Continuity, Extrema, and Related Topics for General Gaussian Processes, Institute of Math. Stat., Lecture notes, 1990. ,
On a reduced load equivalence for fluid queues under subexponentiality, Queueing Systems, vol.33, issue.1/3, pp.5-41, 1999. ,
DOI : 10.1023/A:1019111809660
URL : https://hal.archives-ouvertes.fr/inria-00073224
How large delays build up in a GI/G/1 queue, Queueing Systems, vol.68, issue.No. 2, pp.345-367, 1989. ,
DOI : 10.1007/BF01225324
Scheduling strategies and long-range dependence, Queueing Systems, vol.33, issue.1/3, pp.73-89, 1999. ,
DOI : 10.1023/A:1019115910569
Analysis of rare events in continuous time markov chains via time reversal and fluid approximation, 1990. ,
A Probabilistic Look at the Wiener--Hopf Equation, SIAM Review, vol.40, issue.2, pp.189-201, 1998. ,
DOI : 10.1137/S0036144596303534
Large deviations results in the presence of heavy tails, Stoc. Proc. Appl, vol.64, pp.265-286, 1996. ,
Tail probabilities for non-standard risk and queueing processes with subexponential jumps, Advances in Applied Probability, vol.48, issue.02, pp.422-447, 1999. ,
DOI : 10.1080/03461238.1975.10405073
Branching Processes, 1972. ,
DOI : 10.1007/978-3-642-65371-1
Elements of Queueing Theory, 2003. ,
DOI : 10.1007/978-3-662-11657-9
Synchronization and Linearity, 1992. ,
Ergodicity of Jackson-type queueing networks Queueing Systems Theory Appl, pp.5-72, 1994. ,
On the saturation rule for the stability of queues, Journal of Applied Probability, vol.12, issue.02, pp.494-507, 1995. ,
DOI : 10.1214/aoap/1177005203
URL : https://hal.archives-ouvertes.fr/inria-00074656
Moments and tails in monotone-separable stochastic networks, Ann. Appl. Probab, vol.14, issue.2, pp.612-650, 2004. ,
URL : https://hal.archives-ouvertes.fr/inria-00072425
Tails in generalized Jackson networks with subexponential service-time distributions, Journal of Applied Probability, vol.42, issue.02, pp.513-530, 2005. ,
DOI : 10.1239/jap/1118777184
Asymptotics of Subexponential Max Plus Networks: the Stochastic Event Graph Case, Queueing Systems, vol.46, issue.1/2, pp.75-96, 2004. ,
DOI : 10.1023/B:QUES.0000021142.51241.76
URL : https://hal.archives-ouvertes.fr/inria-00071627
Asymptotics of stochastic networks with subexponential service times, QUESTA, vol.33, pp.205-232, 1999. ,
On the large deviations behavior of acyclic networks of $G/G/1$ queues, The Annals of Applied Probability, vol.8, issue.4, pp.1027-1069, 1998. ,
DOI : 10.1214/aoap/1028903373
Probability and Measure, 1979. ,
Some limit theorems in queueing theory, Teor. Verojatnost. i Primenen, vol.9, pp.608-625, 1964. ,
Reduced-load equivalence and induced burstiness in GPS queues with long-tailed traffic flows, Queueing Systems, vol.43, issue.4, pp.273-306, 2003. ,
DOI : 10.1023/A:1023237129453
Generalized processor sharing queues with heterogeneous traffic classes, Advances in Applied Probability, vol.5, issue.03, pp.806-845, 2003. ,
DOI : 10.2307/3212870
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.18.2181
Sample path large deviations and intree networks, Queueing Systems, vol.2, issue.1-2, pp.7-36, 1995. ,
DOI : 10.1007/BF01158430
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.7.4858
Effective bandwidths of departure processes from queues with time varying capacities, Proceedings of INFOCOM'95, 1995. ,
DOI : 10.1109/INFCOM.1995.515976
Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines, The Annals of Applied Probability, vol.5, issue.3, pp.637-665, 1995. ,
DOI : 10.1214/aoap/1177004699
Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations, Mathematics of Operations Research, vol.16, issue.2, pp.408-446, 1991. ,
DOI : 10.1287/moor.16.2.408
Some results on regular variation for distributions in queueing and fluctuation theory, Journal of Applied Probability, vol.2, issue.02, pp.343-353, 1973. ,
DOI : 10.1137/1115046
Ergodic Theory, 1982. ,
DOI : 10.1007/978-1-4615-6927-5
On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models, The Annals of Applied Probability, vol.5, issue.1, pp.49-77, 1995. ,
DOI : 10.1214/aoap/1177004828
A fluid limit model criterion for instability of multiclass queueing networks, The Annals of Applied Probability, vol.6, issue.3, pp.751-757, 1996. ,
