Preprints

A. Busic, S. Meyn.
Ordinary Differential Equation Methods For Markov Decision Processes and Application to KullbackLeibler Control Cost.
Aug 2016.

Y. Chen, A. Busic, S. Meyn.
Ergodic Theory for Controlled Markov Chains with Stationary Inputs.
Aug 2016.

Y. Chen, A. Busic, S. Meyn.
Estimation and Control of Quality of Service in Demand Dispatch.
Aug 2016.
 I. Adan, A. Busic, J. Mairesse, G. Weiss.
Reversibility and further properties of FCFS infinite bipartite matching.
Jul 2015.

R. Varloot, A. Busic, A. Bouillard.
Speeding up Glauber Dynamics for Random Generation of Independent Sets.
Apr 2015.
Poster presented at ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems. ACM SIGMETRICS Performance Evaluation Review. 43 (1), pp.461462, 2015.

A. Busic, S. Meyn. Approximate optimality with bounded regret in dynamic matching models.
Apr 2015.
Short version at ACM Sigmetrics workshop MAMA 2015. SIGMETRICS Performance Evaluation Review 43(2): 7577 (2015).
Journals

Y. Chen, A. Busic, S. Meyn.
State Estimation for the Individual and the Population in Mean Field Control with Application to Demand Dispatch.
To appear in IEEE Trans. Auto. Control.
ArXiv preprint.
Preliminary version appeared in the 54rd IEEE Conference on Decision and Control, 2015.

A. Bouillard, A. Busic, C. Rovetta.
Low complexity state space representation and algorithms for closed queueing networks exact sampling.
Perform. Eval. 103: 222 (2016).

S. Meyn, P. Barooah, A. Busic, Y. Chen, J. Ehren.
Ancillary Service to the Grid Using Intelligent Deferrable Loads.
IEEE Trans. Automat.
Control. 60 (11): 2847  2862. 2015. [pdf]

A. Busic, S. Durand, B. Gaujal, F. Perronnin.
Perfect sampling of Jackson queueing networks.
Queueing Systems 80(3):223260. Springer, 2015.

A. Busic, J.M. Fourneau, M. Ben Mamoun.
Stochastic Bounds with a Low Rank Decomposition.
Stochastic Models 30(4): 494520, 2014.
Special Issue on the Eighth International Conference on MatrixAnalytic
Methods in Stochastic Models.
[pdf]

A. Bouillard, A. Busic, C. Rovetta.
Perfect sampling for closed queueing networks.
Performance Evaluation. Volume 79, September 2014, Pages 146159. Special Issue: Performance 2014.

A. Busic, N. Fates, J. Mairesse, I. Marcovici.
Density classification on infinite lattices and trees.
Electronic Journal of Probability, 18(51):122, 2013.
Short version appeared at
LATIN 2012.
[short]

A. Busic, J. Mairesse, I. Marcovici.
Probabilistic cellular automata, invariant measures, and perfect sampling.
Advances in Applied Probability, 45(4):960980, 2013.
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.
Advances in Applied Probability, 45(2):351378, 2013.
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. 68. 2010.
[short]

A. Busic, B. Gaujal, F. Pin.
Perfect Sampling of Markov Chains with Piecewise Homogeneous Events.
Performance Evaluation, 69(6):247266, 2012.
 A. Busic, I. Vliegen, A. SchellerWolf.
Comparing Markov Chains: Aggregation and Precedence Relations Applied to Sets of States, with Applications to AssembletoOrder Systems.
Mathematics of Operations Research, 37(2):259287, 2012.
 R. Nair, E. MillerHooks, R. C. Hampshire, A. Busic.
LargeScale Vehicle Sharing Systems: Analysis of Vélib'.
International Journal of Sustainable Transportation,
7(1):85106, 2012.
 A. Busic, J.M. Fourneau.
Iterative componentwise bounds for the steadystate distribution of a Markov chain.
Numerical Linear Algebra with Applications. John Wiley & Sons, Ltd. Special Issue: Numerical Solution of Markov Chains, 18(6):10311049, 2011.
 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 closedform
bounding distributions.
Probability in the Engineering and Informational Sciences. Cambridge University Press, 21(2):235260, 2007.
Conferences

A. Busic, Md U. Hashmi, S. Meyn.
Distributed control of a fleet of batteries.
The 2017 American Control Conference, May 24?26, Seattle, WA, USA. 2017.

J. Mathias, A. Busic, S. Meyn.
Demand Dispatch with Heterogeneous Intelligent Loads.
50th Annual Hawaii International Conference on System Sciences (HICSS), 2017.

A. Busic, S. Meyn.
Distributed Randomized Control for Demand Dispatch.
55th IEEE Conference on Decision and Control, Dec 2016.

J. Mathias, R. Kaddah, A. Busic, S. Meyn.
Smart Fridge / Dumb Grid? Demand Dispatch for the Power Grid of 2020.
49th Annual Hawaii International Conference on System Sciences (HICSS), 2016.

Y. Chen, A. Busic, S. Meyn.
State Estimation for the Individual and the Population in Mean Field Control with Application to Demand Dispatch.
54th IEEE Conference on Decision and Control, 2015.

