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Volumn 30, Issue 3, 1997, Pages 177-190

Long-tail buffer-content distributions in broadband networks

Author keywords

Asynchronous transfer mode; ATM; B ISDN; Broadband networks; Buffer content; Long tail distributions; Power tails; Regularly variation; Stochastic fluid models; Subexponential distributions; Tail probabilities

Indexed keywords

ASYNCHRONOUS TRANSFER MODE; MATHEMATICAL MODELS; PROBABILITY; RANDOM PROCESSES; VOICE/DATA COMMUNICATION SYSTEMS;

EID: 0031236199     PISSN: 01665316     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-5316(96)00059-4     Document Type: Article
Times cited : (38)

References (35)
  • 1
    • 0027659933 scopus 로고
    • Calculation of the GI/G/1 waiting time distribution and its cumulants from Pollaczek's formulas
    • J. Abate, G.L. Choudhury and W. Whitt, Calculation of the GI/G/1 waiting time distribution and its cumulants from Pollaczek's formulas, Archiv für Elektronik und Übertragungstechnik 47 (1993) 311-321.
    • (1993) Archiv für Elektronik und Übertragungstechnik , vol.47 , pp. 311-321
    • Abate, J.1    Choudhury, G.L.2    Whitt, W.3
  • 2
    • 21344494520 scopus 로고
    • Waiting-time tail probabilities in queues with long-tail service-time distributions
    • J. Abate, G.L. Choudhury and W. Whitt, Waiting-time tail probabilities in queues with long-tail service-time distributions, Queueing Systems 16 (1994) 311-338.
    • (1994) Queueing Systems , vol.16 , pp. 311-338
    • Abate, J.1    Choudhury, G.L.2    Whitt, W.3
  • 3
    • 0000290477 scopus 로고
    • Exponential approximations for tail probabilities in queues, I: Waiting times
    • J. Abate, G.L. Choudhury and W. Whitt, Exponential approximations for tail probabilities in queues, I: waiting times, Oper. Res. 43 (1995) 885-901.
    • (1995) Oper. Res. , vol.43 , pp. 885-901
    • Abate, J.1    Choudhury, G.L.2    Whitt, W.3
  • 4
    • 0030234409 scopus 로고    scopus 로고
    • Exponential approximations for tail probabilities in queues, II: Sojourn time and workload
    • J. Abate, G.L. Choudhury and W. Whitt, Exponential approximations for tail probabilities in queues, II: sojourn time and workload, Oper. Res. 44 (1996) 758-763.
    • (1996) Oper. Res. , vol.44 , pp. 758-763
    • Abate, J.1    Choudhury, G.L.2    Whitt, W.3
  • 5
    • 27544447048 scopus 로고
    • The Fourier-series method for inverting transforms of probability distributions
    • J. Abate and W. Whitt, The Fourier-series method for inverting transforms of probability distributions, Queueing Systems 10 (1992) 5-88.
    • (1992) Queueing Systems , vol.10 , pp. 5-88
    • Abate, J.1    Whitt, W.2
  • 6
    • 0002047384 scopus 로고    scopus 로고
    • An operational calculus for probability distributions via Laplace transforms
    • J. Abate and W. Whitt, An operational calculus for probability distributions via Laplace transforms, Adv. Appl. Probab. 28 (1996) 75-113.
    • (1996) Adv. Appl. Probab. , vol.28 , pp. 75-113
    • Abate, J.1    Whitt, W.2
  • 7
    • 0020191755 scopus 로고
    • Stochastic theory of a data-handling system with multiple sources
    • D. Anick, D. Mitra and M.M. Sondhi, Stochastic theory of a data-handling system with multiple sources, Bell System Tech. J. 61 (1982) 1871-1894.
    • (1982) Bell System Tech. J. , vol.61 , pp. 1871-1894
    • Anick, D.1    Mitra, D.2    Sondhi, M.M.3
  • 8
    • 0001979508 scopus 로고
    • Large claims approximations for risk processes in a Markovian environment
    • S. Asmussen, L.F. Henriksen and C. Klüppelberg, Large claims approximations for risk processes in a Markovian environment, Stochastics Process. Appl. 54 (1994) 29-43.
    • (1994) Stochastics Process. Appl. , vol.54 , pp. 29-43
    • Asmussen, S.1    Henriksen, L.F.2    Klüppelberg, C.3
  • 13
    • 0029357705 scopus 로고
    • Effective bandwidth in high-speed digital networks
    • C.-S. Chang and J.A. Thomas, Effective bandwidth in high-speed digital networks, IEEE J. SAC 13 (1995) 1091-1100.
