
Accession Number : ADA139534
Title : A Note on Mixed Exponential Approximations for GI/G/1 Waiting Times.
Descriptive Note : Technical rept.,
Corporate Author : VIRGINIA UNIV CHARLOTTESVILLE DEPT OF SYSTEMS ENGINEERING
Personal Author(s) : Harris,C M
PDF Url : ADA139534
Report Date : Feb 1984
Pagination or Media Count : 17
Abstract : A method is offered for the effective estimation of the stationary waitingtime distribution of the GI/G/1 queue by a (possibly nonconvex) mixed exponential CDF. The approach relies on obtaining a generalized exponential mixture as an approximation for the distribution of the service times. This is done by the adaptation of a nonlinear optimization algorithm previously developed for the maximumlikelihood estimation of parameters from mixed Weibull distributions. The approach is particularly wellsuited for obtaining the delay distribution beginning from raw interarrival and servicetime data. (Author)
Descriptors : *Statistical inference, *Approximation(Mathematics), *Queueing theory, *Exponential functions, Nonlinear analysis, Algorithms, Optimization, Stationary, Maximum likelihood estimation, Weibull density functions, Computations, Computer applications
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE