-
1
-
-
21344494520
-
Waiting-time tail probabilities in queues with long-tail service-time distributions
-
Abate, J., G. Choudhury, W. Whitt. 1994. Waiting-time tail probabilities in queues with long-tail service-time distributions. Queueing Systems. Theory and Appl. 16 387-396.
-
(1994)
Queueing Systems. Theory and Appl.
, vol.16
, pp. 387-396
-
-
Abate, J.1
Choudhury, G.2
Whitt, W.3
-
2
-
-
0033236508
-
On a reduced load equivalence for fluid queues under subexponentiality
-
Agrawal, R., A. Makowski, P. Nain. 1999. On a reduced load equivalence for fluid queues under subexponentiality. Queueing Systems Theory Appl. 33 5-41.
-
(1999)
Queueing Systems Theory Appl.
, vol.33
, pp. 5-41
-
-
Agrawal, R.1
Makowski, A.2
Nain, P.3
-
3
-
-
85127665852
-
Web server workload characterization: The search for invariants
-
Philadelphia, PA. Available from <{mfal26,carey}@cs.usask.ca>
-
Arlitt, M., C. Williamson. 1996. Web server workload characterization: The search for invariants (extended version). Proc. ACM Sigmetrics Conf. Philadelphia, PA. Available from <{mfal26,carey}@cs.usask.ca>.
-
(1996)
Proc. ACM Sigmetrics Conf.
-
-
Arlitt, M.1
Williamson, C.2
-
5
-
-
0029253909
-
Long range dependence in variable-bit-rate video
-
Beran, J., R. Sherman, W. Willinger, M. Taqqu. 1995. Long range dependence in variable-bit-rate video. IEEE Trans. Commun. 43 1566-1579.
-
(1995)
IEEE Trans. Commun.
, vol.43
, pp. 1566-1579
-
-
Beran, J.1
Sherman, R.2
Willinger, W.3
Taqqu, M.4
-
7
-
-
0003571205
-
-
Cambridge University Press, Cambridge, U.K.
-
Bingham, N., C. Goldie, J. Teugels. 1987. Regular Variation. Cambridge University Press, Cambridge, U.K.
-
(1987)
Regular Variation
-
-
Bingham, N.1
Goldie, C.2
Teugels, J.3
-
8
-
-
42449156579
-
Generalized autoregressive conditional heteroskedasticity
-
Bollerslev, T. 1986. Generalized autoregressive conditional heteroskedasticity. J. Econom. 31 307-327.
-
(1986)
J. Econom.
, vol.31
, pp. 307-327
-
-
Bollerslev, T.1
-
9
-
-
34848900983
-
ARCH modeling in finance: A review of the theory and empirical evidence
-
_, R. Chow, K. Kroner. 1992. ARCH modeling in finance: A review of the theory and empirical evidence. J. Econom. 52 5-59.
-
(1992)
J. Econom.
, vol.52
, pp. 5-59
-
-
Chow, R.1
Kroner, K.2
-
11
-
-
0342985818
-
Heavy traffic analysis for the GI/G/1 queue with heavy tailed distributions
-
P. Kay, D. Smith, eds. Edinburg, U.K.
-
Boxma, O., J. Cohen. 1999. Heavy traffic analysis for the GI/G/1 queue with heavy tailed distributions. P. Kay, D. Smith, eds. Teletraffic Engineering in a Competitive World, Proc. ITC 16, Edinburg, U.K., 345-354.
-
(1999)
Teletraffic Engineering in a Competitive World, Proc. ITC 16
, vol.16
, pp. 345-354
-
-
Boxma, O.1
Cohen, J.2
-
12
-
-
0032205736
-
Fluid queues with long-tailed activity period distributions. Special issue on "stochastic analysis and optimization of communication systems."
-
_, V. Dumas. 1998. Fluid queues with long-tailed activity period distributions. Special issue on "Stochastic Analysis and Optimization of Communication Systems." Comput. Commun. 21 1509-1529.
-
(1998)
Comput. Commun.
, vol.21
, pp. 1509-1529
-
-
Dumas, V.1
-
13
-
-
0000433886
-
Some results on regular variation for distributions in queueing and fluctuation theory
-
Cohen, J. W. 1973. Some results on regular variation for distributions in queueing and fluctuation theory. J. Appl. Probab. 10 343-353.
