Maximum likelihood estimation for single server queues from waiting time data

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Article ID:	iaor19993206
Country:	United States
Volume:	24
Issue:	1/4
Start Page Number:	155
End Page Number:	167
Publication Date:	Feb 1996
Journal:	Queueing Systems
Authors:	Bhat U. Narayan, Lund Robert B., Basawa Ishwar V.
Keywords:	GI/G/1 queues

Abstract:

Maximum likelihood estimators for the parameters of a GI/G/1 queue are derived based on the information on waiting times {Wt}, t = 1,..., n, of n successive customers. The consistency and asymptotic normality of the estimators are established. A simulation study of the M/M/1 and M/Ek/1 queues is presented.

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