Statistical Inference for a two station tandem queue with atmost one customer to wait between the stations

Vaidya Nathan, Chandra Sekhar

Abstract


A maximum likelihood estimator (MLE), a consistent asymptotically normal (CAN) estimator and asymptotic confidence limits for the expected number of customers in the system for a sequential two station, single server system with Poisson input and exponential service, where no queue is allowed in front of station 1 and atmost one customer is allowed to wait between the stations and with blocking are obtained.


Keywords


CAN estimator - expected number of customers in the system - maximum likelihood estimator - multivariate central limit theorem - Slutsky theorem - tandem queue.

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DOI: http://dx.doi.org/10.18187/pjsor.v8i2.338

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Title

Statistical Inference for a two station tandem queue with atmost one customer to wait between the stations

Keywords

CAN estimator - expected number of customers in the system - maximum likelihood estimator - multivariate central limit theorem - Slutsky theorem - tandem queue.

Description

A maximum likelihood estimator (MLE), a consistent asymptotically normal (CAN) estimator and asymptotic confidence limits for the expected number of customers in the system for a sequential two station, single server system with Poisson input and exponential service, where no queue is allowed in front of station 1 and atmost one customer is allowed to wait between the stations and with blocking are obtained.


Date

2012-03-28

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol 8. No. 2, 2012



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810