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 (malzate@udistrital.edu.co)


Universidad Distrital Francisco José de Caldas
This paper appears in: Revista IEEE América Latina

Publication Date: Aug. 2010
Volume: 8,   Issue: 4 
ISSN: 1548-0992


Abstract:
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.

Index Terms:
Markov Chain performance bounds, Markov Chain dimension reduction, Markov Chain probabilistic modification   


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