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Cloud-based solution adoption is becoming an indispensable strategy for enterprises, since it brings many advantages, such as low cost. On the other hand, to attend this demand, cloud providers are facing a great challenge regarding their resource management: how to provide services with high availability relying on finite computational resources and limited physical infrastructure? Understanding the components and operations of cloud data center is a key point to manage resources in an optimal way and to estimate how physical and logical failures can impact on users’ perception. This book chapter aims to explore computational modeling theories in order to represent a cloud infrastructure focusing on how to estimate and model cloud availability.