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Volumn 40, Issue 3, 2003, Pages 704-720

Exact overflow asymptotics for queues with many Gaussian inputs

Author keywords

Exact asymptotics; Extremes; Fluid queue; Fractional Brownian motion; Gaussian process; Integrated Gaussian process; Overflow probability

Indexed keywords


EID: 0242592979     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1059060897     Document Type: Article
Times cited : (52)

References (28)
  • 1
    • 0001214298 scopus 로고    scopus 로고
    • Performance formulae for queues with Gaussian input
    • Proc. 16th Internat. Teletraffic Cong., Edinburgh, June 1999, eds P. Key and D. Smith, Elsevier, Amsterdam
    • ADDIE, R., MANNERSALO, P. AND NORROS, I. (1999). Performance formulae for queues with Gaussian input. In Teletraffic Engineering in a Competitive World (Proc. 16th Internat. Teletraffic Cong., Edinburgh, June 1999), eds P. Key and D. Smith, Elsevier, Amsterdam, pp. 1169-1178.
    • (1999) Teletraffic Engineering in a Competitive World , pp. 1169-1178
    • Addie, R.1    Mannersalo, P.2    Norros, I.3
  • 2
    • 0020191755 scopus 로고
    • Stochastic theory of a data handling system with multiple sources
    • ANICK, D., MITRA, D. AND SONDHI, M. M. (1982). Stochastic theory of a data handling system with multiple sources. Bell System Tech. J. 61, 1871-1894.
    • (1982) Bell System Tech. J. , vol.61 , pp. 1871-1894
    • Anick, D.1    Mitra, D.2    Sondhi, M.M.3
  • 3
    • 0001505964 scopus 로고
    • On deviations of the sample mean
    • BAHADUR, R. R. AND RAO, R. R. (1960). On deviations of the sample mean. Ann. Math. Statist. 31, 1015-1027.
    • (1960) Ann. Math. Statist. , vol.31 , pp. 1015-1027
    • Bahadur, R.R.1    Rao, R.R.2
  • 5
    • 34249761043 scopus 로고
    • Large deviations, the shape of the loss curve, and economies of scale in large multiplexers
    • BOTVICH, D. AND DUFHELD, N. G. (1995). Large deviations, the shape of the loss curve, and economies of scale in large multiplexers. Queueing Systems 20, 293-320.
    • (1995) Queueing Systems , vol.20 , pp. 293-320
    • Botvich, D.1    Dufheld, N.G.2
  • 6
    • 0030496818 scopus 로고    scopus 로고
    • Buffer overflow asymptotics for a buffer handling many traffic sources
    • COURCOUBETIS, C. AND WEBER, R. (1996). Buffer overflow asymptotics for a buffer handling many traffic sources. J. Appl. Prob. 33, 886-903.
    • (1996) J. Appl. Prob. , vol.33 , pp. 886-903
    • Courcoubetis, C.1    Weber, R.2
  • 7
    • 0036162320 scopus 로고    scopus 로고
    • Ruin probabilities for Gaussian integrated processes
    • DȨBICKI, K. (2002). Ruin probabilities for Gaussian integrated processes. Stoch. Process. Appl. 98, 151-174.
    • (2002) Stoch. Process. Appl. , vol.98 , pp. 151-174
    • Dȩbicki, K.1
  • 8
    • 0032683048 scopus 로고    scopus 로고
    • Heavy traffic asymptotics of on-off fluid model
    • DȨBICKI, K. AND PALMOWSKI, Z. (1999). Heavy traffic asymptotics of on-off fluid model. Queuing Systems 33, 327-338.
    • (1999) Queuing Systems , vol.33 , pp. 327-338
    • Dȩbicki, K.1    Palmowski, Z.2
  • 9
  • 11
    • 0141576509 scopus 로고    scopus 로고
    • A note on transient Gaussian fluid models
    • DȨBICKI, K. AND ROLSKI, T. (2002). A note on transient Gaussian fluid models. Queueing Systems 41, 321-342.
    • (2002) Queueing Systems , vol.41 , pp. 321-342
    • Dȩbicki, K.1    Rolski, T.2
  • 12
    • 84971179977 scopus 로고
    • Large deviations and overflow probabilities for the general single server queue, with applications
    • DUFFIELD, N. G. AND O'CONNELL, N. (1995). Large deviations and overflow probabilities for the general single server queue, with applications. Math. Proc. Comb. Phil. Soc. 118, 363-374.
    • (1995) Math. Proc. Comb. Phil. Soc. , vol.118 , pp. 363-374
    • Duffield, N.G.1    O'Connell, N.2
  • 13
    • 0033210499 scopus 로고    scopus 로고
    • Extremes of a certain class of Gaussian processes
    • HÜSLER, J. AND PITERBARG, V. I. (1999). Extremes of a certain class of Gaussian processes. Stoch. Process. Appl. 83, 257-271.
    • (1999) Stoch. Process. Appl. , vol.83 , pp. 257-271
