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A mathematical model of cloud computing in the economic fractional dynamic system | ||
| Iranian Journal of Science | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 بهمن 1394 | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2016.3578 | ||
| نویسندگان | ||
| Rabha Ibrahim* 1؛ Abdullah Gani2 | ||
| 1University Malaya | ||
| 2Center of Mobile Cloud Computing Research, Faculty of Computer Science and Information Technology, University Malaya, 50603, Malaysia | ||
| چکیده | ||
| Computing is experiencing much change from client/server to the cloud. The interest for cloud infrastructures is not only introduce 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 in order 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. | ||
| کلیدواژهها | ||
| Fractional calculus؛ cloud computing؛ fractional dynamic system , multi-agent system | ||
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