Obtaining packet response times for nonblocking ATM switches

In this paper, we propose an approach that yields accurate approximations for the packet response times in a generic ATM switch. The approach combines three existing methodologies: power series algorithm for light traffic, saturation analysis for heavy traffic, and the Newton–Padé rational approximation for curve fitting. This approach works especially well for small to medium size switches, for which the traditional assumption of the Poisson arrival to the transmission channels does not apply well. Numerical samples reveal a close agreement between the approximant and the simulation result.