2025

Conference papers

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Nicolas Gast, Dheeraj Narasimha. Model Predictive Control is Almost Optimal for Restless Bandit. COLT 2025 – 38th Annual Conference on Learning Theory, Jun 2025, Lyon, France. pp.1-35, ⟨10.48550/arXiv.2410.06307⟩. ⟨hal-05194338⟩

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Mathieu Molina, Nicolas Gast, Patrick Loiseau, Vianney Perchet. Prophet Inequalities: Competing with the Top $\ell$ Items is Easy. SODA 2025 – ACM-SIAM Symposium on Discrete Algorithms, Jan 2025, New Orleans, United States. pp.1-45. ⟨hal-04912640⟩

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2024

Journal articles

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Nicolas Gast, Benny van Houdt. Approximations to Study the Impact of the Service Discipline in Systems with Redundancy. Proceedings of the ACM on Measurement and Analysis of Computing Systems , 2024, 8 (1), pp.1-32. ⟨10.1145/3639040⟩. ⟨hal-04390014⟩

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Conference papers

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Sebastian Allmeier, Nicolas Gast. Computing the Bias of Constant-step Stochastic Approximation with Markovian Noise. NeurIPS 2024 -38th Annual Conference on Neural Information Processing Systems, Dec 2024, Vancouver, Canada. pp.1-23. ⟨hal-04837291⟩

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Preprints, Working Papers, …

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Nicolas Gast, Bruno Gaujal, Chen Yan. Reoptimization Nearly Solves Weakly Coupled Markov Decision Processes. 2024. ⟨hal-04570177⟩

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2023

Journal articles

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Nicolas Gast, Bruno Gaujal, Chen Yan. Linear Program-Based Policies for Restless Bandits: Necessary and Sufficient Conditions for (Exponentially Fast) Asymptotic Optimality. Mathematics of Operations Research, 2023, pp.1-29. ⟨10.1287/moor.2022.0101⟩. ⟨hal-03262307v4⟩

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Nicolas Gast, Bruno Gaujal, Kimang Khun. Testing Indexability and Computing Whittle and Gittins Index in Subcubic Time. Mathematical Methods of Operations Research, 2023, ⟨10.1007/s00186-023-00821-4⟩. ⟨hal-03602458v5⟩

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Nicolas Gast, Bruno Gaujal, Chen Yan. Exponential Asymptotic Optimality of Whittle Index Policy.. Queueing Systems, 2023, 104, pp.1-44. ⟨10.1007/s11134-023-09875-x⟩. ⟨hal-03041176v2⟩

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Sebastian Allmeier, Nicolas Gast. Bias and Refinement of Multiscale Mean Field Models. Proceedings of the ACM on Measurement and Analysis of Computing Systems , 2023, 7 (1), pp.1-29. ⟨10.1145/3579336⟩. ⟨hal-03981002⟩

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Conference papers

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Mathieu Molina, Nicolas Gast, Patrick Loiseau, Vianney Perchet. Trading-off price for data quality to achieve fair online allocation. NeurIPS 2023 – 37th Conference on Neural Information Processing Systems, Dec 2023, New orleans, USA, United States. pp.1-43. ⟨hal-04360656⟩

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Nicolas Gast, Bruno Gaujal, Kimang Khun. What is an Optimal Policy in Time-Average MDP?. ACM SIGMETRICS Workshop MAMA, Jun 2023, Orlando (FL), United States. pp.30-32, ⟨10.1145/3626570.3626582⟩. ⟨hal-04696993⟩

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Romain Cravic, Nicolas Gast, Bruno Gaujal. Decentralized model-free reinforcement learning in stochastic games with average-reward objective. AAMAS 2023 – International Conference on Autonomous Agents and Multiagent Systems, May 2023, London (U.K.), United Kingdom. pp.1-13. ⟨hal-04161628⟩

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2022

Journal articles

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Nicolas Gast, Bruno Gaujal, Kimang Khun. Learning algorithms for Markovian Bandits: Is Posterior Sampling more Scalable than Optimism?. Transactions on Machine Learning Research Journal, 2022. ⟨hal-03262006v3⟩

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Nicolas Gast. Why (and When) do Asymptotic Methods Work so well?. Queueing Systems, 2022, 100, pp.297-299. ⟨10.1007/s11134-022-09834-y⟩. ⟨hal-03638310⟩

