Change point estimation in an M/M/2 queue with heterogeneous servers

The change point problem in the inter-arrival time of an M/M/2 queue with heterogeneous servers is studied here. In this model, it is assumed that the queue is in a steady state and that customers are served by the fastest available server and that there is no transfer of customers between servers....

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Bibliographic Details
Published in:Mathematics and computers in simulation 2023-10, Vol.212, p.182-194
Main Authors: Singh, Saroja Kumar, Acharya, Sarat Kumar, Cruz, F.R.B., Cançado, André L.F.
Format: Article
Language:English
Subjects:
[formula omitted] model
Change point
Heterogeneous servers
Likelihood ratio
Maximum likelihood estimators
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Summary:The change point problem in the inter-arrival time of an M/M/2 queue with heterogeneous servers is studied here. In this model, it is assumed that the queue is in a steady state and that customers are served by the fastest available server and that there is no transfer of customers between servers. Maximum likelihood estimators are deducted for the arrival rates after and before the change point and for the service rates. Monte Carlo simulation results are presented that attest to the effectiveness and efficiency of the deduced estimators.
ISSN:0378-4754
1872-7166
DOI:10.1016/j.matcom.2023.04.022