An open tool to compute stochastic bounds on steady-state distributions and rewards

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http://doi.ieeecomputersociety.org/10.1109/MASCOT.2003.1240661

11th IEEE International Symposium on ...

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	Jean-Michel Fourneau, Mathieu Le Coz, Nihal Pekergin, Franck Quessette, "An open tool to compute stochastic bounds on steady-state distributions and rewards," Modeling, Analysis, and Simulation of Computer Systems, International Symposium on, pp. 219, 11th IEEE International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunications Systems (MASCOTS'03), 2003.

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	@article{ 10.1109/MASCOT.2003.1240661, author = {Jean-Michel Fourneau and Mathieu Le Coz and Nihal Pekergin and Franck Quessette}, title = {An open tool to compute stochastic bounds on steady-state distributions and rewards}, journal ={Modeling, Analysis, and Simulation of Computer Systems, International Symposium on}, volume = {0}, year = {2003}, issn = {1526-7539}, pages = {219}, doi = {http://doi.ieeecomputersociety.org/10.1109/MASCOT.2003.1240661}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Modeling, Analysis, and Simulation of Computer Systems, International Symposium on TI - An open tool to compute stochastic bounds on steady-state distributions and rewards SN - 1526-7539 SP EP A1 - Jean-Michel Fourneau, A1 - Mathieu Le Coz, A1 - Nihal Pekergin, A1 - Franck Quessette, PY - 2003 KW - null VL - 0 JA - Modeling, Analysis, and Simulation of Computer Systems, International Symposium on ER -

Jean-Michel Fourneau, Versailles University

Mathieu Le Coz, Versailles University

Nihal Pekergin, Versailles University

Franck Quessette, Versailles University

We present X-Bounds, a new tool to implement a methodology based on stochastic ordering, algorithmic derivation of simpler Markov chains and numerical analysis of these chains. The performance indices defined by reward functions are stochastically bounded by reward functions computed on much simpler or smaller Markov chains obtained after aggregation or simplification. This leads to an important reduction on numerical complexity. Typically, chains are ten times smaller and the accuracy may be good enough.

Citation:

Jean-Michel Fourneau, Mathieu Le Coz, Nihal Pekergin, Franck Quessette, "An open tool to compute stochastic bounds on steady-state distributions and rewards," mascots, pp.219, 11th IEEE International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunications Systems (MASCOTS'03), 2003

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