Analysis of Cumulative Distribution Function of the Response Time in Cloud Computing Systems with Dynamic Scaling

One of the key performance measures of cloud computing systems is the response time. However, the mean value of this characteristic does not give the full picture of quality of service. Therefore, we derive the cumulative distribution function (CDF) of the response time in terms of Laplace-Stieltjes transform and use it to evaluate moments of the response time. Moreover, we introduce a simplification of the mathematical model that significantly reduces computing complexity for the response time CDF and provide analysis of approximation accuracy of the simplified model. © 2018, Allerton Press, Inc.

Number of issue
1
Language
English
Pages
60-66
Status
Published
Volume
52
Year
2018
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University) Applied Probability and Informatics Department, Moscow, 117198, Russian Federation
Keywords
cloud computing; dynamic scaling; hysteretic control; queuing system; response time
Date of creation
19.10.2018
Date of change
15.02.2021
Short link
https://repository.rudn.ru/en/records/article/record/6975/
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