@inproceedings{2de9b576dd864961a06043bc84d5b611,
title = "Transient queue-size distribution in a finite-capacity queueing system with server breakdowns and Bernoulli feedback",
abstract = "A finite-capacity queueing system with server breakdowns is investigated, in which successive exponentially distributed failure-free times are followed by repair periods. After the processing a customer may either rejoin the queue (feedback) with probability q, or definitely leave the system with probability 1 - q. The system of integral equations for transient queue-size distribution, conditioned by the initial level of buffer saturation, is build. The solution of the corresponding system written for Laplace transforms is found using the linear algebraic approach. The considered queueing system can be successfully used in modelling production lines with machine failures, in which the parameter q may be considered as a typical fraction of items demanding corrections. Morever, this queueing model can be applied in the analysis of real TCP/IP performance, where q stands for the fraction of packets requiring retransmission.",
author = "Kempa, \{Wojciech M.\}",
note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; 43rd International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2017 ; Conference date: 08-06-2017 Through 13-06-2017",
year = "2017",
month = dec,
day = "7",
doi = "10.1063/1.5013998",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "George Venkov and Vesela Pasheva and Nedyu Popivanov",
booktitle = "Proceedings of the 43rd International Conference Applications of Mathematics in Engineering and Economics, AMEE 2017",
address = "United States",
}