Providers of cloud software services are concerned about being cost- and energy-efficient in their service delivery, while providing a quality of service in accordance with the end-users' requirements. We present several models for a multi-tier service deployment problem where various types of virtual machines, with different functionality, are mapped to physical nodes while considering performance requirements and the energy costs of the service provider. In order to satisfy the performance requirements the provider might need to deploy several, identical virtual machines of a given type. Numerical computational results are shown for some of the models.
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