-
(1973)
J. Appl. Probab.
, vol.10
, pp. 343-353
-
-
Cohen, J.W.1
-
14
-
-
0003057550
-
Superimposed renewal processes and storage with gradual input
-
_. 1974. Superimposed renewal processes and storage with gradual input. Stochastic Processes and Their Appl. 2 31-58.
-
(1974)
Stochastic Processes and Their Appl.
, vol.2
, pp. 31-58
-
-
-
15
-
-
0003744571
-
-
Technical Report PNA-R9719, Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands
-
_. 1997a. Heavy-traffic limit theorems for the heavy-tailed GI/G/1 queue. Technical Report PNA-R9719, Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands.
-
(1997)
Heavy-traffic Limit Theorems for the Heavy-tailed GI/G/1 Queue
-
-
-
16
-
-
0009150277
-
-
Technical Report PNA-R9702, Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands
-
_. 1997b. On the M/G/1 queue with heavy-tailed service time distributions. Technical Report PNA-R9702, Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands.
-
(1997)
On the M/G/1 Queue with Heavy-tailed Service Time Distributions
-
-
-
22
-
-
0003123653
-
Safety first portfolio selection, extreme value theory and long run asset risks
-
J. Galambos, ed. Kluwer, Dordrecht, The Netherlands
-
_, D. W. Jansen, K. Koedijk, C. G. de Vries. 1994. Safety first portfolio selection, extreme value theory and long run asset risks. J. Galambos, ed. Extreme Value Theory and Applications. Kluwer, Dordrecht, The Netherlands. 471-487.
-
(1994)
Extreme Value Theory and Applications
, pp. 471-487
-
-
Jansen, D.W.1
Koedijk, K.2
De Vries, C.G.3
-
23
-
-
0002788005
-
On the relation between GARCH and stable processes
-
de Vries, C. G. 1991. On the relation between GARCH and stable processes. J. Econom. 48 313-324.
-
(1991)
J. Econom.
, vol.48
, pp. 313-324
-
-
Vries, C.G.1
-
24
-
-
84971179977
-
Large deviations and overflow probabilities for the general single-server queue, with applications
-
Duffield N., N. O'Connell. 1995. Large deviations and overflow probabilities for the general single-server queue, with applications. Math. Proc. Cambridge Philos. Soc. 118 363-374.
-
(1995)
Math. Proc. Cambridge Philos. Soc.
, vol.118
, pp. 363-374
-
-
Duffield, N.1
O'Connell, N.2
-
26
-
-
0042186289
-
-
Ph.D. thesis, Diss. ETH No. 12408, ETH, Zurich, Switzerland
-
Furrer, H. 1997. Risk theory and heavy-tailed Levy processes. Ph.D. thesis, Diss. ETH No. 12408, ETH, Zurich, Switzerland.
-
(1997)
Risk Theory and Heavy-tailed Levy Processes
-
-
Furrer, H.1
-
27
-
-
63449133985
-
Risk processes perturbed by α-stable Lévy motion
-
_. 1998. Risk processes perturbed by α-stable Lévy motion. Scand. Actuar. J. 1998 59-74.
-
(1998)
Scand. Actuar. J.
, vol.1998
, pp. 59-74
-
-
-
28
-
-
0003673620
-
-
CWI Tract. 40 Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands
-
Geluk, J. L., L. de Haan. 1987. Regular Variation, Extensions and Tauberian Theorems. CWI Tract. 40 Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands.
-
(1987)
Regular Variation, Extensions and Tauberian Theorems
-
-
Geluk, J.L.1
De Haan, L.2
-
30
-
-
0031260682
-
Patterns of buffer overflow in a class of queues with long memory in the input stream
-
Heath, D., S. Resnick, G. Samorodnitsky. 1997. Patterns of buffer overflow in a class of queues with long memory in the input stream. Ann. Appl. Probab. 7 1021-1057.
-
(1997)
Ann. Appl. Probab.
, vol.7
, pp. 1021-1057
-
-
Heath, D.1
Resnick, S.2
Samorodnitsky, G.3
-
31
-
-
0031996403
-
Heavy tails and long range dependence in on/off processes and associated fluid models
-
_, _, _. 1998. Heavy tails and long range dependence in on/off processes and associated fluid models. Math. Oper. Res. 23 145-165.
