Bayesian Estimation of Parameters and Measures of Effectiveness in an M|Er|1 Queueing Model

Abstract

Abstract We obtain Bayes estimator and its posterior Bayes risk of traffic intensity for the queueing model under the squared error loss function (SELF), when the observed data is on independent inter-arrival times and service times. We also obtain the Bayes estimators and their posterior Bayes risk of other system performance measures under SELF. The Bayes estimators are compared against the maximum likelihood estimators through simulation. The proposed Bayesian methodology is carried out for a real data observed on an ATM service point of a bank.