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By considering an M | D | 1 queueing system, the maximum likelihood and consistent estimators of traffic intensity are derived by observing the number of entity arrivals during the service time of an entity. Uniform minimum variance unbiased estimators for the expected waiting times per entity in the system and queue are obtained. Further, Bayes estimators of traffic intensity, measures of system performance, minimum posterior risk, and minimum Bayes risk associated with these estimators are derived. Also, the Bayes estimator of traffic intensity and its risk function are derived under LINEX loss function. [ABSTRACT FROM AUTHOR]

A maximum likelihood estimator (MLE), a consistent asymptotically normal (CAN) estimator and asymptotic confidence limits for the expected number of customers in the system for a sequential two station, single server system with Poisson input and exponential service, where no queue is allowed in front of station 1 and atmost one customer is allowed to wait between the stations and with blocking are obtained. [ABSTRACT FROM AUTHOR]

Consider a single channel two station tandem queue such that no queue is allowed in front of station 1 but at most one customer is allowed to wait in between station 1 and station 2 and with blocking. Assuming that the arrival process and the service process are dependent, we obtain the steady state solution for the system when the joint distribution of interarrival time, service time at station 1 and service time at station 2 is trivariate exponential. Also, the moment and CAN estimators and asymptotic confidence limits for the expected number of customers in the system are obtained. [ABSTRACT FROM AUTHOR]