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The Queue Length of a GI/M/1 Queue with Set-Up Period and Bernoulli Working Vacation Interruption

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The Queue Length of a GI/M/1 Queue with Set-Up Period and Bernoulli Working Vacation Interruption


Li Tao



Li Tao "The Queue Length of a GI/M/1 Queue with Set-Up Period and Bernoulli Working Vacation Interruption" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-5, August 2021, pp.72-76, URL: https://www.ijtsrd.com/papers/ijtsrd43743.pdf

Consider a GI/M/1 queue with set-up period and working vacations. During the working vacation period, customers can be served at a lower rate, if there are customers at a service completion instant, the vacation can be interrupted and the server will come back to a set-up period with probability or continue the working vacation with probability , and when the set-up period ends, the server will switch to the normal working level. Using the matrix analytic method, we obtain the steady-state distributions for the queue length at arrival epochs.

GI/M/1; set-up period; working vacation; vacation interruption; Bernoulli


IJTSRD43743
Volume-5 | Issue-5, August 2021
72-76
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470
Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

International Journal of Trend in Scientific Research and Development - IJTSRD having online ISSN 2456-6470. IJTSRD is a leading Open Access, Peer-Reviewed International Journal which provides rapid publication of your research articles and aims to promote the theory and practice along with knowledge sharing between researchers, developers, engineers, students, and practitioners working in and around the world in many areas like Sciences, Technology, Innovation, Engineering, Agriculture, Management and many more and it is recommended by all Universities, review articles and short communications in all subjects. IJTSRD running an International Journal who are proving quality publication of peer reviewed and refereed international journals from diverse fields that emphasizes new research, development and their applications. IJTSRD provides an online access to exchange your research work, technical notes & surveying results among professionals throughout the world in e-journals. IJTSRD is a fastest growing and dynamic professional organization. The aim of this organization is to provide access not only to world class research resources, but through its professionals aim to bring in a significant transformation in the real of open access journals and online publishing.

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