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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This work is partially supported by the Italian-Hungarian bilateral R&D programme, by OTKA grant n. T-34972, by Italian Ministry for University and Research (MIUR) through PRIN project Famous and by EEC project Crutial.
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Gribaudo, M., Manini, D., Sericola, B. et al. Second order fluid models with general boundary behaviour. Ann Oper Res 160, 69–82 (2008). https://doi.org/10.1007/s10479-007-0297-7
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DOI: https://doi.org/10.1007/s10479-007-0297-7