DOI : 10.1214/aoap/1034968225
Decoupling bandwidths for networks: a decomposition approach to resource management, Proceedings of INFOCOM '94 Conference on Computer Communications, 1994. ,
DOI : 10.1109/INFCOM.1994.337697
Large Deviations for Exchangeable Random Vectors, The Annals of Probability, vol.20, issue.3, pp.1147-1166, 1992. ,
DOI : 10.1214/aop/1176989683
Large deviations and overflow probabilities for the general single-server queue, with applications, Mathematical Proceedings of the Cambridge Philosophical Society, vol.118, issue.02, pp.363-375, 1995. ,
DOI : 10.1007/BF01158964
Logarithmic asymptotics for the supremum of a stochastic process, Ann. Appl. Probab, vol.13, issue.2, pp.430-445, 2003. ,
The large deviation principle for a general class of queueing systems, I. Trans. Amer. Math. Soc, vol.347, issue.8, pp.2689-2751, 1995. ,
Large Deviations for Markov Processes with Discontinuous Statistics, I: General Upper Bounds, The Annals of Probability, vol.19, issue.3, pp.1280-1297, 1991. ,
DOI : 10.1214/aop/1176990344
A Skorokhod problem formulation and large deviation analysis of a processor sharing model, Queueing Systems, vol.28, issue.1/3, pp.109-124, 1998. ,
DOI : 10.1023/A:1019186720196
Convex duality and the Skorokhod problem. I, II. Probab. Theory Related Fields, pp.153-195, 1999. ,
Modelling of extremal events in insurance and finance, ZOR Zeitschrift f???r Operations Research Mathematical Methods of Operations Research, vol.73, issue.1, 2003. ,
DOI : 10.1007/BF01440733
Estimates for the probability of ruin with special emphasis on the possibility of large claims, Insurance: Mathematics and Economics, vol.1, issue.1, pp.55-72, 1982. ,
DOI : 10.1016/0167-6687(82)90021-X
Large deviations for stochastic processes, 2005. ,
DOI : 10.1090/surv/131
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.65.7544
Ergodicity of queueing networks, Sib. Math. J, vol.32, pp.184-203, 1991. ,
Large deviations of the sojourn time for queues in series, Annals of Operations Research, vol.79, pp.3-26, 1998. ,
DOI : 10.1023/A:1018930907280
Stationary tail probabilities in exponential server tandems with renewal arrivals, Queueing Systems, vol.29, issue.3-4, pp.203-247, 1996. ,
DOI : 10.1007/BF01149173
Big Queues, 2004. ,
DOI : 10.1007/978-3-540-39889-9
The linear geodesic property is not generally preserved by a FIFO queue, The Annals of Applied Probability, vol.8, issue.1, pp.98-111, 1998. ,
DOI : 10.1214/aoap/1027961035
An Extension of the Contraction Principle, Journal of Theoretical Probability, vol.17, issue.2, pp.403-434, 2004. ,
DOI : 10.1023/B:JOTP.0000020701.20424.d8
Large deviations behavior of counting processes and their inverses, Queueing Systems, vol.2, issue.1-2, pp.107-128, 1994. ,
DOI : 10.1007/BF01158691
Logarithmic asymptotics for steady-state tail probabilities in a single-server queue, Journal of Applied Probability, vol.8, issue.A, pp.131-156, 1994. ,
DOI : 10.2307/1427244
Subexponential distributions. In A practical guide to heavy tails, Birkhäuser Boston, pp.435-459, 1995. ,
Closed Queuing Systems with Exponential Servers, Operations Research, vol.15, issue.2, pp.254-265, 1967. ,
DOI : 10.1287/opre.15.2.254
Large deviations in subadditive processes and first-passage percolation, Contemp. Math, vol.41, pp.175-194, 1984. ,
DOI : 10.1090/conm/041/814710
Large deviations for global maxima of independent superadditive processes with negative drift and an application to optimal sequence alignments, Bernoulli, vol.10, issue.5, pp.829-845, 2004. ,
DOI : 10.3150/bj/1099579157
Postulates for Subadditive Processes, The Annals of Probability, vol.2, issue.4, pp.652-680, 1974. ,
DOI : 10.1214/aop/1176996611
URL : http://projecteuclid.org/download/pdf_1/euclid.aop/1176996611
Reflected brownian motion on an orthant. The Annals of Prob, pp.302-308, 1981. ,
Steady-state asymptotics for tandem, split-match and other feedforward queues with heavy-tailed service, QUESTA, vol.33, pp.233-260, 1999. ,
Extreme Values in the GI/G/1 Queue, The Annals of Mathematical Statistics, vol.43, issue.2, pp.627-635, 1972. ,
