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Maximum Likelihood Estimates in a M/M/2 Queue with Heterogeneous Servers

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

Abstract

Maximum likelihood estimates for the parameters involved in a stationary M/M/2 queueing process with heterogeneous servers are obtained to make inferences about arrival and service rates. The queue is considered to be in a state of equilibrium. One further extension is discussed.

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References

1957Maximum Likelihood Estimates in a Simple Queue 1970Two-Server Markovian Queues with Balking: Heterogeneous vs. Homogeneous Servers 1965Problems of Statistical Inference for Birth and Death Queuing Models

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2006Confidence intervals of mean response time for an M/G/1 queueing system: Bootstrap simulation 2004Maximum likelihood estimates and confidence intervals of an M/M/R/N queue with balking and heterogeneous servers 1991Confidence interval for M/M/2 queue with heterogeneous servers 1995Point Estimation and Confidence Intervals of the M/M/2/N Queue with Balking and Heterogeneity 2023Maximum likelihood and Bayesian estimation on M/M/1 queueing model with balking 2006Mean response time for a G/G/1 queueing system: Simulated computation 2017Parameter and State Estimation in Queues and Related Stochastic Models: A Bibliography

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