Asymptotic evaluation of blocking probabilities in a hierarchical cellularmobile network

This paper investigates blocking probabilities obtained from multidimension al truncated Poisson distributions. For blocking probabilities typically ar ising in layered cellular mobile communications networks, the large deviati ons results of Gazdzicki et al. [9] are extended to state spaces determined by multiple constraints. The results yield asymptotically exact expression s that provide an accurate approximation of probabilities up to 1%, which c onsiderably extends the applicability of large deviations results and enabl es efficient approximation of blocking probabilities for realistic mobile c ommunications networks.