The document presents a stochastic model for evaluating performance and quality of service (QoS) in Infrastructure as a Service (IaaS) cloud computing systems, addressing challenges in data center management and resource allocation. It emphasizes a scalable analytical framework that incorporates multiple resource metrics and resiliency analysis while contrasting this approach with limitations of simulation and conventional experiments. The proposed model integrates advanced concepts like VM multiplexing and cloud federation, allowing for comprehensive evaluations of resource management strategies under different operational conditions.