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Entropy 2015, 17(7), 4533-4546; doi:10.3390/e17074533

Reliability Analysis Based on a Jump Diffusion Model with Two Wiener Processes for Cloud Computing with Big Data

1
Graduate School of Science and Engineering, Yamaguchi University, Tokiwadai 2–16–1, Ube, Japan
2
Graduate School of Engineering, Tottori University, Minami 4–101, Koyama, Tottori, Japan
*
Author to whom correspondence should be addressed.
Academic Editor: Carlo Cafaro
Received: 16 April 2015 / Revised: 16 June 2015 / Accepted: 24 June 2015 / Published: 26 June 2015
(This article belongs to the Special Issue Dynamical Equations and Causal Structures from Observations)
View Full-Text   |   Download PDF [164 KB, uploaded 26 June 2015]   |  

Abstract

At present, many cloud services are managed by using open source software, such as OpenStack and Eucalyptus, because of the unification management of data, cost reduction, quick delivery and work savings. The operation phase of cloud computing has a unique feature, such as the provisioning processes, the network-based operation and the diversity of data, because the operation phase of cloud computing changes depending on many external factors. We propose a jump diffusion model with two-dimensional Wiener processes in order to consider the interesting aspects of the network traffic and big data on cloud computing. In particular, we assess the stability of cloud software by using the sample paths obtained from the jump diffusion model with two-dimensional Wiener processes. Moreover, we discuss the optimal maintenance problem based on the proposed jump diffusion model. Furthermore, we analyze actual data to show numerical examples of dependability optimization based on the software maintenance cost considering big data on cloud computing. View Full-Text
Keywords: reliability analysis; jump diffusion model; Wiener process; cloud computing; big data reliability analysis; jump diffusion model; Wiener process; cloud computing; big data
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Tamura, Y.; Yamada, S. Reliability Analysis Based on a Jump Diffusion Model with Two Wiener Processes for Cloud Computing with Big Data. Entropy 2015, 17, 4533-4546.

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