@book{72e181cd9400440da93e92a25d1a24df,
title = "The PH/PH/1 multi-threshold queue",
abstract = "We consider a PH/PH/1 queue in which a threshold policy determines the stage of the system. The arrival and service processes follow a Phase-Type (PH) distribution depending on the stage of the system. Each stage has both a lower and an upper threshold at which the stage of the system changes, and a new stage is chosen according to a prescribed distribution. This PH/PH/1 multi-threshold queue is modelled as a Level Dependent Quasi-Birth-and-Death process. An efficient algorithm is presented to obtain the stationary queue length vectors using Matrix Analytic methods.",
keywords = "EWI-23624, PH/PH/1 queue, Multiple thresholds, Level dependent quasi-birth-and-death process, IR-87098, METIS-297796, Matrix Analytic Methods",
author = "Niek Ba{\"e}r and Boucherie, {Richardus J.} and {van Ommeren}, {Jan C.W.}",
year = "2013",
month = sep,
language = "Undefined",
series = "Memorandum",
publisher = "University of Twente, Department of Applied Mathematics",
number = "2011",
}