間時共控候伺系統之研究

Abstract

The paper presents a detailed study of a discrete time common control delay queuing system. The system considered in the paper has a single server and single common control operator. Cutomers arrive following a binomial distribution, both the operating time of the common control service time of server are independent random processes with general probability distribution. Queue discipline is first-come first-served. The generating functions of the stationary state probabilities of the system on the regeneration points being defined and of the waiting time probabilities are presented. The mean queue length and mean waiting time are also obtained.