The document discusses a scalable, stochastic modeling approach for analyzing the availability of large-scale Infrastructure-as-a-Service (IaaS) clouds, addressing common component failures that can violate service level agreements (SLAs). It introduces an interacting Markov chain-based method to reduce analysis complexity, using fixed-point iteration to resolve dependencies among sub-models. The proposed model is shown to effectively handle large IaaS clouds, providing cloud service providers with valuable insights for system design and operational tuning to meet availability SLAs.