-
(1998)
Math. Oper. Res.
, vol.23
, pp. 145-165
-
-
-
32
-
-
0033469273
-
How system performance is affected by the interplay of averages in a fluid queue with long range dependence induced by heavy tails
-
_, _, _. 1999. How system performance is affected by the interplay of averages in a fluid queue with long range dependence induced by heavy tails. Ann. Appl. Probab. 9 352-375.
-
(1999)
Ann. Appl. Probab.
, vol.9
, pp. 352-375
-
-
-
33
-
-
84986382842
-
The limiting distribution of extremal exchange rate returns
-
Hols, M. C. A. B., C. G. de Vries. 1991. The limiting distribution of extremal exchange rate returns. J. Appl. Econom. 6 287-302.
-
(1991)
J. Appl. Econom.
, vol.6
, pp. 287-302
-
-
Hols, M.C.A.B.1
De Vries, C.G.2
-
34
-
-
0040456022
-
-
Aarhus University Lecture Notes Series, Aarhus, Denmark
-
Itô, K. 1969. Stochastic Processes, Volume 16. Aarhus University Lecture Notes Series, Aarhus, Denmark.
-
(1969)
Stochastic Processes
, vol.16
-
-
Itô, K.1
-
35
-
-
0032378453
-
Subexponential asymptotics of a Markov-modulated random walk with queueing applications
-
Jelenkovic P., A. Lazar. 1998. Subexponential asymptotics of a Markov-modulated random walk with queueing applications. J. Appl. Probab. 35 325-347.
-
(1998)
J. Appl. Probab.
, vol.35
, pp. 325-347
-
-
Jelenkovic, P.1
Lazar, A.2
-
36
-
-
0033140686
-
Asymptotic results for multiplexing subexponential on-off processes
-
_, A. Lazar. 1999. Asymptotic results for multiplexing subexponential on-off processes. Adv. Appl. Probab. 31 394-421.
-
(1999)
Adv. Appl. Probab.
, vol.31
, pp. 394-421
-
-
Lazar, A.1
-
37
-
-
0001116897
-
A network multiplexer with multiple time scale and subexponential arrivals
-
G. Paul, K. Sigman, D. D. Yao, eds. Springer, New York
-
Jelenković, P. R., A. A. Lazar. 1996. A network multiplexer with multiple time scale and subexponential arrivals. G. Paul, K. Sigman, D. D. Yao, eds. Stochastic Networks. Lecture Notes in Statistics, Volume 117. Springer, New York. 215-235.
-
(1996)
Stochastic Networks. Lecture Notes in Statistics
, vol.117
, pp. 215-235
-
-
Jelenković, P.R.1
Lazar, A.A.2
-
39
-
-
84959637968
-
The single server queue in heavy traffic
-
Kingman, J. F. C. 1961. The single server queue in heavy traffic. Proc. Cambridge Philos. Soc. 57 902-904.
-
(1961)
Proc. Cambridge Philos. Soc.
, vol.57
, pp. 902-904
-
-
Kingman, J.F.C.1
-
40
-
-
0002708534
-
The heavy traffic approximation in the theory of queues
-
Univ. North Carolina Press, Chapel Hill, NC
-
_. 1965. The heavy traffic approximation in the theory of queues. (With discussion.) Proc. Sympos. Congestion Theory (Chapel Hill, N.C., 1964). Univ. North Carolina Press, Chapel Hill, NC, 137-169.
-
(1965)
Proc. Sympos. Congestion Theory (Chapel Hill, N.C., 1964)
, pp. 137-169
-
-
-
41
-
-
0032382395
-
Macroscopic models for long-range dependent network traffic
-
Konstantopoulos, T., S.-J. Lin. 1998. Macroscopic models for long-range dependent network traffic. Queueing Sys. Theory Appl. 28 215-243.
-
(1998)
Queueing Sys. Theory Appl.
, vol.28
, pp. 215-243
-
-
Konstantopoulos, T.1
Lin, S.-J.2
-
42
-
-
85013591309
-
On the self-similar nature of ethernet traffic
-
Leland, W., M. Taqqu, W. Willinger, D. Wilson. 1993a. On the self-similar nature of Ethernet traffic. ACM/SIGCOMM Comput. Comm. Rev. 23 183-193.