    • Hüsler, J.1    Piterbarg, V.I.2
  • 14
    • 21144472140 scopus 로고
    • Extreme values of the cyclostationary Gaussian random processes
    • KONSTANT, D. G. AND PITERBARG, V. (1993). Extreme values of the cyclostationary Gaussian random processes. J. Appl. Prob. 30, 82-97.
    • (1993) J. Appl. Prob. , vol.30 , pp. 82-97
    • Konstant, D.G.1    Piterbarg, V.2
  • 15
    • 84971178593 scopus 로고
    • Fluid model driven by an Omstein-Uhlenbeck process
    • KULKARNI, V. AND ROLSKI, T. (1994). Fluid model driven by an Omstein-Uhlenbeck process. Prob. Eng. Inf. Sci. 8, 403-417.
    • (1994) Prob. Eng. Inf. Sci. , vol.8 , pp. 403-417
    • Kulkarni, V.1    Rolski, T.2
  • 17
    • 0033238255 scopus 로고    scopus 로고
    • Cell loss asymptotics in buffers fed with a large number of independent stationary sources
    • LIKHANOV, N. AND MAZUMDAR, R. (1999). Cell loss asymptotics in buffers fed with a large number of independent stationary sources. J. Appl. Prob. 36, 86-96.
    • (1999) J. Appl. Prob. , vol.36 , pp. 86-96
    • Likhanov, N.1    Mazumdar, R.2
  • 18
    • 0034430736 scopus 로고    scopus 로고
    • Overflow behavior in queues with many long-tailed inputs
    • MANDJES, M. AND BORST, S. (2000). Overflow behavior in queues with many long-tailed inputs. Adv. Appl. Prob. 32, 1150-1167.
    • (2000) Adv. Appl. Prob. , vol.32 , pp. 1150-1167
    • Mandjes, M.1    Borst, S.2
  • 19
    • 0035534188 scopus 로고    scopus 로고
    • Large deviations for small buffers: An insensitivity result
    • MANDJES, M. AND KIM, J. H. (2001). Large deviations for small buffers: an insensitivity result. Queueing Systems 37, 349-362.
    • (2001) Queueing Systems , vol.37 , pp. 349-362
    • Mandjes, M.1    Kim, J.H.2
  • 20
    • 0033236712 scopus 로고    scopus 로고
    • Large buffer asymptotics for the queue with FBM input
    • MASSOULIÉ, L. AND SIMONIAN, A. (1999). Large buffer asymptotics for the queue with FBM input. J. Appl. Prob. 36, 894-906.
    • (1999) J. Appl. Prob. , vol.36 , pp. 894-906
    • Massoulié, L.1    Simonian, A.2
  • 21
    • 0002523391 scopus 로고    scopus 로고
    • Exact asymptotic queue length distribution for fractional Brownian traffic
    • NARAYAN, O. (1998). Exact asymptotic queue length distribution for fractional Brownian traffic. Adv. Perf. Anal. 1, 39-63.
    • (1998) Adv. Perf. Anal. , vol.1 , pp. 39-63
    • Narayan, O.1
  • 22
    • 21344482808 scopus 로고
    • A storage model with self-similar input
    • NORROS, I. (1994). A storage model with self-similar input. Queuing Systems 16, 387-396.
    • (1994) Queuing Systems , vol.16 , pp. 387-396
    • Norros, I.1
  • 24
    • 0242620774 scopus 로고
    • Asymptotics of the probability of large excursions for a nonstationary Gaussian process
    • PITERBARG, V. I. AND PRISYAZHNYUK, V. P. (1979). Asymptotics of the probability of large excursions for a nonstationary Gaussian process. Theory Prob. Math. Statist. 18, 131-144.
    • (1979) Theory Prob. Math. Statist. , vol.18 , pp. 131-144
    • Piterbarg, V.I.1    Prisyazhnyuk, V.P.2
  • 26
    • 0029359362 scopus 로고
    • Large deviations approximation for fluid queues fed by a large number of on/off sources
    • SIMONIAN, A. AND GUIBERT, J. (1995). Large deviations approximation for fluid queues fed by a large number of on/off sources. IEEE J. Selected Areas Commun. 13, 1017-1027.
    • (1995) IEEE J. Selected Areas Commun. , vol.13 , pp. 1017-1027
    • Simonian, A.1    Guibert, J.2
  • 27
    • 0026384284 scopus 로고
    • Transient and stationary distributions for fluid queue and input processes with density
    • SIMONIAN, A. AND VIRTAMO, J. (1991). Transient and stationary distributions for fluid queue and input processes with density. SIAM J. Appl. Math. 51, 1731-1739.
    • (1991) SIAM J. Appl. Math. , vol.51 , pp. 1731-1739
    • Simonian, A.1    Virtamo, J.2
  • 28
    • 0001698959 scopus 로고
    • A new technique of analyzing large traffic systems
    • WEISS, A. (1986). A new technique of analyzing large traffic systems. Adv. Appl. Prob. 18, 506-532.
    • (1986) Adv. Appl. Prob. , vol.18 , pp. 506-532
    • Weiss, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.