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Statistical analysis of queueing systems

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References

1977Fundamentals of Queueing Theory.2,930 cited
1953Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain1,082 cited
1956The Output of a Queuing System696 cited
1985Fundamentals of queueing theory (2nd ed.).603 cited
1980Principles of Discrete Event Simulation.538 cited
1963Stochastic Service Systems.327 cited
1987Fundamentals of Queueing Theory.278 cited
1957Waiting Times When Queues are in Tandem222 cited
1957Maximum Likelihood Estimates in a Simple Queue157 cited
1968The serial correlation coefficients of waiting times in a stationary single server queue109 cited
1981Estimation in single server queues83 cited

Cited by

2003Decompounding: an estimation problem for Poisson random sums75 cited
1996Maximum likelihood estimation for single server queues from waiting time data65 cited
1988Large sample inference from single server queues63 cited
2013Estimation of Traffic Intensity Based on Queue Length in a Single M/M/1 Queue50 cited
1997

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A Bayesian analysis of a queueing system with unlimited service

49 cited

1994Bayesian inference in Markovian queues48 cited

1992Empirical Bayes estimation for queueing systems and networks45 cited

2016Bayesian inference for queueing networks and modeling of internet services43 cited

2007Estimation for queues from queue length data42 cited

2021A survey of parameter and state estimation in queues41 cited

2000Prediction in Markovian bulk arrival queues37 cited

2011Estimation of Measures in M/M/1 Queue29 cited

1999On normal approximation for maximum likelihood estimation from single server queues24 cited

1996Empirical Bayesian analysis for traffic intensity:M/M/1 queues with covariates22 cited

1990Chapter 10 Queueing theory22 cited

2019Equivalence between Bayes and the maximum likelihood estimator in M/M/1 queue21 cited