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Sebastian Allmeier, Nicolas Gast. Mean Field and Refined Mean Field Approximations for Heterogeneous Systems: It Works!. Proceedings of the ACM on Measurement and Analysis of Computing Systems , 2022, 6 (1), pp.1-43. ⟨10.1145/3508033⟩. ⟨hal-03600672⟩

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Conference papers

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Vitalii Emelianov, Nicolas Gast, Patrick Loiseau. Fairness in Selection Problems with Strategic Candidates. EC 2022 – 23th ACM Conference on Economics and Computation, Jul 2022, Boulder, Colorado, United States. pp.1-29, ⟨10.1145/3490486.3538287⟩. ⟨hal-03677966⟩

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Benjamin Roussillon, Nicolas Gast, Patrick Loiseau, Panayotis Mertikopoulos. Asymptotic Degradation of Linear Regression Estimates with Strategic Data Sources. ALT 2022 – 33rd International Conference on Algorithmic Learning Theory, Mar 2022, Paris, France. pp.1-31. ⟨hal-03593516⟩

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Thomas Barzola, Van-Dat Cung, Nicolas Gast, Vincent Jost. Experiments in Operations Research are Hardly Reproducible: A Bike-Sharing Case-Study.. 23ème congrès annuel de la Société Française de Recherche Opérationnelle et d’Aide à la Décision, INSA Lyon, Feb 2022, Villeurbanne – Lyon, France. ⟨hal-03595289⟩

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2021

Journal articles

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Vitalii Emelianov, Nicolas Gast, Krishna P Gummadi, Patrick Loiseau. On fair selection in the presence of implicit and differential variance. Artificial Intelligence, 2021, 302, pp.1-20. ⟨10.1016/j.artint.2021.103609⟩. ⟨hal-03398739⟩

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Nicolas Gast, Mohammed Khatiri, Denis Trystram, Frédéric Wagner. Analysis of Work Stealing with latency. Journal of Parallel and Distributed Computing, 2021, 153, pp.119-129. ⟨10.1016/j.jpdc.2021.03.010⟩. ⟨hal-03356234⟩

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Conference papers

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Sebastian Allmeier, Nicolas Gast. rmftool – A library to Compute (Refined) Mean Field Approximation(s). TOSME 2021 – Workshop on TOols for Stochastic Modeling and Evaluation, Nov 2021, Online conference, France. ⟨hal-03485044⟩

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Bruno Gaujal, Josu Doncel, Nicolas Gast. Vaccination in a Large Population: Mean Field Equilibrium versus Social Optimum. NETGCOOP 2021 – 10th International Conference on NETwork Games, COntrol and OPtimization, Sep 2021, Cargèse, France. pp.1-9. ⟨hal-02938850⟩

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2020

Journal articles

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Giuliano Casale, Nicolas Gast. Performance analysis methods for list-based caches with non-uniform access. IEEE/ACM Transactions on Networking, 2020, pp.1-18. ⟨10.1109/TNET.2020.3042869⟩. ⟨hal-03102188⟩

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Josu Doncel, Nicolas Gast, Bruno Gaujal. A Mean Field Game Analysis of SIR Dynamics with Vaccination. Probability in the Engineering and Informational Sciences, 2020, pp.1-18. ⟨10.1017/S0269964820000522⟩. ⟨hal-01496885v2⟩

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Nicolas Gast, Stratis Ioannidis, Patrick Loiseau, Benjamin Roussillon. Linear Regression from Strategic Data Sources. ACM Transactions on Economics and Computation, 2020, 8 (2), pp.1-24. ⟨10.1145/3391436⟩. ⟨hal-02982682⟩

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Conference papers

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Mouhcine Mendil, Nicolas Gast, Henry-Joseph Audéoud. Collisions groupées lors du mécanisme d’évitement de collisions de CPL-G3. CoRes 2020 – Rencontres Francophones sur la Conception de Protocoles, l’Évaluation de Performance et l’Expérimentation des Réseaux de Communication, Sep 2020, Lyon, France. pp.1-4. ⟨hal-02879294⟩

