A General Queuing Model for Buffer Storage Problems

A mathematical model for a general buffered telecommunication system with the output channel available only periodically is constructed and analyzed in this paper. Under the assumptions that certain system parameters are continuous variables, it is shown that the probability density functions for the peaks and valleys of the buffer content are exactly the same as the density functions for the response time and the waiting time, respectively, for a
GI/G/1
queuing system, with the density functions for the arrival process
GI
and the service process
G
obtained from the statistical functions for the parameters of the original buffered system.