@inproceedings{43188affa302427fb26e69fb48c525d4,
title = "Modelling of controlled queuing systems",
abstract = "This paper is concerned with a problem of controlling the queuing systems. Rather than deal with mean probabilities, which is the most often used approach to this problem, it concentrates on transient states and the description that allows to state the optimization, problem. First a model of a queuing system with controlled service intensity is analyzed. Subsequently, a system with multiple service stations that can be switched in or off is introduced. Afterwards, another model is presented, in which control variable relates to maximum number of clients that can place their request in the queue. Finally, both models are combined. For each of the systems, the optimal control problem is formulated in L1 space and for the first one the gradient method for finding optimal control is presented.",
keywords = "Bang-bang control, Optimal control, Queuing systems",
author = "J. Smieja and A. Swierniak",
year = "2003",
language = "English",
isbn = "0889863393",
series = "IASTED International Conference on Modelling Identification and Control",
pages = "147--151",
editor = "M.H. Hamza and M.H. Hamza",
booktitle = "IASTED International Conference on Modelling Identification and Control",
note = "22nd International Conference on Modelling Identification and Control ; Conference date: 10-02-2003 Through 13-02-2003",
}