A Mathematical Model of Cloud Computing in the Economic Fractional Dynamic System
Document Type
Article
Publication Date
1-1-2018
Abstract
Computing is experiencing much change from client/server to the cloud. The interest for cloud infrastructures is not only introducing in the business domain, but likewise encompasses to government activities. In this work, we suggest a new dynamic system, equilibrium of cloud computing based on fractional calculus. In our preparation, each agent (i.e., each company or government agency) determines between going to appliance the customary on-site computing pattern and acting to the cloud computing model. In this model, separately agent will optimize an entire cost that involves of two mechanisms: the cost of implementing the cloud computing pattern and the effort cost of moving to the cloud computing pattern. We shall impose various types of two-dimensional fractional systems. The method of finding the solution is subjected to bifurcation and bifurcation boundaries to perform a good result in the cloud computing. This method is generalized to the fractional calculus. Therefore, the outcome lets us to training the dynamic evolution of the density of cloud computing.
Keywords
Cloud computing, Fractional calculus, Fractional dynamic system
Divisions
fsktm
Funders
Malaysian Ministry of Higher Education under the University Malaya High Impact Research Grant with reference UM.C/625/1/HIR/MOE/ FCSIT/03
Publication Title
Iranian Journal of Science and Technology, Transactions A: Science
Volume
42
Issue
1
Publisher
Springer International Publishing