Varun Gupta, Peter G. Harrison

- Conference or Workshop Paper
- 10th workshop on mathematical performance modeling and analysis (MAMA 2008)
- December, 2008
- Performance Evaluation Review
- Volume 36
- Issue 2
- pp.128–130
- ACM
**DOI**10.1145/1453175.1453206- Abstract
We obtain the Laplace transform of the fluid level probability density function, in terms of the on-period density function, for a fluid queue (or reservoir) with on-off input at equilibrium. We further obtain explicit expressions for the moments of fluid level in terms of the moments of the on-period and hence derive an algorithm for the moments of fluid level at every queue in a tandem network. It turns out that to calculate the kth moment at the ith queue, only the first k+1 moments of the on-period of the input process to the first queue are required.

Information from pubs.doc.ic.ac.uk/fluid-varun.