Mathematical models for dimensioning of ATM networks

The dimensioning problem of asynchronous transfer mode (ATM) networks is considered to be complicated due to the heterogeneity of services and the statistical multiplexing gain resulting from the resource sharing of connections. In ATM networks, each connection can require a different bandwidth and the necessary bandwidth for connections is a complicated function of the number of connections, traffic parameters of each connection, and cell level quality of services, which makes the dimensioning problem considerably more difficult. In this paper, we propose mathematical models for dimensioning ATM networks, based on the virtual channel assignment problem, introduced by Kim (1995). Algorithms and numerical results are also presented