Second order fluid models with general boundary behaviour

Second order fluid models with general boundary behaviour

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Article ID: iaor20091347
Country: Netherlands
Volume: 160
Issue: 1
Start Page Number: 69
End Page Number: 82
Publication Date: Apr 2008
Journal: Annals of Operations Research
Authors: , , ,
Keywords: matrices
Abstract:

A crucial property of second order fluid models is the behaviour of the fluid level at the boundaries. Two cases have been considered: the reflecting and the absorbing boundary. This paper presents an approach for the stationary analysis of second order fluid models with any combination of boundary behaviours. The proposed approach is based on the solution of a linear system whose coefficients are obtained from a matrix exponent. A practical example demonstrates the suitability of the technique in performance modeling.

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