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Estimation of waiting time distribution in an M/M/1 Queue

Content Provider	Springer Nature Link
Author	Chowdhury, Shovan Mukherjee, S. P.
Copyright Year	2011
Abstract	Estimation of waiting time distribution in the form of its right tail area, known as exceedance probability is carried out in an M/M/1/FCFS/ ∞ / ∞ queue with the help of data consists of non zero waiting time of randomly chosen customer from n independent queues and number of queues with zero waiting time. In the first section, MLE of rate parameters and exceedance probability are obtained and their large sample behaviour is studied. Next section, Bayes estimators of the same parametric function along with the minimum Bayes risks have been derived under squared error loss using McKay’s Bivariate Gamma as prior and also independent Gamma as prior with the prior for arrival rate being truncated between 0 and μ. Some numerical calculations are shown in the last section.
Starting Page	306
Ending Page	317
Page Count	12
File Format	PDF
ISSN	00303887
Journal	OPSEARCH
Volume Number	48
Issue Number	4
e-ISSN	09750320
Language	English
Publisher	Springer-Verlag
Publisher Date	2012-01-05
Publisher Place	India
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	M/M/1 queue Exceedance probability McKay’s Bivariate Gamma distribution Bayes estimator Minimum Bayes risk Operations Research/Decision Theory Mathematics Management/Business for Professionals
Content Type	Text
Resource Type	Article
Subject	Management Science and Operations Research Management Information Systems Information Systems Computer Science Applications

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