Buffer-size and waiting-time calculations for random arrivals and periodically regular service

The problem of choosing the buffer size for a given waiting time or fractional loss in a situation where the input rate is Poissonian and the output rate is periodically regular is considered. The value of the results lies in that they give a practical way to a compromise between buffer fractional loss and buffer waiting time in those applications where both quantities are of interest. The periodically regular service-time distribution allows for more than one stream of queuing customers to be served by only one servicing channel.