Araştırma Makalesi

Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable M/G/1 Queue with Significant Applications of M/G/1 Queue Theory to Augmented Reality (AR)

Cilt: 12 Sayı: 2 30 Ağustos 2024
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Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable M/G/1 Queue with Significant Applications of M/G/1 Queue Theory to Augmented Reality (AR)

Öz

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 M/G/1 queue theory to AR are given. Some challenging open problems are addressed combined with closing remarks and future research directions.

Anahtar Kelimeler

Kaynakça

  1. [1] I.A.Mageed, et al, “M/G/1 queue with Balking Shannonian Maximum Entropy Closed Form Expression with Some Potential Queueing Applications to Energy”, 2022 Global Energy Conference (GEC). IEEE, 2022.
  2. [2] E.T.Jaynes, “Information Theory and Statistical Mechanics”, Physical Review, 106, 1957, 620 - 630.
  3. [3] E.T.Jaynes, E.T., “Where do we Stand on Maximum Entropy?”, in Proc. The Maximum Entropy Formalism Conference, M.I.T., USA, 1978.
  4. [4]S.-C.Fang,et al, “Entropy optimization and mathematical programming,1997, Kluwer Academic Publishers, Boston.
  5. [5] J.Shore, and R. Johnson, “Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy”, IEEE Transactions onInformation Theory,1980, 26, 26-37.
  6. [6] J.Shore, “Information theoretic approximations for M/G/1 and G/G/1 queuing systems”,1982, Acta Informatica, 17, 43.
  7. [7] J.Cantor,et al, “Information theoretic analysis for a general queueing system at equilibrium with application to queues in tandem”, Acta Informatica,1986, 23 ,657-678.
  8. [8] F.A.Haight, “Queueing with Balking”, Biometrika, 1957,44 (1957) 360-369.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Bilgisayar Yazılımı

Bölüm

Araştırma Makalesi

Erken Görünüm Tarihi

17 Ekim 2024

Yayımlanma Tarihi

30 Ağustos 2024

Gönderilme Tarihi

24 Mayıs 2023

Kabul Tarihi

8 Ağustos 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 12 Sayı: 2

Kaynak Göster

APA
A Mageed, I. (2024). Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable M/G/1 Queue with Significant Applications of M/G/1 Queue Theory to Augmented Reality (AR). Balkan Journal of Electrical and Computer Engineering, 12(2), 137-143. https://doi.org/10.17694/bajece.1302056
AMA
1.A Mageed I. Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable M/G/1 Queue with Significant Applications of M/G/1 Queue Theory to Augmented Reality (AR). Balkan Journal of Electrical and Computer Engineering. 2024;12(2):137-143. doi:10.17694/bajece.1302056
Chicago
A Mageed, Ismail. 2024. “Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable M/G/1 Queue with Significant Applications of M/G/1 Queue Theory to Augmented Reality (AR)”. Balkan Journal of Electrical and Computer Engineering 12 (2): 137-43. https://doi.org/10.17694/bajece.1302056.
EndNote
A Mageed I (01 Ağustos 2024) Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable M/G/1 Queue with Significant Applications of M/G/1 Queue Theory to Augmented Reality (AR). Balkan Journal of Electrical and Computer Engineering 12 2 137–143.
IEEE
[1]I. A Mageed, “Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable M/G/1 Queue with Significant Applications of M/G/1 Queue Theory to Augmented Reality (AR)”, Balkan Journal of Electrical and Computer Engineering, c. 12, sy 2, ss. 137–143, Ağu. 2024, doi: 10.17694/bajece.1302056.
ISNAD
A Mageed, Ismail. “Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable M/G/1 Queue with Significant Applications of M/G/1 Queue Theory to Augmented Reality (AR)”. Balkan Journal of Electrical and Computer Engineering 12/2 (01 Ağustos 2024): 137-143. https://doi.org/10.17694/bajece.1302056.
JAMA
1.A Mageed I. Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable M/G/1 Queue with Significant Applications of M/G/1 Queue Theory to Augmented Reality (AR). Balkan Journal of Electrical and Computer Engineering. 2024;12:137–143.
MLA
A Mageed, Ismail. “Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable M/G/1 Queue with Significant Applications of M/G/1 Queue Theory to Augmented Reality (AR)”. Balkan Journal of Electrical and Computer Engineering, c. 12, sy 2, Ağustos 2024, ss. 137-43, doi:10.17694/bajece.1302056.
Vancouver
1.Ismail A Mageed. Shannonian Maximum Entropy Balking Threshold Mechanism (BTM) for a Stable M/G/1 Queue with Significant Applications of M/G/1 Queue Theory to Augmented Reality (AR). Balkan Journal of Electrical and Computer Engineering. 01 Ağustos 2024;12(2):137-43. doi:10.17694/bajece.1302056

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