to a cloud cluster. This scenario leads to poor utilization in the local cluster which additionally increases the cost of the cloud. This paper introduces a model that solves the problem of cost minimisation by maximising local cluster utile and this is achieved by using a front-end load balancer for high and low security traffic. only when demand is high is low security traffic directed to the cloud. In this paper we analyze the model using queuing theory and π-calculus. The performance metrics of throughput, delay, utilization and blocking probability were obtained via simulation under a range of parameters.