Analysis of Cumulative Distribution Function of the Response Time in Cloud Computing Systems with Dynamic Scaling
- Authors: Sopin E.S.1, Gorbunova A.V.1, Gaidamaka Y.V.1, Zaripova E.R.1
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Affiliations:
- Peoples’ Friendship University of Russia (RUDN University) Applied Probability and Informatics Department
- Issue: Vol 52, No 1 (2018)
- Pages: 60-66
- Section: Article
- URL: https://journals.rcsi.science/0146-4116/article/view/175453
- DOI: https://doi.org/10.3103/S0146411618010066
- ID: 175453
Cite item
Abstract
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.
About the authors
E. S. Sopin
Peoples’ Friendship University of Russia (RUDN University) Applied Probability and Informatics Department
Author for correspondence.
Email: sopin_es@rudn.university
Russian Federation, Moscow, 117198
A. V. Gorbunova
Peoples’ Friendship University of Russia (RUDN University) Applied Probability and Informatics Department
Email: sopin_es@rudn.university
Russian Federation, Moscow, 117198
Yu. V. Gaidamaka
Peoples’ Friendship University of Russia (RUDN University) Applied Probability and Informatics Department
Email: sopin_es@rudn.university
Russian Federation, Moscow, 117198
E. R. Zaripova
Peoples’ Friendship University of Russia (RUDN University) Applied Probability and Informatics Department
Email: sopin_es@rudn.university
Russian Federation, Moscow, 117198