DOI : 10.1214/aoms/1177692642
Large deviations of Jackson networks, The Annals of Applied Probability, vol.10, issue.3, pp.962-1001, 2000. ,
DOI : 10.1214/aoap/1019487515
Large deviations for processes with discontinuous statistics, The Annals of Probability, vol.33, issue.4, pp.1479-1508, 2005. ,
DOI : 10.1214/009117905000000189
Jobshop-like queueing systems, Management Sci, vol.10, pp.518-527, 1963. ,
DOI : 10.1287/mnsc.1040.0268
Asymptotic results for multiplexing subexponential on-off processes, Advances in Applied Probability, vol.58, issue.02, pp.394-421, 1999. ,
DOI : 10.1287/opre.40.3.S257
Reduced load equivalence under subexponentiality, Queueing Systems, vol.43, pp.273-306, 2003. ,
Reversibility and stochastic networks, 1979. ,
The ergodic theory of subadditive stochastic processes, J. Roy. Statist. Soc. Ser. B, vol.30, pp.499-510, 1968. ,
On distribution tail of the maximum of a random walk, Stochastic Processes and their Applications, vol.72, issue.1, pp.97-103, 1997. ,
DOI : 10.1016/S0304-4149(97)00060-4
Fluid limit of generalized Jackson queueing networks with stationary and ergodic arrivals and service times, Journal of Applied Probability, vol.10, issue.02, pp.491-512, 2005. ,
DOI : 10.1214/aoap/1034968225
URL : https://hal.archives-ouvertes.fr/inria-00071514
Asymptotic tail distribution of end-to-end delay in networks of queues with self-similar cross traffic, IEEE INFOCOM 2004, 2004. ,
DOI : 10.1109/INFCOM.2004.1354657
URL : https://hal.archives-ouvertes.fr/inria-00071628
Cell loss asymptotics for buffers fed with a large number of independent stationary sources, Journal of Applied Probability, vol.19, issue.01, pp.86-96, 1999. ,
DOI : 10.1214/aoms/1177705674
Loss asymptotics in large buffers fed by heterogeneous long-tailed sources, Advances in Applied Probability, vol.II, issue.04, pp.1168-1189, 2000. ,
DOI : 10.1007/BF01158964
Single class queueing networks with discrete and fluid customers on the time interval R, Queueing Systems, vol.36, issue.4, pp.405-435, 2000. ,
DOI : 10.1023/A:1011093504603
Single Class Queueing Networks with Discrete and Fluid Customers on the Time Interval R, 1981. ,
Large buffer asymptotics for the queue with fractional Brownian input, Journal of Applied Probability, vol.23, issue.03, pp.894-906, 1999. ,
DOI : 10.1017/S0305004100073709
A storage model with self-similar input, Queueing Systems, vol.29, issue.3-4, pp.387-396, 1994. ,
DOI : 10.1007/BF01158964
URL : http://dx.doi.org/10.1007/BF01158964
A benes formula for a buffer with fractional brownian input. 9th ITC Specialists Seminar'95 : Teletraffic Modelling and Measurement, 1995. ,
Large deviations for departures from a shared buffer, Journal of Applied Probability, vol.31, issue.03, pp.753-766, 1997. ,
DOI : 10.1109/49.400654
On the tails of waiting-time distributions, Journal of Applied Probability, vol.34, issue.03, pp.555-564, 1975. ,
DOI : 10.1137/1109088
Large deviation analysis of the single server queue Queueing Systems Theory Appl, pp.5-66, 1995. ,
Non-negative Matrices and Markov Chains, 1981. ,
DOI : 10.1007/0-387-32792-4
Large deviation principles for Euclidean functionals and other nearly additive processes. Probab. Theory Related Fields, pp.309-345, 2001. ,
Stochastic Equations for Diffusion Processes in a Bounded Region, Theory of Probability & Its Applications, vol.6, issue.3, pp.264-274, 1961. ,
DOI : 10.1137/1106035
A lattice-theoretical fixpoint theorem and its applications, Pacific Journal of Mathematics, vol.5, issue.2, pp.285-309, 1955. ,
DOI : 10.2140/pjm.1955.5.285
Large Deviations of Products of Random Topical Operators, The Annals of Applied Probability, vol.12, issue.1, pp.317-333, 2002. ,
DOI : 10.1214/aoap/1015961166
Asymptotic behavior of wiener-hopf factors of a random walk, Stochastic Processes and Applications, pp.27-37, 1977. ,
A Note on Veraverbeke's Theorem, Queueing Systems, vol.46, issue.1/2, pp.9-14, 2004. ,
DOI : 10.1023/B:QUES.0000021155.44510.9f
multidimensional random walk in random environment, The Annals of Probability, vol.26, issue.4, pp.1446-1476, 1998. ,
DOI : 10.1214/aop/1022855870
Queueins Systems with Heavy Tails, 2001. ,