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Fabrice Guillemin – applied probability papers

  1. Fabrice Guillemin, Philippe Olivier, Alain Simonian, Christian Tanguy. Two parallel queues with infinite servers and join the shortest queue discipline. Sochastic Models, 2015.

  2. Fabrice Guillemin and Ravi Mazumdar. Volatility of payment schemes for bandwidth sharing in packet networks. Journal of Applied Probabiity, December 2015.

  3. Fabrice Guillemin and Bruno Sericola. Volume and duration of losses in finite buffer fluid queues. Jounal of Applied Probability, September 2015.
  4. Fabrice Guillemin and Alain Simonian. Stationary analysis of the shortest queue first service policy. Queueing Syst. 77(4): 393-426 (2014).
  5. Fabrice Guillemin, Charles Knessl, and Johan S. H. van Leeuwaarden. Wireless multi-hop networks with stealing: large buffer asymptotics via the ray method. SIAM Journal on Applied Mathematics 71: 1220 – 1240 (2011).
  6. C. Fricker, F. Guillemin and P. Robert. An identification problem in an urn and ball model with heavy tailed distributions. Probability in the Engineering and Informational Sciences, Volume 24, Issue 01, January 2010, pp 77-97
  7. C. Fricker, F. Guillemin and P. Robert. Perturbation analysis of an M/M/1 queue in a diffusion random environment. Queueing Systems 61:1-35, 2009.
  8. F. Guillemin and P. Robert. Analysis of Steiner subtrees of random trees for traceroute algorithms. Random Structures and Algorithms 35(1):194-215, 2009.
  9. F. Piera, R. Mazumdar, and F. Guillemin. Existence and Characterization of Product-form Invariant Distributions for State-dependent Stochastic Networks in the Heavy-traffic Diffusion Limit. Queueing Syst. 58(1): 3-27 (2008)
  10. F. Guillemin, R. Mazumdar, C. Rosenberg and Yu Ying. Stochastic odering property for leaky bucket regulated flows in packet networks. Journal of Applied Probability, 2007.
  11. F. Guillemin and B. Sericola. Stationary analysis of a fluid queue driven by a countable state space Markov chain. Methodology and Computing in Applied Probability, December 2007.
  12. F. Piera, R. Mazumdar, and F. Guillemin. On the local times and boundary properties of reflected diffusions with jumps in the positive orthant. Markov Processes and Related Fields 12, pp 561-582, 2006.
  13. N. Antunes, C. Fricker, F. Guillemin, and P. Robert. Perturbation analysis of a variable M/M/1 queue: a probabilistic approach. Advances in Applied Probability 38(1), pp 263-283, 2006.
  14. B. Sericola, F. Guillemin and J. Boyer Sojourn times in the M/PH/1 processor sharing queue. Queueing Systems 50, pp 109-130, 2005.
  15. F. Piera, R. Mazumdar, F. Guillemin. On product-form stationary distributions for reflected diffusions with jumps in the positive orhtant. Advances in Applied Probability, Vol 37(1), March 2005.
  16. P. Dube, F. Guillemin and R. Mazumdar. Scale functions of Lévy processes and busy periods of infinite capacity M/GI/1 queues. Journal of Applied Probability 41(4), December 2004.
  17. F. Guillemin and D. Pinchon. Analysis of the weighted fair queueing system with two classes of customers with exponential service times. Journal of Applied Probability 41(3), September 2004.
  18. F. Guillemin, P. Robert, and B. Zwart. Tail asymptotics of processor sharing queues. Advances in Applied Probability 36(2), pp 1-19, June 2004.
  19. Fabrice Guillemin, Philippe Robert, and Bert Zwart. AIMD algorithms and exponential functionals. Annals of Applied Probability 14(1), pp. 90-117, February 2004. 
  20. F. Guillemin and R. Mazumdar. Rate conservation laws for multidimensional processes of bounded variation with applications to priority queueing systems. Methodology and Computing in Applied Probability 6, pp 135-139, 2004.
  21. F. Guillemin, R. Mazumdar, A. Dupuis, and J. Boyer. Analysis of the fluid weighted fair queueing system. Journal of Applied Probability 40, pp. 180-199, March 2003.
  22. Vincent Dumas, Fabrice Guillemin, and Philippe Robert. A Markovian analysis of AIMD algorithms. Advances in Applied Probability, 34(1):85-111, 2002.
  23. J. Boyer, F. Guillemin. Spectral analysis of the M/M/1 queue with processor sharing. Queueing Systems, 39(4):377-397, 2001.
  24. P. Flajolet and F. Guillemin. The formal theory of birth and death processes, lattice path combinatorics, and continued fractions. Advances in Applied Probability, 32(3):750-778, 2000.
  25. F. Guillemin et D. Pinchon. On a random variable associated with excursions in an M/M/Inf system. Queueing Systems, 32:305-318, 1999.
  26. F. Guillemin and D. Pinchon. Excursions of birth and death processes, orthogonal polynomials, and continued fractions. Journal of Applied Probability, 36(3):752-770, 1999.
  27. F. Guillemin and D. Pinchon. On the area swept under the occupation process of an M/M/1 queue in a busy period. Queueing Systems, 29:383-398, 1998.
  28. F. Guillemin and D. Pinchon. Continued fraction analysis of the duration of an excursion in an M/M/Inf system. Journal of Applied Probability, 35(1):165-183, 1998. 
  29. A. Dupuis, F. Guillemin, and B. Sericola. Asymptotic results for the superposition of a large number of data connections on an ATM link. Queueing Systems and Their Applications, 26:121-150, 1997.
  30. F. Guillemin et R. Mazumdar. On pathwise analysis and existence of empirical distributions for G/G/1 queues. Stochastic Processes and their Applications, 67:57-67, 1997.
  31. F. Guillemin, R. Mazumdar, and A. Simonian. On heavy traffic approximations for transient characteristics of M/M/Inf queues. Journal of Applied Probability, 33:490-506, 1996.
  32. R. Mazumdar and F. Guillemin. Forward equations for reflected diffusions with jumps. Applied Mathematics and Optimization, 33:81-102, 1996.
  33. F. Guillemin and A. Simonian. Transient characteristics of an M/M/Inf system. Advances in Applied Probability, 27:862-888, 1995.
  34. F. Guillemin and R. Mazumdar. Excursions of the workload process in G/GI/1 queues. Stochastic Processes and their Applications, 58:139-154, 1995.
  35. F. Guillemin and R. Mazumdar. The Benes equation for the distribution of excursions for general storage processes. Journal of Applied Probability, 31:418-429, 1994.
  36. F. Guillemin and R. Mazumdar. On pathwise behavior of multiserver queues. Queueing Systems and Their Applications, 15:279-288, 1994.
  37. R. Mazumdar, V. Badrinath, F. Guillemin, and C. Rosenberg. A note on the pathwise version of Little’s formula. Operations Research Letters, 14:19-24, 1993.
  38. R. Mazumdar, V. Badrinath, F. Guillemin, and C. Rosenberg. Pathwise rate conservation for a class of semi-martingales. Stochastic Processes and their Applications, 47:119-130, 1993. The results of this paper can be found in a technical report written in french
  39. R. Mazumdar, F. Guillemin, V. Badrinath, and R. Kannurpatti. On pathwise behavior of queues. Operations Research Letters, 12:263-270, 1992. The results of this paper can be found in a technical report written in french
  40. F. Guillemin. Relations entre distribution aux instants d’arrivée et distribution stationnaire pour des files d’attente usuelles. Annales des Télécommunications, 46(7-8):408-417, 1991.