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Performance measures of a multi-layer Markovian fluid model
journal contributionposted on 2023-05-16, 23:23 authored by Bean, NG, Malgorzata O'ReillyMalgorzata O'Reilly
Our goal is to model the behaviour of the fluid in a buffer with threshold controls with a wide range of behaviour possible at the boundaries. To model this, we consider a class of Markovian fluid flow models with several layers, each with their own parameters, separated by boundaries. The behaviour of the fluid at each boundary is modelled by parameters unique to that boundary. We derive the Laplace-Stieltjes transforms of time-related performance measures of this model. This is illustrated with numerical examples. All results are obtained via techniques within the fluid flow environment, and useful physical interpretations are presented.
Publication titleAnnals of Operations Research
Department/SchoolSchool of Natural Sciences
Place of publicationDordrecht, Netherlands
Rights statementThe original publication is available at www.springerlink.com