Annals of Operations Research

, Volume 160, Issue 1, pp 69–82

Second order fluid models with general boundary behaviour


DOI: 10.1007/s10479-007-0297-7

Cite this article as:
Gribaudo, M., Manini, D., Sericola, B. et al. Ann Oper Res (2008) 160: 69. doi:10.1007/s10479-007-0297-7


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.


Second order fluid modelsMatrix exponentStationary distributionNumerical analysis

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Dip. di InformaticaUniversità di TorinoTorinoItaly
  2. 2.INRIA–IRISARennesFrance
  3. 3.Dept. of TelecommunicationsTechnical University of BudapestBudapestHungary