-
(1993)
ACM/SIGCOMM Comput. Comm. Rev.
, vol.23
, pp. 183-193
-
-
Leland, W.1
Taqqu, M.2
Willinger, W.3
Wilson, D.4
-
43
-
-
0037548327
-
Statistical analysis of high time-resolution Ethernet LAN traffic measurements
-
_, _, _, _. 1993b. Statistical analysis of high time-resolution Ethernet LAN traffic measurements. P Comp. Sci St. 25 146-155.
-
(1993)
P Comp. Sci St.
, vol.25
, pp. 146-155
-
-
-
44
-
-
0028377540
-
On the self-similar nature of Ethernet traffic
-
_, _, _, _. 1994. On the self-similar nature of Ethernet traffic (extended version). IEEE/ACM Trans. Networking 2 1-15.
-
(1994)
IEEE/ACM Trans. Networking
, vol.2
, pp. 1-15
-
-
-
45
-
-
85011501232
-
Estimating the tails of loss severity distributions using extreme value theory
-
McNeil, A. 1997. Estimating the tails of loss severity distributions using extreme value theory. Astin Bull. 27 117-137.
-
(1997)
Astin Bull.
, vol.27
, pp. 117-137
-
-
McNeil, A.1
-
46
-
-
0000334627
-
Processus ponctuels
-
1976. Lecture Notes in Math., Springer-Verlag, Berlin, Germany
-
Neveu, J. 1977. Processus ponctuels. École d'Été de Probabilités de Saint-Flour, VI-. 1976. Lecture Notes in Math., Vol. 598. Springer-Verlag, Berlin, Germany. 249-445.
-
(1977)
École D'été de Probabilités de Saint-flour, VI-
, vol.598
, pp. 249-445
-
-
Neveu, J.1
-
47
-
-
0016556936
-
On the tails of waiting-time distributions
-
Pakes, A. G. 1975. On the tails of waiting-time distributions. J. Appl. Probab. 12 555-564.
-
(1975)
J. Appl. Probab.
, vol.12
, pp. 555-564
-
-
Pakes, A.G.1
-
49
-
-
0002095272
-
Point processes, regular variation and weak convergence
-
Resnick, S. 1986. Point processes, regular variation and weak convergence. Adv. Appl. Probab. 18 66-138.
-
(1986)
Adv. Appl. Probab.
, vol.18
, pp. 66-138
-
-
Resnick, S.1
-
52
-
-
85011519678
-
Discussion of the Danish data on large fire insurance losses
-
_. 1997a. Discussion of the Danish data on large fire insurance losses. Astin Bull. 27 139-151.
-
(1997)
Astin Bull.
, vol.27
, pp. 139-151
-
-
-
53
-
-
0031512270
-
Heavy tail modeling and teletraffic data
-
_. 1997b. Heavy tail modeling and teletraffic data. Ann. Statist. 25 1805-1869.
-
(1997)
Ann. Statist.
, vol.25
, pp. 1805-1869
-
-
-
54
-
-
0033236509
-
Activity periods of an infinite server queue and performance of certain heavy tailed fluid queues
-
_, G. Samorodnitsky. 1999. Activity periods of an infinite server queue and performance of certain heavy tailed fluid queues. Queueing Systems 33 43-71.
-
(1999)
Queueing Systems
, vol.33
, pp. 43-71
-
-
Samorodnitsky, G.1
-
56
-
-
0031125708
-
Proof of a fundamental result in self-similar traffic modeling
-
Taqqu, M., W. Willinger, R. Sherman. 1997. Proof of a fundamental result in self-similar traffic modeling. Comput. Comm. Rev. 27 5-23.
-
(1997)
Comput. Comm. Rev.
, vol.27
, pp. 5-23
-
-
Taqqu, M.1
Willinger, W.2
Sherman, R.3
-
57
-
-
0002237215
-
Asymptotic behavior of Wiener-Hopf factors of a random walk
-
Veraverbeke, N. 1975. Asymptotic behavior of Wiener-Hopf factors of a random walk. Stochastic Processes and their Appl. 5 27-37.
