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Estimation of Traffic Intensity Based on Queue Length in a Single M/M/1 Queue |
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| Authors: | Shovan Chowdhury S P Mukherjee |
| Institution: | 1. Department of Quantative Methods and Operations Management, Indian Institute of Management , Kozhikode , Kerala , India meetshovan@gmail.com;3. Department of Statistics , University of Calcutta , Kolkata , India |
| Abstract: | In this article, maximum likelihood estimator (MLE) as well as Bayes estimator of traffic intensity (ρ) in an M/M/1/∞ queueing model in equilibrium based on number of customers present in the queue at successive departure epochs have been worked out. Estimates of some functions of ρ which provide measures of effectiveness of the queue have also been derived. A comprehensive simulation study starting with the transition probability matrix has been carried out in the last section. |
| Keywords: | Bayes estimator Effectiveness measures Hypergeometric function M/M/1/∞ queue Queue length Root mean square error Transition Matrix |