Control of traffic intensity in hyperexponential and mixed Erlang queueing systems with a method based on SPRT
type: Item
instance of: scholarly article
title: Control of traffic intensity in hyperexponential and mixed Erlang queueing systems with a method based on SPRT
zbMATH Open document ID: 1296.90033
author: Müjgan Zobu
author: Vedat Sağlam
published in: Mathematical Problems in Engineering
publication date: 2014-10-13T00:00:00Z
review text: Summary: The control of traffic intensity \((\rho)\) is one of the important problems in the study of queueing systems. \textit{S. S. Rao} et al. [Opsearch 21, 63--80 (1984; Zbl 0546.60096)] developed a method to detect changes in the traffic intensity in queueing systems of the \(M/G/1\) and \(GI/M/c\) types based on the Sequential Probability Ratio Test (SPRT). In this paper, SPRT is theoretically investigated for two different phase-type queueing systems which consist of hyperexponential and mixed Erlang. Also, for testing \(H_0:\rho=\rho_0\) against \(H_1:\rho=\rho_1\), Operating Characteristic (OC) and Average Sample Number (ASN) functions are obtained with numerical methods using multipoint derivative equations according to different situations of \(\alpha\) and \(\beta\) type errors. Afterward, numerical illustrations for each model are provided with Matlab programming.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 93C95
zbMATH DE Number: 6354187
describes a project that uses: Matlab
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6354187