The hidden transitions between stability, traffic intensity, and chaos of the non-stationary E_(-k) /M/۱ queueing system

سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 10

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شناسه ملی سند علمی:

JR_IJIEN-4-3_002

تاریخ نمایه سازی: 11 مرداد 1404

چکیده مقاله:

This research investigates the unexplored domain of negative k parameters within dynamic systems, focusing on their influence across stability, traffic intensity, and chaotic phases. Using an iterative computational framework, we examine the sigma function (σ) to characterize system responses under varying conditions of k and ρ. Visualizations and insights demonstrate transitions between phases for a first-time-ever exploration for negative values of the number of sets of phases, namely k, with novel findings extending foundational studies. This work establishes a baseline for further explorations of negative parameter spaces in complex systems. It is to be noted that the current work provides new contributions to Ismail’s Contemporary Pointwise Stationary Fluid Approximation Theory by offering a comprehensive computational framework for exploring dynamic system behaviors across varying parameters.This research investigates the unexplored domain of negative k parameters within dynamic systems, focusing on their influence across stability, traffic intensity, and chaotic phases. Using an iterative computational framework, we examine the sigma function (σ) to characterize system responses under varying conditions of k and ρ. Visualizations and insights demonstrate transitions between phases for a first-time-ever exploration for negative values of the number of sets of phases, namely k, with novel findings extending foundational studies. This work establishes a baseline for further explorations of negative parameter spaces in complex systems. It is to be noted that the current work provides new contributions to Ismail’s Contemporary Pointwise Stationary Fluid Approximation Theory by offering a comprehensive computational framework for exploring dynamic system behaviors across varying parameters.

کلیدواژه ها:

Pointwise Stationary Fluid Approximation (PSFFA) ، The non-stationary E-k/M/۱ queue ، k sets of phases

نویسندگان

Ismail A Mageed *

IEEE, IAENG UK President of the ISFSEA Society, UK

Abdul Raheem Nazir

Department of Computing University, Sheffield Hallam University, Sheffield, South Yorkshire, UK

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  • • Gutschmidt, R., & Carl, M. (2024). The negative theology ...
  • • Leon, A. (2023). Infinity, Language, and non-Euclidean Geometries. The ...
  • • Mageed, I. A. (2024a). Effect of the root parameter ...
  • • Mageed, I. A. (2024b). The Infinite-Phased Root Parameter for ...
  • • Mageed, I. A. (2024c). Ismail’s Threshold Theory to Master ...
  • • Mageed, I. A. (2024d). Solving the Open Problem of ...
  • • Mageed, I. A. (2024e). Upper and Lower Bounds of ...
  • • Mageed, I. A., & Zhang, K. Q. (2023). Solving ...
  • • Nodelman, U., & Zalta, E. N. (2024). Number Theory ...
  • • Wei-Ping, W., Tipper, D., & Banerjee, S. (1996, 24-28 ...
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