Abstract
Motivated by applications to the performance analysis of wireless communication systems, we develop a constructive procedure to generate random spatial point patterns that are natural generalizations of the Poisson process. The special case of models that are multi-dimensional generalizations of the Markovian Arrival Processes (MAP) of Neuts are discussed in some detail with examples. Like their counterparts on the nonnegative half line, these spatial MAPs offer the versatility to model a wide variety of spatial dependencies and burstiness characteristics while maintaining computational tractability.
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