Title
Performance measures of a multi-layer Markovian fluid model
Abstract
Our goal is to model the behaviour of the fluid in a buffer with threshold controls with a wide range of behaviour possible at the boundaries. To model this, we consider a class of Markovian fluid flow models with several layers, each with their own parameters, separated by boundaries. The behaviour of the fluid at each boundary is modelled by parameters unique to that boundary. We derive the Laplace-Stieltjes transforms of time-related performance measures of this model. This is illustrated with numerical examples. All results are obtained via techniques within the fluid flow environment, and useful physical interpretations are presented.
Year
DOI
Venue
2008
10.1007/s10479-007-0299-5
Annals OR
Keywords
Field
DocType
Markovian fluid model,First return times,Sojourn times
Mathematical optimization,Markov process,Multi layer,Computer science,Fluid dynamics
Journal
Volume
Issue
ISSN
160
1
0254-5330
Citations 
PageRank 
References 
14
1.24
5
Authors
2
Name
Order
Citations
PageRank
nigel g bean14710.77
Małgorzata M. O’Reilly2162.30