Confidence interval for M/M/2 queue with heterogeneous servers
type: Item
instance of: scholarly article
title: Confidence interval for M/M/2 queue with heterogeneous servers
zbMATH Open document ID: 0723.60115
DOI: 10.1016/0167-6377(91)90094-6
author: Sudha Jain
author: J. G. C. Templeton
published in: Operations Research Letters
publication date: 1991-01-01T00:00:00Z
review text: The authors use the results of \textit{U. Dave} and \textit{Y. K. Shah} [J. Oper. Res. Soc. 31, 423-426 (1980; Zbl 0447.62078)]. Dave and Shah estimated the arrivals and service rates based on maximum likelihood principles assuming the queue in equilibrium. In this paper, \textit{H. W. Lilliefors}'technique [Oper. Res. 14, 723-727 (1966)] is employed to derive the confidence intervals for the parameters of M/M/2 queue with heterogeneous servers. In this queueing system, customers wait in line according to their arrival. When both servers are idle, the faster server is scheduled for service before the slower one. The average number of customers N in the system is given by \textit{K. S. Trivedi} [Probability and statistics with reliability, queueing, and computer science applications (1982; Zbl 0513.60001, Zbl 0513.60002)] and in another form by the authors of this note.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 62M99
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 4192847
zbMATH Keywords: maximum likelihood principles
zbMATH Keywords: queue with heterogeneous servers
MaRDI profile type: Publication
full work available at URL: 0167-6377(91)90094-6
OpenAlex ID: W2089726978
cites work: Maximum Likelihood Estimates in a Simple Queue
cites work: Maximum Likelihood Estimates in a M/M/2 Queue with Heterogeneous Servers
cites work: Q3806522
cites work: Q3658792
description: scientific article; zbMATH DE number 4192847