-
(1975)
Stochastic Processes and Their Appl.
, vol.5
, pp. 27-37
-
-
Veraverbeke, N.1
-
58
-
-
0008985934
-
The continuity of queues
-
Whitt, W. 1974a. The continuity of queues. Adv. Appl. Probab. 6 175-183.
-
(1974)
Adv. Appl. Probab.
, vol.6
, pp. 175-183
-
-
Whitt, W.1
-
59
-
-
0000729824
-
Heavy traffic limit theorems for queues: A survey
-
Lecture Notes in Econom. and Math. Systems, Springer, Berlin, Germany
-
_. 1974b. Heavy traffic limit theorems for queues: A survey. Mathematical methods in queueing theory (Proc. Conf., Western Michigan Univ., Kalamazoo, Mich., 1973). Lecture Notes in Econom. and Math. Systems, Vol. 98. Springer, Berlin, Germany. 307-350.
-
(1974)
Mathematical Methods in Queueing Theory (Proc. Conf., Western Michigan Univ., Kalamazoo, Mich., 1973)
, vol.98
, pp. 307-350
-
-
-
60
-
-
0001123521
-
Asymptotic expansion for waiting time probabilities in an M/G/1 queue with long-tailed service time
-
Willekens, E., J. Teugels. 1992. Asymptotic expansion for waiting time probabilities in an M/G/1 queue with long-tailed service time. Queueing Systems. Theory and Appl. 10 295-312.
-
(1992)
Queueing Systems. Theory and Appl.
, vol.10
, pp. 295-312
-
-
Willekens, E.1
Teugels, J.2
-
61
-
-
84972521562
-
Self-similarity in high-speed packet traffic: Analysis and modelling of ethernet traffic measurements
-
Willinger, W., M. Taqqu, M. Leland, D. Wilson. 1995a. Self-similarity in high-speed packet traffic: Analysis and modelling of ethernet traffic measurements. Statist. Sci. 10 67-85.
-
(1995)
Statist. Sci.
, vol.10
, pp. 67-85
-
-
Willinger, W.1
Taqqu, M.2
Leland, M.3
Wilson, D.4
-
62
-
-
85013592037
-
Self-similarity through high variability: Statistical analysis of ethernet LAN traffic at the source level
-
_, _, _, _. 1995b. Self-similarity through high variability: Statistical analysis of ethernet LAN traffic at the source level. Comput. Comm. Rev. 25 100-113. Proc. ACM/SIGCOMM'95, Cambridge, MA.
-
(1995)
Comput. Comm. Rev.
, vol.25
, pp. 100-113
-
-
-
63
-
-
85013592037
-
-
Cambridge, MA
-
_, _, _, _. 1995b. Self-similarity through high variability: Statistical analysis of ethernet LAN traffic at the source level. Comput. Comm. Rev. 25 100-113. Proc. ACM/SIGCOMM'95, Cambridge, MA.
-
Proc. ACM/SIGCOMM'95
-
-
-
64
-
-
0000904438
-
The first passage time of a level and the behaviour at infinity of a class of processes with independent increments
-
Zolotarev, V. M. 1964. The first passage time of a level and the behaviour at infinity of a class of processes with independent increments. Theory Probab. Appl. 9 653-661.
-
(1964)
Theory Probab. Appl.
, vol.9
, pp. 653-661
-
-
Zolotarev, V.M.1
-
65
-
-
0000736732
-
A fluid queue with a finite buffer and subexponential input
-
Zwart, A. 2000. A fluid queue with a finite buffer and subexponential input. Adv. Appl. Probab. 32 221-243.
-
(2000)
Adv. Appl. Probab.
, vol.32
, pp. 221-243
-
-
Zwart, A.1
-
66
-
-
0343857036
-
Sojourn times in a multiclass processor sharing queue
-
Edinburgh, U.K.
-
_. 2000. Sojourn times in a multiclass processor sharing queue. P. Kay, D. Smith, eds, Teletraffic Engineering in a Competetive World, Proc. ITC 16, Edinburgh, U.K., 345-354.
-
(2000)
Teletraffic Engineering in a Competetive World, Proc. ITC 16
, vol.16
, pp. 345-354
-
-
Kay, P.1
Smith, D.2
|