Optimal connection admission control in ATM networks

We characterize the achievable performance of ATM networks in terms of the offered traffic, the admissible region, and the revenue measure. We describe how the boundaries of admissible regions with convex complements may be linearized - thus reducing the admissible region - so as to obtain a convenient loss network representation. Asymptotic results for the achievable performance suggest that the potential reduction in revenue is immaterial in high-capacity networks. Numerical experiments confirm that the actual reduction is typically negligible, even in networks of moderate capacity.