This paper introduces and analyzes the Spatial Synchronous Markovian Arrival Process (Spatial SynchMAP), a novel extension of classical Markovian arrival processes that simultaneously captures temporal dynamics through a finite state space {1, ...,K} with transition matrix R, state-dependent exponential arrival rates, spatial dynamics via transition displacement kernels, state-specific spatial distributions, modulated transition matrix. The joint characteristic function, combining arrival counts and spatial positions.
Информационные технологии и математическое моделирование (ИТММ-2025) : материалы XXIV Международной конференции имени А. Ф. Терпугова, 20-25 октября 2025 г.. Томск, 2025. C. 278-285