Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable Queue with Significant Applications of Queue Theory to Augmented Reality (AR)

An exposition is undertaken to analytically derive validate the Shannonian Maximum Entropy BTM for the underlying stable queue. Most importantly, the analytic derivation of the upper and lower bounds 0f the absolute difference between Shannonian Cumulative service time distribution functions (CDFs) with and without balking. Typical numerical experiments are provided. Additionally, some applications of queue theory to AR are given. Some challenging open problems are addressed combined with closing remarks and future research directions.

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Publication Details

Journal
Balkan Journal of Electrical and Computer Engineering
Published
2024-08-08
DOI
https://doi.org/10.17694/bajece.1302056
Primary Topic
Advanced Queuing Theory Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable Queue with Significant Applications of Queue Theory to Augmented Reality (AR)

Ismail A Mageed
Balkan Journal of Electrical and Computer Engineering
Advanced Queuing Theory Analysis
article

Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable Queue with Significant Applications of Queue Theory to Augmented Reality (AR)

Ismail A Mageed
article en

Abstract

An exposition is undertaken to analytically derive validate the Shannonian Maximum Entropy BTM for the underlying stable queue. Most importantly, the analytic derivation of the upper and lower bounds 0f the absolute difference between Shannonian Cumulative service time distribution functions (CDFs) with and without balking. Typical numerical experiments are provided. Additionally, some applications of queue theory to AR are given. Some challenging open problems are addressed combined with closing remarks and future research directions.

Balkan Journal of Electrical and Computer Engineering
University of Bradford (GB)
Openalex Percentile: Top 78%
Advanced Queuing Theory Analysis
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