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Cloud Computing is gaining a considerable attention in the past few years. It changes the way people acquire software and hardware as it provides them as services through internet on-demand following a pay-as-you-go financial model. With the exponential increase of such service, selecting the optimal provider based on predefined Quality of Service (QoS) requirements becomes crucial. The current techniques are just designed for performance evaluation and cost-benefit analysis; yet optimal service provider selection based on a group of QoS requirements is still uncovered as it should be. In this paper we propose a mathematical model addressing the Cloud service provider selection optimization problem based on QoS guarantees. The proposed model efficiently matches with the characteristics of market-oriented platforms covering a wide range of service provider selection problems. The efficiency of the proposed model is validated through simulation studies.