Preprints

• P. Moyal, A. Busic, J. Mairesse. Loynes construction for the extended bipartite matching. Mar 2018.
• P. Moyal, A. Busic, J. Mairesse. A product form and a sub-additive theorem for the general stochastic matching model. Nov 2017.
• 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.461-462, 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): 75-77 (2015).

Patent application

• S. Meyn, A. Busic. USING LOADS WITH DISCRETE FINITE STATES OF POWER TO PROVIDE ANCILLARY SERVICES FOR A POWER GRID. US Patent App. 15/740,328.
  Filing Date: 1 July 2016. Publication Date: 5 July 2018.

Book chapter

• Y. Chen, Md Umar Hashmi, J. Mathias, A. Busic, and S. Meyn. Distributed Control Design for Balancing the Grid Using Flexible Loads. In: Energy Markets and Responsive Grids, pp. 383-411. S. Meyn, T. Samad, I. Hiskens, J. Stoustrup (eds). The IMA Volumes in Mathematics and its Applications, vol 162. Springer, New York, NY. 2018.
  HAL preprint:01656726.

Journals

1. A. Busic, S. Meyn. Ordinary Differential Equation Methods For Markov Decision Processes and Application to Kullback-Leibler Control Cost. SIAM Journal on Control and Optimization 56 (1), 343-366. 2018.
   ArXiv preprint:1605.04591.
2. I. Adan, A. Busic, J. Mairesse, G. Weiss. Reversibility and further properties of FCFS infinite bipartite matching. Mathematics of Operations Research 43 (2), 598-621. 2018.
   ArXiv preprint:1507.05939 (Jul 2015).
3. Y. Chen, A. Busic, S. Meyn. Ergodic theory for controlled Markov chains with stationary inputs. The Annals of Applied Probability 28 (1), 79-111. 2018.
   ArXiv preprint:1604.04013.
4. Y. Chen, A. Busic, S. Meyn. Estimation and Control of Quality of Service in Demand Dispatch. IEEE Transactions on Smart Grid 9(5): 5348 - 5356. 2018.
   ArXiv preprint:1609.00051.
5. Y. Chen, A. Busic, S. Meyn. State Estimation for the Individual and the Population in Mean Field Control with Application to Demand Dispatch. IEEE Transactions on Automatic Control 62 (3), 1138-1149. 2017.
   ArXiv preprint:1504.00088. Preliminary version appeared in the 54rd IEEE Conference on Decision and Control, 2015.
6. A. Bouillard, A. Busic, C. Rovetta. Low complexity state space representation and algorithms for closed queueing networks exact sampling. Perform. Eval. 103: 2-22 (2016).
7. 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]
8. A. Busic, S. Durand, B. Gaujal, F. Perronnin. Perfect sampling of Jackson queueing networks. Queueing Systems 80(3):223-260. Springer, 2015.
9. A. Busic, J.-M. Fourneau, M. Ben Mamoun. Stochastic Bounds with a Low Rank Decomposition. Stochastic Models 30(4): 494-520, 2014.
   Special Issue on the Eighth International Conference on Matrix-Analytic Methods in Stochastic Models. [pdf]
10. A. Bouillard, A. Busic, C. Rovetta. Perfect sampling for closed queueing networks. Performance Evaluation. Volume 79, September 2014, Pages 146-159. Special Issue: Performance 2014.
11. A. Busic, N. Fates, J. Mairesse, I. Marcovici. Density classification on infinite lattices and trees. Electronic Journal of Probability, 18(51):1-22, 2013.
    Short version appeared at LATIN 2012. [short]
12. A. Busic, J. Mairesse, I. Marcovici. Probabilistic cellular automata, invariant measures, and perfect sampling. Advances in Applied Probability, 45(4):960-980, 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]
13. A. Busic, V. Gupta, J. Mairesse. Stability of the bipartite matching model. Advances in Applied Probability, 45(2):351-378, 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. 6-8. 2010. [short]
14. A. Busic, B. Gaujal, F. Pin. Perfect Sampling of Markov Chains with Piecewise Homogeneous Events. Performance Evaluation, 69(6):247-266, 2012.
    
15. 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. Mathematics of Operations Research, 37(2):259-287, 2012.
    
