TY - JOUR PB - ACM VL - 40 EP - 82 SN - 0163-5999 A1 - Casale, Giuliano A1 - Tribastone, Mirco SP - 73 Y1 - 2013/03// TI - Modelling exogenous variability in cloud deployments ID - eprints2604 AV - none N2 - Describing exogenous variability in the resources used by a cloud application leads to stochastic performance models that are difficult to solve. In this paper, we describe the blending algorithm, a novel approximation for queueing network models immersed in a random environment. Random environments are Markov chain-based descriptions of timevarying operational conditions that evolve independently of the system state, therefore they are natural descriptors for exogenous variability in a cloud deployment. The algorithm adopts the principle of solving a separate transient-analysis subproblem for each state of the random environment. Each subproblem is then approximated by a system of ordinary differential equations formulated according to a fluid limit theorem, making the approach scalable and computationally inexpensive. A validation study on several hundred models shows that blending can save up to two orders of magnitude of computational time compared to simulation, enabling efficient exploration of a decision space, which is useful in particular at design-time. JF - Performance Evaluation Review IS - 4 UR - http://dx.doi.org/10.1145/2479942.2479951 ER -