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Solving the unsolvable non-stationary 𝑴/𝑬 𝒌 /𝟏 queue's state variable open problem
  • Dr Ismail A Mageed
Dr Ismail A Mageed

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This paper is a continuation on my revolutionary theory of solving the pointwise fluid flow approximation model for time-varying queues. Thus, the long-standing simulative approach has now been replaced by an exact solution by using a constant ratio 𝛽 (Ismail's ratio) , offering an exact analytical solution. The stability dynamics of the time-varying 𝑀/𝐸 𝑘 /1 queueing system are then examined numerically in relation to time, 𝛽, and the queueing parameters.
11 Feb 2024Submitted to TechRxiv
14 Feb 2024Published in TechRxiv