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Vitalii Emelianov, Nicolas Gast, Krishna P. Gummadi, Patrick Loiseau. On Fair Selection in the Presence of Implicit Variance. EC 2020 – Twenty-First ACM Conference on Economics and Computation, Jul 2020, Budapest, Hungary. pp.649-675, ⟨10.1145/3391403.3399482⟩. ⟨hal-02880578⟩

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Nicolas Gast, Diego Latella, Mieke Massink. Refined Mean Field Analysis: The Gossip Shuffle Protocol Revisited. COORDINATION 2020 – 22nd IFIP WG 6.1 International Conference on Coordination Languages and Models, Jun 2020, Valletta, Malta. pp.230-239, ⟨10.1007/978-3-030-50029-0_15⟩. ⟨hal-03273995⟩

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Habilitation à diriger des recherches

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Nicolas Gast. Refinements of Mean Field Approximation. Performance [cs.PF]. Université Grenoble Alpes, 2020. ⟨tel-02509756⟩

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2019

Journal articles

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Josu Doncel, Nicolas Gast, Bruno Gaujal. Discrete Mean Field Games: Existence of Equilibria and Convergence. Journal of Dynamics and Games, 2019, 6 (3), pp.1-19. ⟨10.3934/jdg.2019016⟩. ⟨hal-01277098v2⟩

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Nicolas Gast, Luca Bortolussi, Mirco Tribastone. Size Expansions of Mean Field Approximation: Transient and Steady-State Analysis. Performance Evaluation, 2019, 129, pp.60-80. ⟨10.1016/j.peva.2018.09.005⟩. ⟨hal-01891632⟩

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Conference papers

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Takai-Eddine Kennouche, Florent Cadoux, Nicolas Gast, Benoît Vinot. ASGriDS: Asynchronous Smart-Grids Distributed Simulator. APPEEC 2019 – 11th IEEE PES Asia-Pacific Power and Energy Engineering Conference, Dec 2019, Macao, Macau SAR China. pp.1-5. ⟨hal-02384051⟩

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Josu Doncel, Nicolas Gast, Mirco Tribastone, Max Tschaikowski, Andrea Vandin. UTOPIC: Under-Approximation Through Optimal Control. QEST 2019 – 16th International Conference on Quantitative Evaluation of SysTems, Sep 2019, Glasgow, United Kingdom. pp.277-291, ⟨10.1007/978-3-030-30281-8_16⟩. ⟨hal-02283189⟩

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Vitalii Emelianov, George Arvanitakis, Nicolas Gast, Krishna P Gummadi, Patrick Loiseau. The Price of Local Fairness in Multistage Selection. IJCAI-2019 – Twenty-Eighth International Joint Conference on Artificial Intelligence, Aug 2019, Macao, France. pp.5836-5842, ⟨10.24963/ijcai.2019/809⟩. ⟨hal-02145071⟩

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2018

Journal articles

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Nicolas Gast, Diego Latella, Mieke Massink. A refined mean field approximation of synchronous discrete-time population models. Performance Evaluation, 2018, pp.1-27. ⟨10.1016/j.peva.2018.05.002⟩. ⟨hal-01845235⟩

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Conference papers

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Nicolas Gast, Luca Bortolussi, Mirco Tribastone. Size Expansions of Mean Field Approximation: Transient and Steady-State Analysis. 2018 – 36th International Symposium on Computer Performance, Modeling, Measurements and Evaluation, Dec 2018, Toulouse, France. pp.1-2, ⟨10.1016/j.peva.2018.09.005⟩. ⟨hal-01891636⟩

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Benoit Vinot, Florent Cadoux, Nicolas Gast. Congestion Avoidance in Low-Voltage Networks by using the Advanced Metering Infrastructure. ePerf 2018 – IFIP WG PERFORMANCE – 36th International Symposium on Computer Performance, Modeling, Measurements and Evalution, Dec 2018, Toulouse, France. pp.1-3. ⟨hal-01953386⟩

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Nicolas Gast, Benny Van Houdt. A Refined Mean Field Approximation. ACM SIGMETRICS 2018, Jun 2018, Irvine, United States. pp.1. ⟨hal-01891642⟩

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Nicolas Gast, Diego Latella, Mieke Massink. A Refined Mean Field Approximation for Synchronous Population Processes. MAMA 2018Workshop on MAthematical performance Modeling and Analysis, Jun 2018, Irvine, United States. pp.1-3. ⟨hal-01891629⟩

