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Your search keyword '"Mageed, Ismail A."' showing total 4 results
Start Over "Mageed, Ismail A." Topic stable m/g/1 queue
4 results on '"Mageed, Ismail A."'

1. Threshold Theorems for the Tsallisian and Rényian (T-R) Cumulative Distribution Functions (CDFs) of the Heavy-Tailed Stable M/G/1 Queue with Tsallisian and Rényian Entropic Applications to Satellite Images (SIs).

Author

Mageed, Ismail A.

Subjects
CUMULATIVE distribution function, REMOTE-sensing images, PROBABILITY theory, UNCERTAINTY (Information theory), INFORMATION theory
Abstract

This study of text discusses the analysis of the CDFs of service time in the stable M/G/1 queueing system with 'longrange interactions' of order q (where 0.5 < q < 1). This letter makes a significant contribution since it uses a novel methodology to show how the order q and the Lagrangian multiplier τs affect the increasability and decreasability themes of T-R CDFs. Additionally, the numerical data sets to show the validity of our analytical proofs are introduced. Some Tsallisian and Rényian Entropic applications to SIs are provided. Closing remarks entailed with the next phase of research are given. [ABSTRACT FROM AUTHOR]

Published
2023

2. The Entropian Threshold Theorems for the Steady State Probabilities of the Stable M/G/1 Queue with Heavy Tails with Applications of Probability Density Functions to 6G Networks.

Author

Mageed, Ismail A.

Subjects
PROBABILITY theory, PROBABILITY density function, QUEUING theory, MOBILE communication systems, MOBILE computing, COMPUTER science, INFORMATION theory
Abstract

An exposition is undertaken for the threshold of both Rényian and Tsallisian steady-state probabilities of the stable queueing system with 'long-range interactions' (LRIs). The current work is pivotal for developing revolutionary queueing theory and providing ground-breaking queueingtheoretic unifications with other scientific disciplines. The significance of the novel results of the current letter is based on the novelty of employing a mathematical approach to reveal the impact of the queueing parameters on the decidability procedure on the regions of increasability (decreasability). The numerical data sets to show the validity of our analytical proofs are introduced. Some influential applications of the probability density function (PDF) are presented. Finally, conclusions combined with some challenging open problems combined with the next phase of research are provided. [ABSTRACT FROM AUTHOR]

Published
2023

3. The Linearity Theorem of Rényian and Tsallisian Maximum Entropy Solutions of The Heavy-Tailed Stable M/G/1 Queueing System entailed with Potential Queueing-Theoretic Applications to Cloud Computing and IoT.

Author

Mageed, Ismail A. and Qichun Zhang

Subjects
QUEUING theory, CLOUD computing, INTERNET of things, INFORMATION theory, UNCERTAINTY (Information theory), STATISTICAL physics
Abstract

An exposition is undertaken for the linearity of both stable M/G/1 queue's non-extensive (Rényian)and (Tsallisian) solutions. This current letter provides the mathematical validity for the experimental setup of the information theoretic unification with queueing theory manifested by the Rényian, and Tsallisian linearity profile attained, which is a consequence of the progressive increase of the Shannonian squared coefficient of variation, through the provision of the mathematical proof. Potential applications of Queueing Theory (QT) to Cloud Computing (CC) and Internet of Things(IoT) are given. Closing remarks combined with open problems and future next phase research are provided. [ABSTRACT FROM AUTHOR]

Published
2023

4. The Rényian-Tsallisian Formalisms of the Stable M/G/1 Queue with Heavy Tails Entropian Threshold Theorems for the Squared Coefficient of Variation with Potential Applications to Computer Science, Engineering and Technology.

Author

Mageed, Ismail A. and Zhang, Kit Qichun

Subjects
QUEUING theory, INFORMATION theory, STATISTICAL physics, UNCERTAINTY (Information theory), LAGRANGE equations, COMPUTER science
Abstract

An explanation is made for the stable M/G/1 queueing system's threshold of Rényian and Tsallisian squared coefficient of variation (SCV) with "long-range interactions" of order, q (0.5

Published
2023

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