Informatics and Applications
2019, Volume 13, Issue 2, pp 109-116
A GAUSSIAN APPROXIMATION OF THE DISTRIBUTED COMPUTING PROCESS
- O. V. Lukashenko
- E. V. Morozov
- M. Pagano
Abstract
The authors propose a refinement of the stochastic model describing the dynamics of the Desktop Grid (DG) project with many hosts and many workunits to be performed, originally proposed by Morozov et al. in 2017. The target performance measure is the mean duration of the runtime of the project. To this end, the authors derive an asymptotic expression for the amount of the accumulated work to be done by means of limit theorems for superposed on-off sources that lead to a Gaussian approximation. In more detail, depending on the distribution of active and idle periods, Brownian or fractional Brownian processes are obtained. The authors present the analytic results related to the hitting time of the considered processes (including the case in which the overall amount of work is only known in a probabilistic way), and highlight how the runtime tail distribution could be estimated by simulation. Taking advantage of the properties of Gaussian processes and the Conditional Monte-Carlo (CMC) approach, the authors present a theoretical framework for evaluating the runtime tail distribution.
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[+] About this article
Title
A GAUSSIAN APPROXIMATION OF THE DISTRIBUTED COMPUTING PROCESS
Journal
Informatics and Applications
2019, Volume 13, Issue 2, pp 109-116
Cover Date
2019-06-30
DOI
10.14357/19922264190215
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
Gaussian approximation; distributed computing; fractional Brownian motion
Authors
O. V. Lukashenko , , E. V. Morozov , , and M. Pagano
Author Affiliations
Institute of Applied Mathematical Research of Karelian Research Centre of RAS, 11 Pushkinskaya Str., Petrozavodsk 185910, Republic of Karelia, Russian Federation
Petrozavodsk State University, 33 Lenin Str., Petrozavodsk 185910, Republic of Karelia, Russian Federation
University of Pisa, 43 Lungarno Pacinotti, Pisa 56126, Italy
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