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Preprints, Working Papers, …

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Benoît Vinot, Florent Cadoux, Nicolas Gast, Rodolphe Heliot, Victor Gouin. Congestion Avoidance in Low-Voltage Networks by using the Advanced Metering Infrastructure. 2018. ⟨hal-01784386⟩

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2017

Journal articles

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Nicolas Gast, Benny van Houdt. TTL Approximations of the Cache Replacement Algorithms LRU(m) and h-LRU. Performance Evaluation, 2017, ⟨10.1016/j.peva.2017.09.002⟩. ⟨hal-01622059⟩

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Nicolas Gast, Bruno Gaujal. Computing Absorbing Times via Fluid Approximations. Advances in Applied Probability, 2017, ⟨10.1017/apr.2017.21⟩. ⟨hal-01553138⟩

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Nicolas Gast, Benny van Houdt. A Refined Mean Field Approximation. Proceedings of the ACM on Measurement and Analysis of Computing Systems , 2017, 1 (28), ⟨10.1145/3152542⟩. ⟨hal-01622054⟩

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Conference papers

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Nicolas Gast. Expected Values Estimated via Mean-Field Approximation are 1/N-Accurate. ACM SIGMETRICS / International Conference on Measurement and Modeling of Computer Systems SIGMETRICS ’17 , Jun 2017, Urbana-Champaign, United States. pp.26, ⟨10.1145/2896377.2901463⟩. ⟨hal-01553133⟩

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2016

Journal articles

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Nicolas Gast, Benny van Houdt. Transient and Steady-state Regime of a Family of List-based Cache Replacement Algorithms. Queueing Systems, 2016, Special Issue: SIGMETRICS 2015, ⟨10.1007/s11134-016-9487-9⟩. ⟨hal-01334354⟩

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Francesca Bona, Nicolas Gast, Jean-Yves Le Boudec, Pierre Pinson, Dan-Cristian Tomozei. Attribution mechanisms for ancillary service costs induced by variability in power delivery. IEEE Transactions on Power Systems, 2016, pp.10. ⟨10.1109/TPWRS.2016.2598760⟩. ⟨hal-01403913⟩

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Conference papers

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Nicolas Gast, Benny van Houdt. Asymptotically Exact TTL-Approximations of the Cache Replacement Algorithms LRU(m) and h-LRU. 28th International Teletraffic Congress (ITC 28), Sep 2016, Würzburg, Germany. ⟨hal-01292269⟩

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Luca Bortolussi, Nicolas Gast. Mean Field Approximation of Uncertain Stochastic Models. 46th Annual IEEE/IFIP International Conference on Dependable Systems and Networks (DSN 2016), Jun 2016, Toulouse, France. ⟨hal-01302416⟩

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Nicolas Gast. Construction of Lyapunov functions via relative entropy with application to caching. The 18th Workshop on MAthematical performance Modeling and Analysis, Jun 2016, Nice, France. ⟨hal-01321017v2⟩

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Josu Doncel, Nicolas Gast, Bruno Gaujal. Are mean-field games the limits of finite stochastic games?. The 18th Workshop on MAthematical performance Modeling and Analysis, Jun 2016, Nice, France. ⟨hal-01321020⟩

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Book sections

ref_biblio

Luca Bortolussi, Nicolas Gast. Mean-Field Limits Beyond Ordinary Differential Equations. Bernardo, Marco; De Nicola, Rocco; Hillston, Jane. Formal Methods for the Quantitative Evaluation of Collective Adaptive Systems, Programming and Software Engineering, , 2016, 978-3-319-34095-1. ⟨10.1007/978-3-319-34096-8_3⟩. ⟨hal-01334358⟩

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Preprints, Working Papers, …

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Nicolas Gast, Bruno Gaujal. Computing absorbing times via fluid approximations. 2016. ⟨hal-01337950⟩

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2015

Conference papers

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Nicolas Gast, Guillaume Massonnet, Daniël Reijsbergen, Mirco Tribastone. Probabilistic Forecasts of Bike-Sharing Systems for Journey Planning. The 24th ACM International Conference on Information and Knowledge Management (CIKM 2015), Oct 2015, Melbourne, Australia. ⟨10.1145/2806416.2806569⟩. ⟨hal-01185840⟩

