Analysis of feedback fluid queues

Werner R.W. Scheinhardt

Analysis of feedback fluid queues

Werner R.W. Scheinhardt

Stochastic Operations Research

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

We consider the stationary behaviour of a class of feedback fluid queues. A feedback fluid queue is a natural generalisation of the well-known Markov modulated fluid queue. The essential difference is that the current state of the fluid buffer influences the behaviour of the regulating process. Therefore these models are relevant for the performance evaluation of certain regulation mechanisms in telecommunications access networks. Typically, the enable the analysis of mechanisms in which the content of a buffer is driven by some source process, while the source process itself is influences by feedback signals coming from the buffer. We write down the differential equations governing the stationary distribution for a large class of these models, and subsequently solve them using the spectral method. The unknown parameters in the solution are determined by an equal number of boundary conditions.

Original language	English
Title of host publication	14th ITC Specialists Seminar on Access Networks and Systems
Editors	O. Casals, O. González Soto
Place of Publication	Würzburg, Germany
Publisher	University of Würzburg
Pages	215-220
Number of pages	6
Publication status	Published - 25 Apr 2001
Event	14th ITC-Specialists Seminar on Access Networks and Systems 2001 - Girona, Spain Duration: 25 Apr 2001 → 27 Apr 2001 Conference number: 14 http://research.ac.upc.edu/conferencies/ITCSS/

Conference

Conference	14th ITC-Specialists Seminar on Access Networks and Systems 2001
Country	Spain
City	Girona
Period	25/04/01 → 27/04/01
Internet address	http://research.ac.upc.edu/conferencies/ITCSS/

Keywords

Fluid queue
Buffer content
Feedback
Spectral method

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Scheinhardt, W. R. W. (2001). Analysis of feedback fluid queues. In O. Casals, & O. González Soto (Eds.), 14th ITC Specialists Seminar on Access Networks and Systems (pp. 215-220). Würzburg, Germany: University of Würzburg.

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