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Title: Stability of a G I / G / 1 queue : a survey
Authors: Shen, Yichi
Wu, Kan
Keywords: Engineering::Mechanical engineering
Issue Date: 2018
Source: Shen, Y., & Wu, K. (2018). Stability of a G I / G / 1 queue : a survey. Asia-Pacific Journal of Operational Research, 35(3), 1850015-. doi:10.1142/S021759591850015X
Journal: Asia-Pacific Journal of Operational Research
Abstract: Stability of queues is of fundamental importance in the application of queueing models. To establish the stability of a queue, one has to utilize a mathematical model to describe the evolution of the queue and then defines stability on the model. However, the types of stability are various according to their underlying processes. In this study, we survey the different underlying processes of a GI/G/1 queue, classify the various types of stability and study the relations among them. Furthermore, from the viewpoint of sample-path, we propose a new result regarding the growth rate of the queue time when the traffic intensity equals 1.
ISSN: 0217-5959
DOI: 10.1142/S021759591850015X
Rights: © 2018 World Scientific Publishing Co. & Operational Research Society of Singapore. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:MAE Journal Articles

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