Approximation of queueing systems with superposed Weibull inputs

A single-server queueing systems with the stationary superposed Weibull input processes and general class-dependent service times are considered. An approximating GI/G/ 1-type system is considered which the independent identically distributed interarrival times follow a stationary Palm distribution corresponding to the stationary superposed input process. We compare the simulation results of the original and approximating systems.