This paper presents a novel mathematical framework utilizing an M/M/1 queuing algorithm with non-preemptive priority, modeled using SimEvents in MATLAB. The proposed framework evaluates the main Quality of Services (QoS) metric, specifically average delays across high, medium, and low priority queues. Comparison between the simulated M/M/1 queuing model and its theoretical calculations demonstrated close alignment, with the simulated results closely approximating the theoretical values. This validation confirms the effectiveness of the simulation model in representing the theoretical framework. Additionally, the framework complies with the IEEE 802.15.6 standard by maintaining average delays below the 125 ms threshold across all priority levels.
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