LatinCon07 - Exact Statistics of a Complex Markov Chain through State Reduction: A Satellite On-board Switching Example
(LatinCon07 - Exact Statistics of a Complex Markov Chain through State Reduction: A Satellite On-board Switching Example)
Marco A. Alzate (email@example.com)
Universidad Distrital Francisco José de Caldas
This paper appears in: Revista IEEE América Latina
Publication Date: Aug. 2010
Volume: 8, Issue: 4
Satellite on-board switching offers the possibility of covering a wide area with increased total capacity. In order to show a mechanism for reducing a highly dimensional complex Markov chain, in this paper we use a terrestrial packet grouping approach to minimize the on-board switching operations. By carefully redirecting some transitions to different states, we can evaluate exact statistics of the original complex Markov chain from the analysis of a much simpler reduced Markov chain. Although we use a communication example close to our research interest, the method can have a much wider area of application.
Markov Chain performance bounds, Markov Chain dimension reduction, Markov Chain probabilistic modification
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