16. R. Nair, E. Miller-Hooks, R. C. Hampshire, A. Busic. Large-Scale Vehicle Sharing Systems: Analysis of Vélib'. International Journal of Sustainable Transportation, 7(1):85-106, 2012.
17. 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. Special Issue: Numerical Solution of Markov Chains, 18(6):1031-1049, 2011.
18. 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.)
19. 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

1. N. Cammardella, J. Mathias, M. Kiener, A. Busic, S. Meyn. Balancing California's Grid Without Batteries.Accepted at 57th IEEE Conference on Decision and Control (CDC 2018). Miami Beach, FL. December 17-19, 2018.
2. Md U. Hashmi, W. Labidi, A. Busic, S-E. Elayoubi, and T. Chahed. Long-Term Revenue Estimation for Battery Performing Arbitrage and Ancillary Services.Accepted at IEEE International Conference on Communications, Control, and Computing Technologies for Smart Grids (IEEE SmartGridComm). Aalborg, Denmark, 29 Oct - 1 Nov, 2018.
3. A. Busic, S. Meyn. Action-Constrained Markov Decision Processes With Kullback-Leibler Cost. Proceedings of the 31st Conference On Learning Theory (COLT 2018), PMLR 75:1431-1444, 2018.
4. Md U. Hashmi, D. Muthirayan, A. Busic. Effect of Real-Time Electricity Pricing on Ancillary Service Requirements. Proceedings of the Ninth International Conference on Future Energy Systems (ACM e-Energy 2018). Workshops. pp. 550-555. 2018.
5. Md U. Hashmi, A. Busic. Limiting Energy Storage Cycles of Operation. IEEE Green Technologies Conference (GreenTech). Pages: 71 - 74. 2018.
6. A. R. Coffman, A. Busic, and P. Barooah. A Study of Virtual Energy Storage From Thermostatically Controlled Loads Under Time-Varying Weather Conditions. 5th International High Performance Building Conference at Purdue, July 9-12, 2018.
7. A. Busic, Md U. Hashmi, S. Meyn. Distributed control of a fleet of batteries. The 2017 American Control Conference (ACC), May 24-26, Seattle, WA, USA. pp. 3406-3411. 2017.
   HAL preprints: 01656735. [pdf]
8. Md U. Hashmi, A. Mukhopadhyay, A. Busic, J. Elias. Optimal control of storage under time varying electricity prices. 2017 IEEE International Conference on Smart Grid Communications (SmartGridComm): 134-140. 2017.
   HAL preprints: 01672483
9. S. Samain, A. Busic. Exact Computation and Bounds for the Coupling Time in Queueing Systems. VALUETOOLS 2017 - 11th EAI International Conference on Performance Evaluation Methodologies and Tools, Dec 2017, Venice, Italy. 2017.
10. J. Mathias, A. Busic, S. Meyn. Demand Dispatch with Heterogeneous Intelligent Loads. 50th Annual Hawaii International Conference on System Sciences (HICSS), 2017.
11. A. Busic, S. Meyn. Distributed Randomized Control for Demand Dispatch. 55th IEEE Conference on Decision and Control, Dec 2016.
    ArXiv preprint:1603.05966.
12. 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.
13. 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.
14. P. Barooah, A. Busic, S. Meyn. Spectral Decomposition of Demand-Side Flexibility for Reliable Ancillary Services in a Smart Grid. 48th Annual Hawaii International Conference on System Sciences (HICSS). 2015.
15. A. Bouillard, A. Busic, C. Rovetta. Perfect Sampling for Multiclass Closed Queueing Networks. 12th International Conference on Quantitative Evaluation of SysTems (QEST 2015): 263-278.
16. Y. Chen, A. Busic, S. Meyn. Individual risk in mean-field control models for decentralized control, with application to automated demand response. 53st IEEE Conference on Decision and Control. 2014.
17. A. Busic, S. Meyn. Passive Dynamics in Mean Field Control. 53st IEEE Conference on Decision and Control. 2014.
    ArXiv e-prints: arXiv:1402.4618.
18. 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.
19. 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.
20. 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): 22-24 (2013).
21. A. Busic, H. Djafri, J.-M. Fourneau. Bounded state space truncation and censored Markov chains. 51st IEEE Conference on Decision and Control (CDC 2012).
22. 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, Springer-Verlag, pp. 136-149, 2012.
23. A. Busic, N. Fates, J. Mairesse, I. Marcovici. Density Classification on Infinite Lattices and Trees. LATIN 2012: Theoretical Informatics. LNCS 7256, Springer-Verlag, pp. 109-120, 2012.
24. 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.
25. A. Busic, E. Coupechoux. Perfect Sampling with Aggregated Envelopes. 49th Annual Allerton Conference on Communication, Control, and Computing. 2011.
26. F. Pin, A. Busic, B. Gaujal. Acceleration of Perfect Sampling by Skipping Events. Valuetools 2011, Paris, France.
27. 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]
28. 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]
29. 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.
30. 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.
31. 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.
32. A. Busic, B. Gaujal, J.-M. Vincent. Perfect Simulation and Non-monotone Markovian Systems. Valuetools'08, October 2008, Athens, Greece. [.pdf]
33. 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]
34. 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]
35. 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.
36. 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.)
37. 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]
38. 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]
39. 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]
40. 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]
41. 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]
42. 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]
43. 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)
44. 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]

National conferences (extended abstracts)

• A. Cadas, A. Busic. An online disaggregation algorithm and its application to demand control. Abstract. PGMO Days 2017.
• 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.