REA Press null REA Press3042-13303042-1330 REA Press https://doi.org/10.48313/uda.v1i1.31 Research Article State variable, Mean arrival rate, Time, Time-dependent root parameter, PSFFA, Ultra-low latency, Autonomous driving service Stability and randomness of nonstationary D/M/1 queue's GI/M/1 PSFFA model with ultra-low latency for autonomous drivingStability and randomness of nonstationary D/M/1 queue's GI/M/1 PSFFA model with ultra-low latency for autonomous driving A Mageed Ismail School of Computer Science, AI, and Electronics, Faculty of Engineering and Digital Technologies, University of Bradford, United Kingdom. Becheroul Amina Department of Mathematics, Faculty of Exact Sciences and Informatic, Hassiba Benbouali University of Chlef, Algeria. 06 2024 22 06 2024 1 1 © 2024 REA Press 2024

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 Stability and randomness of nonstationary D/M/1 queue's GI/M/1 PSFFA model with ultra-low latency for autonomous driving

The current work reveals the fine-tuning between stability zones and randomness of the GI/M/1 Pointwise Stationary Fluid Flow Approximation (PSFFA) model of the nonstationary D/M/1 queueing system. More specifically, this provides more insights into developing a contemporary PSFFA theory that unifies nonstationary queueing theory with chaos theory and fields in theoretical physics and chaotic systems. This opens new grounds for stability analysis of nonstationary queueing systems. A notable application of the GI/M/1 queueing model to achieve ultra-low latency of autonomous driving service is highlighted. Concluding remarks are given on future avenues of research.

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