Submissions
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A. Busic, N. Fates, J. Mairesse, I. Marcovici.
Density classification on infinite lattices and trees.
Preprint arXiv:1111.4582. 2011.
Short version accepted at
LATIN 2012.
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A. Busic, J. Mairesse, I. Marcovici.
Probabilistic cellular automata, invariant measures, and perfect sampling.
Preprint arXiv:1010.3133. 2010.
Poster presented at Simulation of Networks Workshop, June 2010
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
[poster]
Short version appeared at
STACS 2011.
[short]
- A. Busic, V. Gupta, J. Mairesse.
Stability of the bipartite matching model.
Preprint arXiv:1003.3477v1. 2010.
Poster presented at Stochastic Networks, March 2010
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
[poster]
Short version appeared at MAMA workshop 2010. ACM SIGMETRICS Perform. Eval. Rev. 38:2, pp. 6-8. 2010.
[short]
Journals
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A. Busic, B. Gaujal, F. Pin.
Perfect Sampling of Markov Chains with Piecewise Homogeneous Events.
Accepted for publication in Performance Evaluation.
Preprint arXiv:1012.2910. 2010.
- A. Busic, I. Vliegen, A. Scheller-Wolf.
Comparing Markov chains: Aggregation and precedence relations applied to sets of states, with applications to assemble-to-order systems.
Accepted for publication in Mathematics of Operations Research.
Preprint HAL : hal-00361430. 2009.
- A. Busic, J.-M. Fourneau.
Iterative component-wise bounds for the steady-state distribution of a Markov chain.
Numerical Linear Algebra with Applications. John Wiley & Sons, Ltd. Available online: October 2011.
(Special Issue Paper.)
- A. Busic, J.-M. Fourneau.
Monotonicity and performance evaluation: applications to high speed and mobile networks.
Cluster Computing. Springer Netherlands. Available online: April 2011.
(Special Issue Paper.)
- M. Ben Mamoun, A. Busic, N. Pekergin.
Generalized class C
Markov chains and computation of closed-form
bounding distributions.
Probability in the Engineering and Informational Sciences. Cambridge University Press, 21(2):235-260, 2007.
Conferences
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A. Wieczorek, A. Busic, E. Hyon.
Critical Level Policies in Lost Sales Inventory
Systems with Different Demand Classes.
EPEW 2011, Borrowdale, The English Lake District, UK. October 2011. LNCS 6977, Springer-Verlag, pp. 204-218.
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A. Busic, E. Coupechoux.
Perfect Sampling with Aggregated Envelopes.
Allerton 2011.
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F. Pin, A. Busic, B. Gaujal.
Acceleration of Perfect Sampling by Skipping Events.
Valuetools 2011, Paris, France.
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A. Busic, J. Mairesse, I. Marcovici.
Probabilistic cellular automata, invariant measures, and perfect sampling.
STACS 2011.
Poster presented at Simulation of Networks Workshop, June 2010
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
[poster]
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A. Busic, B. Gaujal, G. Gorgo, J.-M. Vincent.
PSI2 : Envelope Perfect Sampling of Non Monotone Systems.
International Conference on Quantitative Evaluation of Systems (QEST), Williamsburg, USA, 2010.
Tool paper.
[pdf]
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A. Busic, J.-M. Fourneau.
A toolbox for component-wise bounds of the steady-state distribution of a DTMC.
International Conference on Quantitative Evaluation of Systems (QEST), Williamsburg, USA, 2010.
Tool paper.
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A. Busic, H. Djafri, J.-M. Fourneau.
Stochastic bounds for censored Markov chains.
6th International Workshop on the Numerical Solution of Markov Chains (NSMC), Williamsburg, USA, 2010.
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A. Busic, J.-M. Fourneau.
Iterative component-wise bounds for the steady-state distribution of a Markov chain.
6th International Workshop on the Numerical Solution of Markov Chains (NSMC), Williamsburg, USA, 2010.
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A. Busic, B. Gaujal, J.-M. Vincent.
Perfect Simulation and Non-monotone Markovian Systems.
Valuetools'08, October 2008, Athens, Greece.
[.pdf]
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A. Busic, J.-M. Fourneau.
Stochastic Complement and Strong Stochastic Bounds Based on Algebraic Properties.
