Performance bounds for cellular mobile communications networks with repeated attempts

This paper provides bounds for performance evaluation and dimensioning of mobile networks, taking into consideration repeated call attempts. We consider two 49-cell wrap-around architectures of digital cellular mobile communications networks based on: (1) a symmetric traffic scenario and (2) a highway. We assume Poisson arrivals, and exponential holding and sojourn times. Worst (M/M/k-type) and best (M/M/k/k-type) case scenarios are considered. Markov chain simulations are used to evaluate performance for both approaches. The M/M/k approach is accurately approximated by a Jackson network model. The performance difference between the scenarios is evaluated and compared.