The analysis, optimization, and simulation of a two-stage tandem queueing model with hyperexponential service time at second stage
type: Item
instance of: scholarly article
title: The analysis, optimization, and simulation of a two-stage tandem queueing model with hyperexponential service time at second stage
zbMATH Open document ID: 1394.90205
DOI: 10.1155/2015/165219
author: Murat Sağır
author: Erdinç Yücesoy
author: Müjgan Zobu
author: Vedat Sağlam
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The aim of this paper is to analyze a tandem queueing model with two stages. The arrivals to the first stage are Poisson stream and the service time at this stage is exponential. There is no waiting room at first stage. The service time is hyperexponential and no waiting is allowed at second stage. The transition probabilities and loss probabilities of this model are obtained. In addition, the loss probability at second stage is optimized. Performance measures and the variance of the numbers of customers of this tandem queueing model are found. It is seen that the numbers of customers in first stage and second stage are dependent. Finally we have simulated this queueing model. For different values of parameters, exact values, simulated values, and optimal values of obtained performance measures of this model are numerically shown in tables and graphs.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 6925636
Wikidata QID: Q59117446
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/165219
OpenAlex ID: W2139072873
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description: scientific article; zbMATH DE number 6925636