Title	Queueing and Markov chain decomposition method to analyze Markov-modulated Markov chains
Creator	Sasanuma, Katsunobu
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-08-22T12:30
Description	We present a Queueing and Markov chain decomposition method based on the total expectation theorem. Our decomposition method requires partial flow to be conserved, which we call a termination scheme. This scheme is useful when deriving analytical formulas for complex queueing systems. As an example, we apply our method to derive an exact set of stationary equations for the probability generating functions of decomposed chains of Markov-modulated continuous-time Markov chains.
Extent	29.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Stony Brook University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-02-19
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395920
URI	http://hdl.handle.net/2429/77344
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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