5th European Performance Engineering Workshop (EPEW 2008), September 2008, Palma de Mallorca, Spain.
LNCS 5261, Springer-Verlag, pp. 227-241.
[.pdf]
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V. Berten, A. Busic, B. Gaujal, J.-M. Vincent.
Can we use perfect simulation
for non-monotonic Markovian systems?
Extended abstract. ROADEF 2008, Clermont-
Ferrand, France, 25-27 February 2008.
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A. Busic, T. Czachorski, J.-M. Fourneau, K. Grochla.
Level Crossing Ordering of Markov Chains:
Computing End to End Delays in an All Optical Network.
Valuetools'07, October 2007, Nantes, France.
[.pdf]
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A. Busic, N. Pekergin.
Closed Form Absorption Time Bounds.
4th European Performance Engineering Workshop (EPEW 2007), September 2007, Berlin, Germany.
LNCS 4748, Springer-Verlag, pp. 33-47.
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D. Barth, A. Busic, J.-M. Fourneau, D. Nott, F. Quessette, S. Rousseau.
Guaranteeing burst routing in the ROMEO optical network.
In Proceedings of Asia-Pacific Optical Communica-tions 2007 (APOC'07), Wuhan, China. SPIE. (Invited.)
- M. Ben Mamoun, A. Busic, J.-M. Fourneau, N. Pekergin.
Increasing convex monotone Markov chains: Theory, algorithm and
applications.
MAM 2006: Markov Anniversary Meeting, Eds. A. N. Langville, W. J. Stewart, Boson Books, Raleigh, North Carolina, USA, 2006, pp. 189-210.
[.ps]
[.pdf]
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A. Busic, J.-M. Fourneau.
Bounds based on lumpable matrices for partially
ordered state space.
In Proceeding From the 2006 Workshop on Tools For Solving Structured Markov Chains (Pisa, Italy, October 10 - 10, 2006). SMCtools '06, vol. 201. ACM Press.
[.ps]
[.pdf]
- A. Busic, M. Ben Mamoun, J.-M. Fourneau.
Modeling Fiber Delay Loops in an All Optical Switch.
In Proceedings of the Third international Conference on the Quantitative Evaluation of Systems - (Qest'06) - (September 11 - 14, 2006). IEEE Computer Society.
[.ps]
[.pdf]
- A. Busic, J.-M. Fourneau, D. Nott.
Deflection Routing on a Torus is Monotone.
Positive Systems.
Proceedings of the second Multidisciplinary International Symposium on Positive Systems: Theory and Applications (POSTA 06), Grenoble, France,
Aug. 30-31, Sept. 1, 2006. LNCIS 341, Springer. pp. 161-168.
[.ps]
[.pdf]
- A. Busic, J.-M. Fourneau, N. Pekergin.
Worst Case Analysis of Batch Arrivals with the Increasing Convex Ordering.
3rd European Performance Engineering Workshop (EPEW 2006), June 2006, Budapest, Hungary.
In : A. Horvath and M. Telek (Eds.): EPEW 2006, LNCS 4054,
Springer-Verlag, pp. 196-210.
[.ps]
[.pdf]
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A. Busic, J.-M. Fourneau.
Bounds for Point and Steady-State Availability: An Algorithmic Approach Based on
Lumpability and Stochastic Ordering.
2rd European Performance Engineering Workshop (EPEW 2005),
Semptember 2005, Versailles, France.
In: M. Bravetti et al. (Eds.): EPEW 2005 and WS-FM 2005,
LNCS 3670, Springer-Verlag, pp. 94-108.
[.ps]
[.pdf]
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A. Busic, J-M. Fourneau.
Bounding transient and steady-state dependability measures
through algorithmic stochastic comparison.
SIGMETRICS Perform. Eval. Rev. 34, 2 (Sep. 2006), 11-12.
[.ps]
[.pdf]
(Extended abstract of a poster presented at Performance 2005, Juan-les-Pins, October 2005)
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A. Busic, J.-M. Fourneau.
A Matrix Pattern Compliant Strong Stochastic Bound.
Modelling and Performance Evaluation for Quality of Service in Next Generation Internet,
January 2005, Trento, Italy.
In: M. Papazoglu and K. Yamazaki (eds.), Applications and the Internet SAINT 2005 Workshops. IEEE Computer Society, pp. 256-259.
[.ps]
[.pdf]
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