@inproceedings{931738febd294f2097a7613e21c43915,
title = "Non-stationary analysis of queueing delay behavior in the GI/M/1/N-type queue with server working vacations",
abstract = "A finite-buffer GI/M/1/N-type queueing model with single working vacations is considered. Every time when the system becomes empty the server initializes an exponentially distributed single working vacation period, during which the processing of jobs is carried out with another (slower) rate. After finishing the vacation period the service process is being continued with normal (higher) speed. The next working vacation period is started at the next moment at which the queue empties and so on. The systems of integral equations for time-dependent queueing delay distributions, conditioned by the initial level of buffer saturation and related to each other, are built for systems beginning the operation in normal and working vacation modes, separately. The solutions for corresponding systems written for Laplace transforms are given explicitly using the linear algebraic approach.",
author = "Kempa, \{Wojciech M.\}",
note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.; 41st International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2015 ; Conference date: 08-06-2015 Through 13-06-2015",
year = "2015",
month = nov,
day = "30",
doi = "10.1063/1.4936698",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Vesela Pasheva and Nedyu Popivanov and George Venkov",
booktitle = "41st International Conference {"}Applications of Mathematics in Engineering and Economics{"}, AMEE 2015",
address = "United States",
}