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Nicolas Gast. The Power of Two Choices on Graphs: the Pair-Approximation is Accurate. Workshop on MAthematical performance Modeling and Analysis, Jun 2015, Portland, United States. ⟨hal-01199271⟩

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Nicolas Gast, Benny van Houdt. Transient and Steady-state Regime of a Family of List-based Cache Replacement Algorithms. ACM SIGMETRICS 2015, Jun 2015, Portland, United States. ⟨10.1145/2745844.2745850⟩. ⟨hal-01143838⟩

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2014

Journal articles

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Christine Fricker, Nicolas Gast. Incentives and redistribution in homogeneous bike-sharing systems with stations of finite capacity. EURO Journal on Transportation and Logistics, 2014, pp.31. ⟨10.1007/s13676-014-0053-5⟩. ⟨hal-01086009⟩

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Nicolas Gast, Dan-Cristian Tomozei, Jean-Yves Le Boudec. Optimal Generation and Storage Scheduling in the Presence of Renewable Forecast Uncertainties. IEEE Transactions on Smart Grid, 2014, pp.12. ⟨10.1109/TSG.2013.2285395⟩. ⟨hal-01086022⟩

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Conference papers

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Nicolas Gast, Jean-Yves Le Boudec, Dan-Cristian Tomozei. Impact of Demand-Response on the Efficiency and Prices in Real-Time Electricity Markets. ACM e-Energy 2014, Jun 2014, Cambridge, United Kingdom. ⟨10.1145/2602044.2602052⟩. ⟨hal-01086036⟩

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2013

Journal articles

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Ramin Khalili, Nicolas Gast, Miroslav Popovic, Jean-Yves Le Boudec. MPTCP is not Pareto-Optimal: Performance Issues and a Possible Solution. IEEE/ACM Transactions on Networking, 2013, pp.15. ⟨10.1109/TNET.2013.2274462⟩. ⟨hal-01086030⟩

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Conference papers

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Nicolas Gast, Jean-Yves Leboudec, Alexandre Proutière, Dan-Cristian Tomozei. Impact of Storage on the Efficiency and Prices in Real-Time Electricity Markets. ACM e-Energy, May 2013, Berkeley, United States. pp.12, ⟨10.1145/2487166.2487169⟩. ⟨hal-00920091⟩

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2012

Journal articles

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Nicolas Gast, Bruno Gaujal. Markov chains with discontinuous drifts have differential inclusion limits. Performance Evaluation, 2012, 69 (12), pp.623-642. ⟨10.1016/j.peva.2012.07.003⟩. ⟨hal-00787999⟩

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Marc Tchiboukdjian, Nicolas Gast, Denis Trystram. Decentralized List Scheduling. Annals of Operations Research, 2012, ⟨10.1007/s10479-012-1149-7⟩. ⟨hal-00796248⟩

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Nicolas Gast, Bruno Gaujal, Jean-Yves Le Boudec. Mean field for Markov Decision Processes: from Discrete to Continuous Optimization. IEEE Transactions on Automatic Control, 2012, 57 (9), pp.2266 – 2280. ⟨10.1109/TAC.2012.2186176⟩. ⟨hal-00787996⟩

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Conference papers

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Ramin Khalili, Nicolas Gast, Miroslav Popovic, Utkarsh Upadhyay, Jean-Yves Le Boudec. MPTCP is not pareto-optimal : performance issues and a possible solution.. ACM CoNEXT 2012, Dec 2012, Nice, France. pp.1, ⟨10.1145/2413176.2413178⟩. ⟨hal-01086043⟩

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Christine Fricker, Nicolas Gast, Hanene Mohamed. Mean field analysis for inhomogeneous bike sharing systems. AofA, Jul 2012, Montreal, Canada. ⟨10.46298/dmtcs.3006⟩. ⟨hal-01086055⟩

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Reports

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Nicolas Gast, Bruno Gaujal. Markov chains with discontinuous drifts have differential inclusions limits. Application to stochastic stability and mean field approximation.. [Research Report] RR-7315, INRIA. 2012. ⟨inria-00491859v4⟩