P. Barooah, A. Busic, S. Meyn.
Spectral Decomposition of DemandSide Flexibility for Reliable Ancillary Services in a Smart Grid.
48th Annual Hawaii International Conference on System Sciences (HICSS). 2015.

A. Bouillard, A. Busic, C. Rovetta.
Perfect Sampling for Multiclass Closed Queueing Networks.
12th International Conference on Quantitative Evaluation of SysTems (QEST 2015): 263278.

Y. Chen, A. Busic, S. Meyn.
Individual risk in meanfield control models for decentralized control, with application to automated demand response.
53st IEEE Conference on Decision and Control. 2014.

A. Busic, S. Meyn.
Passive Dynamics in Mean Field Control.
53st IEEE Conference on Decision and Control. 2014.
ArXiv eprints: arXiv:1402.4618.

A. Bouillard, A. Busic and C. Rovetta.
Clones: CLOsed queueing Networks Exact Sampling.
8th International Conference on Performance Evaluation Methodologies and Tools 2014.
Best tool paper award.

S. Meyn, P. Barooah, A. Busic, and J. Ehren.
Ancillary service to the
grid from deferrable loads: the case for intelligent pool pumps in
Florida.
52st IEEE Conference on Decision and Control (Invited). 2013.

I. J. B. F. Adan, M. A. A. Boon, A. Busic, J. Mairesse, G. Weiss.
Queues with skill based parallel servers and a FCFS infinite matching model.
MAMA 2013.
ACM SIGMETRICS Performance Evaluation Review 41(3): 2224 (2013).

A. Busic, H. Djafri, J.M. Fourneau.
Bounded state space truncation and censored Markov chains.
51st IEEE Conference on Decision and Control (CDC 2012).

A. Busic, B. Gaujal, F. Perronnin.
Perfect Sampling of Networks with Finite and Infinite Capacity Queues.
Analytical and Stochastic Modeling Techniques and Applications (ASMTA'12). LNCS 7314, SpringerVerlag, pp. 136149, 2012.

A. Busic, N. Fates, J. Mairesse, I. Marcovici.
Density Classification on Infinite Lattices and Trees.
LATIN 2012: Theoretical Informatics. LNCS 7256, SpringerVerlag, pp. 109120, 2012.

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, SpringerVerlag, pp. 204218.

A. Busic, E. Coupechoux.
Perfect Sampling with Aggregated Envelopes.
49th Annual Allerton Conference on Communication, Control, and Computing. 2011.

F. Pin, A. Busic, B. Gaujal.
Acceleration of Perfect Sampling by Skipping Events.
Valuetools 2011, Paris, France.

A. Busic, J. Mairesse, I. Marcovici.
Probabilistic cellular automata, invariant measures, and perfect sampling.
28th International Symposium on Theoretical Aspects of Computer Science (STACS 2011).
Poster presented at Simulation of Networks Workshop, June 2010
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
[poster]

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]

A. Busic, J.M. Fourneau.
A toolbox for componentwise bounds of the steadystate distribution of a DTMC.
International Conference on Quantitative Evaluation of Systems (QEST), Williamsburg, USA, 2010.
Tool paper.

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.

A. Busic, J.M. Fourneau.
Iterative componentwise bounds for the steadystate distribution of a Markov chain.
6th International Workshop on the Numerical Solution of Markov Chains (NSMC), Williamsburg, USA, 2010.

A. Busic, B. Gaujal, J.M. Vincent.
Perfect Simulation and Nonmonotone Markovian Systems.
Valuetools'08, October 2008, Athens, Greece.
[.pdf]

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, SpringerVerlag, pp. 227241.
[.pdf]

V. Berten, A. Busic, B. Gaujal, J.M. Vincent.
Can we use perfect simulation
for nonmonotonic Markovian systems?
Extended abstract. ROADEF 2008, Clermont
Ferrand, France, 2527 February 2008.

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]

A. Busic, N. Pekergin.
Closed Form Absorption Time Bounds.
4th European Performance Engineering Workshop (EPEW 2007), September 2007, Berlin, Germany.
LNCS 4748, SpringerVerlag, pp. 3347.

D. Barth, A. Busic, J.M. Fourneau, D. Nott, F. Quessette, S. Rousseau.
Guaranteeing burst routing in the ROMEO optical network.
In Proceedings of AsiaPacific Optical Communications 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. 189210.
[.ps]
[.pdf]

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. 3031, Sept. 1, 2006. LNCIS 341, Springer. pp. 161168.
[.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,
SpringerVerlag, pp. 196210.
[.ps]
[.pdf]

A. Busic, J.M. Fourneau.
Bounds for Point and SteadyState 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 WSFM 2005,
LNCS 3670, SpringerVerlag, pp. 94108.
[.ps]
[.pdf]

A. Busic, JM. Fourneau.
Bounding transient and steadystate dependability measures
through algorithmic stochastic comparison.
SIGMETRICS Perform. Eval. Rev. 34, 2 (Sep. 2006), 1112.
[.ps]
[.pdf]
(Extended abstract of a poster presented at Performance 2005, JuanlesPins, October 2005)

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. 256259.
[.ps]
[.pdf]
