Second order fluid models with general boundary behaviour

M. Gribaudo, D. Manini (), B. Sericola and M. Telek

Annals of Operations Research, 2008, vol. 160, issue 1, 69-82

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. Copyright Springer Science+Business Media, LLC 2008

Keywords: Second order fluid models; Matrix exponent; Stationary distribution; Numerical analysis (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10479-007-0297-7

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