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2011

Journal articles

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François Baccelli, Nicholas Bambos, Nicolas Gast. Distributed Delay-Power Control Algorithms for Bandwidth Sharing in Wireless Networks.. IEEE/ACM Transactions on Networking, 2011, 19 (5), pp.1458-1471. ⟨10.1109/TNET.2011.2163079⟩. ⟨hal-00940546⟩

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Nicolas Gast, Bruno Gaujal. A Mean Field Approach for Optimization in Discrete Time. Discrete Event Dynamic Systems, 2011, 21, pp.63-101. ⟨10.1007/s10626-010-0094-3⟩. ⟨hal-00788770⟩

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2010

Journal articles

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Nicolas Gast, Bruno Gaujal. Infinite labeled trees: From rational to Sturmian trees. Theoretical Computer Science, 2010, 411, pp.1146 – 1166. ⟨10.1016/j.tcs.2009.12.009⟩. ⟨hal-01086034⟩

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Conference papers

ref_biblio

Nicolas Gast. Mean field limits for controlled system. NET-COOP 2010 – 4th Workshop on Network Control and Optimization, Nov 2010, Ghent, Belgium. ⟨inria-00597572⟩

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Nicolas Gast, Bruno Gaujal. A Mean Field Model of Work Stealing in Large-Scale Systems. ACM sigmetrics, 2010, New-York, United States. pp.13-24, ⟨10.1145/1811039.1811042⟩. ⟨hal-00788862⟩

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Nicolas Gast, Bruno Gaujal. Mean field limit of non-smooth systems and differential inclusions. MAthematical performance Modeling and Analysis (MAMA), 2010, New-York, United States. pp.30-32, ⟨10.1145/1870178.1870189⟩. ⟨hal-00788863⟩

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Marc Tchiboukdjian, Nicolas Gast, Denis Trystram, Jean-Louis Roch, Julien Bernard. A Tighter Analysis of Work Stealing. The 21st International Symposium on Algorithms and Computation (ISAAC), 2010, Jeju Island, South Korea. pp.291-302, ⟨10.1007/978-3-642-17514-5_25⟩. ⟨hal-00788864⟩

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Reports

ref_biblio

Nicolas Gast, Bruno Gaujal, Jean-Yves Le Boudec. Mean field for Markov Decision Processes: from Discrete to Continuous Optimization. 2010. ⟨hal-00473005v3⟩

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Theses

ref_biblio

Nicolas Gast. Optimization and Control of Large Systems: Fighting the Curse of Dimensionality. Networking and Internet Architecture [cs.NI]. Université Grenoble Alpes, 2010. English. ⟨NNT : ⟩. ⟨tel-01875211⟩

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2009

Conference papers

ref_biblio

Nicolas Gast, Bruno Gaujal. A Mean Field Approach for Optimization in Particle Systems and Applications. Fourth International Conference on Performance Evaluation Methodologies and Tools, Valuetools, 2009, Pisa, Italy. pp.10, ⟨10.4108/ICST.VALUETOOLS2009.7477⟩. ⟨hal-00788908⟩

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Reports

ref_biblio

Nicolas Gast, Bruno Gaujal. Distributing labels on infinite trees. [Research Report] RR-6630, INRIA. 2009. ⟨inria-00318872v2⟩

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Nicolas Gast, Bruno Gaujal. A Mean Field Approach for Optimization in Particles Systems and Applications. [Research Report] RR-6877, INRIA. 2009, pp.23. ⟨inria-00368011v3⟩

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2007

Reports

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Nicolas Gast, Bruno Gaujal. Balanced Labeled Trees: Density, Complexity and Mechanicity. [Research Report] RR-6240, INRIA. 2007, pp.25. ⟨inria-00159564v2⟩

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2006

Reports

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Catherine Daramy-Loirat, David Defour, Florent de Dinechin, Matthieu Gallet, Nicolas Gast, et al.. CR-LIBM A library of correctly rounded elementary functions in double-precision. [Research Report] LIP,. 2006. ⟨ensl-01529804⟩

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2004

Reports

ref_biblio

Florent de Dinechin, Nicolas Gast. Towards the post-ultimate libm. [Research Report] RR-5367, LIP RR 2004-47, INRIA, LIP. 2004, pp.18. ⟨inria-00070636⟩

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