|
[1]
|
M. Benaïm, Recursive algorithms, urn processes and chaining number of chain recurrent sets, Ergodic Theory and Dynamical System, 18 (1998), 53-87. doi: 10.1017/S0143385798097557
|
|
[2]
|
M. Benaïm and J.-Y. Le Boudec, A class of mean field interaction models for computer and communication systems, Performance Evaluation, 65 (2008), 823-838.
|
|
[3]
|
M. Benaïm and J. Weibull, Deterministic approximation of stochastic evolution, Econometrica, 71 (2003), 873-904. doi: 10.1111/1468-0262.00429
|
|
[4]
|
M. Benaïm, Dynamics of stochastic approximation algorithms, in "Séminaire de Probabilités XXXIII," Lecture Notes in Math., 1709, Springer, Berlin, (1999), 1-68. doi: 10.1007/BFb0096509
|
|
[5]
|
G. Bianchi, IEEE 802.11-Saturation throughput analysis, IEEE Communications Letters, 2 (1998), 318-320. doi: 10.1109/4234.736171
|
|
[6]
|
C. Bordenave, D. McDonald and A. Proutière, A particle system in interaction with a rapidly varying environment: Mean field limits and applications, Networks and Heterogeneous Media, 5 (2010), 31-62. doi: 10.3934/nhm.2010.5.31
|
|
[7]
|
J. A. M Borghans, R. J. De Boer, E. Sercarz and V. Kumar, T cell vaccination in experimental autoimmune encephalomyelitis: A mathematical model, The Journal of Immunology, 161 (1998), 1087-1093.
|
|
[8]
|
L. Bortolussi, J.-Y. Le Boudec, D. Latella and M. Massink, Revisiting the limit behaviour of "El Botellon," Technical Report EPFL-REPORT-179935, EPFL, 2012. Available from: https://infoscience.epfl.ch/record/179935.
|
|
[9]
|
V. Capasso and D. Bakstein, "An Introduction to Continuous-Time Markov Processes. Theory, Models, and Applications to Finance, Biology, and Medicine," Modeling and Simulation in Science, Engineering and Technology, Birkhäuser, Boston, Inc., Boston, MA, 2005.
|
|
[10]
|
J.-W. Cho, J.-Y. Le Boudec and Y. Jiang, On the asymptotic validity of the fixed point equation and decoupling assumption for analyzing the 802.11 MAC protocol, IEEE Transactions on Information Theory, 58 (2012), 6879-6893. doi: 10.1109/TIT.2012.2208582
|
|
[11]
|
J.-P. Crametz and P. J. Hunt, A limit result respecting graph structure for a fully connected loss network with alternative routing, The Annals of Applied Probability, 1 (1991), 436-444. doi: 10.1214/aoap/1177005876
|
|
[12]
|
S. N. Ethier and T. G. Kurtz, "Markov Processes. Characterization and Convergence," Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics, John Wiley & Sons, Inc., New York, 1986. doi: 10.1002/9780470316658
|
|
[13]
|
C. Graham and S. Méléard, Propagation of chaos for a fully connected loss network with alternate routing, Stochastic Processes and Their Applications, 44 (1993), 159-180. doi: 10.1016/0304-4149(93)90043-4
|
|
[14]
|
F. P. Kelly, "Reversibility and Stochastic Networks," Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, Ltd., Chichester, 1979.
|
|
[15]
|
F. P. Kelly, Loss networks, The Annals of Applied Probability, 1 (1991), 319-378. doi: 10.1214/aoap/1177005872
|
|
[16]
|
A. Kumar, E. Altman, D. Miorandi and M. Goyal, New insights from a fixed-point analysis of single cell ieee 802.11 wlans, IEEE/ACM Transactions on Networking, 15 (2007), 588-601.
|
|
[17]
|
T. G. Kurtz, Solutions of ordinary differential equations as limits of pure jump Markov processes, Journal of Applied Probability, 7 (1979), 49-58. doi: 10.2307/3212147
|
|
[18]
|
Thomas G. Kurtz, "Approximation of Population Processes," CBMS-NSF Regional Conference Series in Applied Mathematics, 36, SIAM, Philadelphia, Pa., 1981.
|
|
[19]
|
J.-Y. Le Boudec, D. McDonald and J. Mundinger, A generic mean field convergence result for systems of interacting objects, in "Fourth International Conference on the Quantitative Evaluation of Systems" (QEST 2007), IEEE, (2007), 3-18. doi: 10.1109/QEST.2007.8
|
|
[20]
|
J.-Y. Le Boudec, "Performance Evaluation of Computer and Communication Systems," EPFL Press, Lausanne, Switzerland, 2010. Available from: http://perfeval.epfl.ch.
|
|
[21]
|
J.-Y. Le Boudec, Interinput and interoutput time distribution in classical product-form networks, IEEE Transactions on Software Engineering, 6 (1987), 756-759.
|
|
[22]
|
M. Massink, D. Latella, A. Bracciali and J. Hillston, Modelling non-linear crowd dynamics in bio-PEPA, in "Fundamental Approaches to Software Engineering," Lecture Notes in Computer Science, 6603, Springer Berlin Heidelberg, (2011), 96-110. doi: 10.1007/978-3-642-19811-3_8
|
|
[23]
|
R. Merz, J.-Y. Le Boudec and S. Vijayakumaran, Effect on network performance of common versus private acquisition sequences for impulse radio UWB networks, in "IEEE International Conference on Ultra-Wideband" (ICUWB 2006), IEEE, (2006), 375-380. doi: 10.1109/ICU.2006.281579
|
|
[24]
|
J. E. Rowe and R. Gomez, El Botellón: Modeling the movement of crowds in a city, Complex Systems, 14 (2003), 363-370.
|
|
[25]
|
W. H. Sandholm, "Population Games and Evolutionary Dynamics," Economic Learning and Social Evolution, MIT press, Cambridge, MA, 2010.
|
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