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In this letter, we analyze the stable packet arrival rate region in a discrete-time slotted random access network characterized by transmitters arranged according to a Matérn hard-core point process. Each transmitter, paired with a fixed-distance receiver, transmits packets with probability p. Our primary contribution is the derivation of both sufficient and necessary conditions for ε-stability in this network setting. This analysis offers new insights into network behavior, influencing design and optimization of modern wireless communication systems under probabilistic transmission scenarios.
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Chen et al. (2024) studied this question.
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