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Digital
Library of the European Council for Modelling
and Simulation |
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Title: |
On An Exact Solution Of The Rate Matrix Of
Quasi-Birth-Death Process With Small Number Of Phases |
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Authors: |
Alexander
Rumyantsev, Rama Murthy Garimella |
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Published in:
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(2017).ECMS 2017 Proceedings
Edited by: Zita Zoltay Paprika, Péter Horák, Kata Váradi, Péter Tamás
Zwierczyk, Ágnes Vidovics-Dancs, János Péter Rádics European Council for Modeling and Simulation. doi:10.7148/2017 ISBN:
978-0-9932440-4-9/ ISBN:
978-0-9932440-5-6 (CD) 31st European Conference on Modelling and
Simulation, Budapest, Hungary, May 23rd
– May 26th, 2017 |
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Citation
format: |
Alexander
Rumyantsev, Rama Murthy Garimella (2017). On An Exact Solution Of The Rate
Matrix Of Quasi-Birth-Death Process With Small Number Of Phases, ECMS 2017
Proceedings Edited by: Zita Zoltay Paprika, Péter Horák, Kata Váradi,
Péter Tamás Zwierczyk, Ágnes Vidovics-Dancs, János Péter Rádics
European Council for Modeling and Simulation. doi:
10.7148/2017-0713 |
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DOI: |
https://doi.org/10.7148/2017-0713 |
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Abstract: |
A
new method of obtaining exact solution for the rate matrix R in the
Matrix-Analytic method in case of the phase state of dimension two is
proposed. The method is based on symbolic solution of the
determinental polynomial equation, and obtaining a linear matrix equation for
the unknown rate matrix R by Cayley–Hamilton theorem. The method is
applied to analyze the Energy- Performance tradeoff of an Internet-of-Things
device. A new randomized regime switching scheme is proposed, which, as it is
shown by means of numerical experiment, provides significant decrease of
energy consumption of the system under study. |
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