CLOUD STORAGE FACILITY AS A FLUID QUEUE CONTROLLED BY MARKOVIAN QUEUE
Autor: | A. H. El-Baz, A. M. Darwiesh, A. M. K. Tarabia |
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Rok vydání: | 2020 |
Předmět: |
Statistics and Probability
Computer science business.industry Markov process 020206 networking & telecommunications 02 engineering and technology Management Science and Operations Research 01 natural sciences Industrial and Manufacturing Engineering 010104 statistics & probability symbols.namesake 0202 electrical engineering electronic engineering information engineering Fluid queue symbols 0101 mathematics Statistics Probability and Uncertainty business Cloud storage Queue Computer network |
Zdroj: | Probability in the Engineering and Informational Sciences. 36:237-253 |
ISSN: | 1469-8951 0269-9648 |
DOI: | 10.1017/s0269964820000613 |
Popis: | Cloud storage faces many problems in the storage process which badly affect the system's efficiency. One of the most problems is insufficient buffer space in cloud storage. This means that the packets of data wait to have storage service which may lead to weakness in performance evaluation of the system. The storage process is considered a stochastic process in which we can determine the probability distribution of the buffer occupancy and the buffer content and predict the performance behavior of the system at any time. This paper modulates a cloud storage facility as a fluid queue controlled by Markovian queue. This queue has infinite buffer capacity which determined by the M/M/1/N queue with constant arrival and service rates. We obtain the analytical solution of the distribution of the buffer occupancy. Moreover, several performance measures and numerical results are given which illustrate the effectiveness of the proposed model. |
Databáze: | OpenAIRE |
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