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https://hdl.handle.net/2440/46011
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Type: | Journal article |
Title: | Performance measures of a multi-layer Markovian fluid model |
Author: | Bean, N. O'Reilly, M. |
Citation: | Annals of Operations Research, 2008; 160(1):99-120 |
Publisher: | Kluwer Academic Publishers |
Issue Date: | 2008 |
ISSN: | 0254-5330 1572-9338 |
Statement of Responsibility: | Nigel G. Bean and Małgorzata M. O’Reilly |
Abstract: | 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. |
Keywords: | Markovian fluid model First return times Sojourn times |
Description: | The original publication can be found at www.springerlink.com |
DOI: | 10.1007/s10479-007-0299-5 |
Published version: | http://dx.doi.org/10.1007/s10479-007-0299-5 |
Appears in Collections: | Aurora harvest 6 Environment Institute publications Mathematical Sciences publications |
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