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2005 Symposium on Applications and the Internet Workshops (SAINT 2005 Workshops)
Computing Closed-Form Stochastic Bounds on Transient Distributions of Markov Chains
Trento, Italy
January 31-February 04
ISBN: 0-7695-2263-7
ASCII Text
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Mouad Ben Mamoun, Nihal Pekergin, "Computing Closed-Form Stochastic Bounds on Transient Distributions of Markov Chains," Applications and the Internet Workshops, IEEE/IPSJ International Symposium on, pp. 260-263, 2005 Symposium on Applications and the Internet Workshops (SAINT 2005 Workshops), 2005.
 
 
BibTex
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@article{ 10.1109/SAINTW.2005.44,
author = {Mouad Ben Mamoun and Nihal Pekergin},
title = {Computing Closed-Form Stochastic Bounds on Transient Distributions of Markov Chains},
journal ={Applications and the Internet Workshops, IEEE/IPSJ International Symposium on},
volume = {0},
year = {2005},
isbn = {0-7695-2263-7},
pages = {260-263},
doi = {http://doi.ieeecomputersociety.org/10.1109/SAINTW.2005.44},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Applications and the Internet Workshops, IEEE/IPSJ International Symposium on
TI - Computing Closed-Form Stochastic Bounds on Transient Distributions of Markov Chains
SN - 0-7695-2263-7
SP260
EP263
A1 - Mouad Ben Mamoun,
A1 - Nihal Pekergin,
PY - 2005
KW - null
VL - 0
JA - Applications and the Internet Workshops, IEEE/IPSJ International Symposium on
ER -
 
Mouad Ben Mamoun, Université Versailles St Quentin and Université Mohammed V
Nihal Pekergin, Université Versailles St Quentin and Université Paris 1
In {3, 2} we have defined a particular class of time homogeneous discrete time Markov chains, called class C, having closed-form steady-state solution. In this paper, we show that transient distributions of this particular class have also closed-form solutions. Therefore, it is possible to apply the stochastic comparison approach to compute bounds on transient distributions by means of the closed-form solutions. This approach may be attractive for high-speed networks, where QoS requirements are the thresholds and exact values are not necessary.
Citation:
Mouad Ben Mamoun, Nihal Pekergin, "Computing Closed-Form Stochastic Bounds on Transient Distributions of Markov Chains," saint-w, pp.260-263, 2005 Symposium on Applications and the Internet Workshops (SAINT 2005 Workshops), 2005
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