M[x]/G/1 Multistage Queue with Stand-by Server During Main Server’s Interruptions Article Swipe

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Yuvarani Chandrasekaran , C. Vijayalakshmi ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.11591/ijeecs.v11.i1.pp275-283

This paper investigates a multistage batch arrival queue with different server interruptions and a second server replaces the main server during the interruptions. The different server interruptions are assumed to be: multiple vacation, extended vacation, breakdown with delay time and server under two phases of repair. Customers are assumed to arrive in batches according to Poisson process and a single server provides service to the customers. When the main server is inactive due to the interruptions, stand-by server provide service to the arrivals. In addition, customers may renege during server breakdown or during server vacation due to impatience. Transient solution and the corresponding steady state solution is derived using supplementary variable technique.

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Server farm Queue Computer science Computer network Service (business) Poisson process Operating system Server Poisson distribution Real-time computing Client–server model Mathematics Statistics Business Marketing

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Type: article
Language: en
Landing Page: http://doi.org/10.11591/ijeecs.v11.i1.pp275-283
PDF: https://ijeecs.iaescore.com/index.php/IJEECS/article/download/8968/8783
OA Status: diamond
Cited By: 3
References: 4
Related Works: 10
OpenAlex ID: https://openalex.org/W2800161086

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DOI: https://doi.org/10.11591/ijeecs.v11.i1.pp275-283

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Title: M[x]/G/1 Multistage Queue with Stand-by Server During Main Server’s Interruptions

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Type: article

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Language: en

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Publication year: 2018

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Publication date: 2018-07-01

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Authors: Yuvarani Chandrasekaran, C. Vijayalakshmi

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Landing page: https://doi.org/10.11591/ijeecs.v11.i1.pp275-283

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PDF URL: https://ijeecs.iaescore.com/index.php/IJEECS/article/download/8968/8783

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Concepts: Server farm, Queue, Computer science, Computer network, Service (business), Poisson process, Operating system, Server, Poisson distribution, Real-time computing, Client–server model, Mathematics, Statistics, Business, Marketing

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Cited by: 3

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