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 waiting-time 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 maximum-likelihood estimation of parameters from mixed Weibull distributions. The approach is particularly well-suited for obtaining the delay distribution beginning from raw interarrival and service-time 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