Probabilistic models for evaluating the performance of cloud computing systems with web interface

For cloud computing systems with web interface a set of probabilistic models is proposed. At the same time a model of Java applications with a web interface based on servlet and filters is considered. These models are based on queuing theory and extend its applications by studying the multichannel systems with “warm-up”, “cooling” and phase-type approximation of Markovian and non-Markovian processes. Transition diagrams and matrices for the microstates of queuing systems being models of applications with a web interface are described, and a scheme for computing the stationary probability distributions for requests number, waiting time and expected time in system is being developed. The paper discusses the received computation results of the proposed modeling approach and their application to assessing the performance of the cloud systems using applications based on servlet and filters.