Response time analysis in terms of laplace-stieltjes transform for cloud computing system with hysteretic control and limited simultaneous activations

In the paper, cloud computing system with dynamic scaling is analyzed in terms of multiserver queuing system with hysteretic control of active server numbers based on queue length thresholds, and noninstantaneous server activation. To decrease computing complexity of the algorithms for evaluation of response time characteristics, we provide the analysis under simplifying assumption that only three servers may run activation procedures simultaneously Recurrent algorithm for Laplace-Stieltjes transform of the response time and the sojourn time is developed. The algorithm is used to analyze response time characteristics of a cloud computing system. Copyright © 2016 for the individual papers by the papers' authors.