@inproceedings{b207e27205db4e76ab0843caf73869e7,
title = "Study on transient queueing delay in a single-channel queueing model with setup and closedown times",
abstract = "A single-channel queueing model with finite buffer capacity, Poisson arrival stream and generally distributed processing times is considered. After each busy period the service station is being switched off but this operation requires a randomly distributed closedown time. Similarly, after the idle time, the first service in a new busy period is preceded by a random setup time, during which the processing is still suspended and the server achieves full readiness for the service process. A system of integral equations for transient conditional queueing delay distribution is derived, by using the idea of embedded Markov chain and the formula of total probability. The solution of the corresponding system written for Laplace transforms is obtained via the linear algebraic technique. Numerical examples are attached as well.",
keywords = "Closedown time, Finite buffer, Queueing delay, Setup time, Transient state",
author = "Kempa, \{Wojciech M.\} and Iwona Paprocka and Krzysztof Kalinowski and Cezary Grabowik and Damian Krenczyk",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.; 22nd International Conference on Information and Software Technologies, ICIST 2016 ; Conference date: 13-10-2016 Through 15-10-2016",
year = "2016",
doi = "10.1007/978-3-319-46254-7\_37",
language = "English",
isbn = "9783319462530",
series = "Communications in Computer and Information Science",
publisher = "Springer Verlag",
pages = "464--475",
editor = "Giedre Dregvaite and Robertas Damasevicius",
booktitle = "Information and Software Technologies - 22nd International Conference, ICIST 2016, Proceedings",
address = "Germany",
}