Abstract—Medium Earth Orbit (MEO) satellites represent a high-speed satellite technology poised to supplant geostationary satellites in telecommunication roles. However, the utilization of MEO satellites for this purpose encounters a significant hurdle in the form of limited frequency spectrum resources. This scarcity necessitates a delicate balance between network efficiency and quality. To address this challenge, applying tele traffic theory becomes imperative for optimizing the performance of MEO satellite communication systems. The proposed solution involves the implementation of an overlap algorithm within satellite beams and a concurrent overlay algorithm across available channels. The overlap algorithm extends the call connection duration by introducing increased waiting time without prematurely terminating connections. In tandem, the overlay algorithm dynamically allocates channels through the dynamic channel allocation method, enhancing channel utilization. A notable channel efficiency of 43% is achieved through the synergy of these algorithms. Optimal performance materializes when configuring five channels within microcells and 11 channels within macrocells, delineating the best utilization strategy for maximizing system performance while ensuring efficient channel allocation.