Реферат: This paper defines a new model which incorporates three key ingredients of a large class of wireless communication systems: 1) spatial interactions through interference, (1) dynamics of the queueing type, with users joining and leaving, and 2) carrier sensing and collision avoidance as used in, e.g., WiFi. In systems using (2), rather than directly accessing the shared resources upon arrival, a customer is considerate and waits to access them until nearby users in service have left. This new model can be seen as a missing piece of a larger puzzle that contains such dynamics as spatial birth-and-death processes, the Poisson-Hail model, and wireless dynamics as key other pieces. It is shown that, under natural assumptions, this model can be represented as a Markov process on the space of counting measures. The main results are then two-fold. The first result is on the shape of the stability region and, more precisely …

Библиографическая ссылка: Baccelli F. , Feng K. , Foss S.
Poisson Hail on a Wireless Ground
IEEE Transactions on Information Theory. 2026. V.72. N6. P.3651--3664.

Даты:

Поступила в редакцию:	19 дек. 2025 г.
Принята к публикации:	13 апр. 2026 г.
Опубликована в печати:	27 апр. 2026 г.

Идентификаторы БД: Нет идентификаторов