Article2001

On Estimation in M/G/c/c Queues

13 citations0/0 files storedInternational Transactions in Operational Research

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Advanced Queuing Theory Analysis Probability and Statistical Research Statistical Distribution Estimation and Applications

Abstract

We derive the minimum variance unbiased estimator (MVUE) and the maximum likelihood estimator (MLE) of the stationary probability function (pf) of the number of customers in a collection of independent M/G/c/c subsystems. It is assumed that the offered load and number of servers in each subsystem are unknown. We assume that observations of the total number of customers in the system are utilized because it may be impractical or impossible to observe individual server occupancies. Both estimators depend on the R distribution (the distribution of the sum of independent right truncated Poisson random variables) and R numbers.

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2009Comparison on five estimation approaches of intensity for a queueing system with short run 2006Nonparametric and simulated analysis of intensity for a queueing system 2006Interval estimation of mean response time for a G/M/1 queueing system: empirical Laplace function approach 2013Best Unbiased Estimation and CAN Property in the Stable M/M/1 Queue

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