Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Ismail’s Ratio Conquers New Horizons the Non-stationary M/D/1 Queue’s State Variable Closed Form Expression

Version 1 : Received: 7 February 2024 / Approved: 9 February 2024 / Online: 9 February 2024 (11:17:53 CET)
Version 2 : Received: 7 February 2024 / Approved: 10 February 2024 / Online: 12 February 2024 (12:12:35 CET)

How to cite: A Mageed, D.I. Ismail’s Ratio Conquers New Horizons the Non-stationary M/D/1 Queue’s State Variable Closed Form Expression. Preprints 2024, 2024020548. https://doi.org/10.20944/preprints202402.0548.v2 A Mageed, D.I. Ismail’s Ratio Conquers New Horizons the Non-stationary M/D/1 Queue’s State Variable Closed Form Expression. Preprints 2024, 2024020548. https://doi.org/10.20944/preprints202402.0548.v2

Abstract

This paper investigates the search for an exact analytic solution to a temporal first-order differential equation that represents the number of customers in a non-stationary or time-varying

Keywords

Time Varying  queueing system; number of customers; mean arrival rate; time; The Pointwise Stionary Fluid Flow Approximation(PSFFA); Time Varying queueing systems(TVQSs)

Subject

Computer Science and Mathematics, Probability and Statistics

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