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Your search keyword '"Mageed, Ismail A."' showing total 4 results
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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. Formalism of the Rényian Maximum Entropy (RMF) of the Stable M/G/1 queue with Geometric Mean (GeoM) and Shifted Geometric Mean (SGeoM) Constraints with Potential GeoM Applications to Wireless Sensor Networks (WSNs).

Author

Mageed, Ismail A.

Subjects
MAXIMUM entropy method, ENTROPY (Information theory), UNCERTAINTY (Information theory), WIRELESS sensor networks, QUEUING theory, INFORMATION theory
Abstract

A theoretical approach for creating power law behaviour in broadband communication networks with GeoM or SGeoM specifications utilizing the Rényian maximum entropy functional formalism is undertaken. When specifying the SGeoM, the special case of M/M/1 queue's equilibrium distribution emerges. The suggested method simplifies closed-form equations for a queueing distribution, and the service time density and cumulative distribution functions reduce to the appropriate Rényian, Tsallisian, and Shannonian situations. The concept works well in power law activated - communication networks. Some influential applications of GeoM to WSNs 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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