    • (1995) IEEE J. SAC , vol.13 , pp. 1091-1100
    • Chang, C.-S.1    Thomas, J.A.2
  • 14
    • 0000433886 scopus 로고
    • Some results on regular variation for distributions in queueing and fluctuation theory
    • J.W. Cohen, Some results on regular variation for distributions in queueing and fluctuation theory, J. Appl. Probab. 10 (1973) 343-353.
    • (1973) J. Appl. Probab. , vol.10 , pp. 343-353
    • Cohen, J.W.1
  • 15
    • 0030519505 scopus 로고    scopus 로고
    • Economies of scale in queues with sources having power-law large deviations scalings
    • to appear
    • N.G. Duffield, Economies of scale in queues with sources having power-law large deviations scalings, J. Appl. Probab., to appear.
    • J. Appl. Probab.
    • Duffield, N.G.1
  • 16
    • 84971179977 scopus 로고
    • Large deviations and overflow probabilities for the general single-server queue, with applications
    • N.G. Duffield and N. O'Connell, Large deviations and overflow probabilities for the general single-server queue, with applications, Math. Proc. Cambridge Philos. Soc. 118 (1995) 363-374.
    • (1995) Math. Proc. Cambridge Philos. Soc. , vol.118 , pp. 363-374
    • Duffield, N.G.1    O'Connell, N.2
  • 18
    • 5844259717 scopus 로고
    • Application of fractals in engineering for realistic traffic processes
    • A. Erramilli, Application of fractals in engineering for realistic traffic processes, Proc. 14th Int. Teletraffic Congress, 1994, pp. 35-44.
    • (1994) Proc. 14th Int. Teletraffic Congress , pp. 35-44
    • Erramilli, A.1
  • 23
    • 0000002948 scopus 로고
    • A storage model with a two-state random environment
    • O. Kella and W. Whitt, A storage model with a two-state random environment, Oper. Res. 40 (1992) S257-S262.
    • (1992) Oper. Res. , vol.40
    • Kella, O.1    Whitt, W.2
  • 24
    • 0001001934 scopus 로고
    • Subexponential distributions and integrated tails
    • C. Klüppelberg, Subexponential distributions and integrated tails, J. Appl. Probab. 25 (1988) 132-141.
    • (1988) J. Appl. Probab. , vol.25 , pp. 132-141
    • Klüppelberg, C.1
  • 26
  • 27
    • 21344482808 scopus 로고
    • A storage model with self-similar input
    • I. Norros, A storage model with self-similar input, Queueing Systems 16 (1994) 387-396.
    • (1994) Queueing Systems , vol.16 , pp. 387-396
    • Norros, I.1
  • 28
    • 0016556936 scopus 로고
    • On the tails of waiting-time distributions
    • A.G. Pakes, On the tails of waiting-time distributions, J. Appl. Probab. 12 (1975) 555-564.
    • (1975) J. Appl. Probab. , vol.12 , pp. 555-564
    • Pakes, A.G.1
  • 29
    • 0029323403 scopus 로고
    • Wide area traffic: The failure of Poisson modelling
    • V. Paxson and S. Floyd, Wide area traffic: the failure of Poisson modelling, IEEE/ACM Trans. Networking 3 (1995) 226-244.
    • (1995) IEEE/ACM Trans. Networking , vol.3 , pp. 226-244
    • Paxson, V.1    Floyd, S.2
  • 32
    • 0029357488 scopus 로고
    • Resource management in wide-area ATM networks using effective bandwidths
    • G. deVeciana, G. Kesidis and J. Walrand, Resource management in wide-area ATM networks using effective bandwidths, IEEE J. SAC 13 (1995) 1081-1090.
    • (1995) IEEE J. SAC , vol.13 , pp. 1081-1090
    • Deveciana, G.1    Kesidis, G.2    Walrand, J.3
  • 33
    • 0001016987 scopus 로고
    • Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues
    • W. Whitt, Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues, Telecommun. Systems 2 (1993) 71-107.
    • (1993) Telecommun. Systems , vol.2 , pp. 71-107
    • Whitt, W.1
  • 34
    • 0008925692 scopus 로고
    • Traffic modeling of high-speed networks: Theory and practice
    • F.B. Kelly and R. Williams (Eds.), Springer-Verlag, New York
    • W. Willinger, Traffic modeling of high-speed networks: theory and practice, in: F.B. Kelly and R. Williams (Eds.), Stochastic Networks, Springer-Verlag, New York (1994).
    • (1994) Stochastic Networks
    • Willinger, W.1
  • 35
    • 84972521562 scopus 로고
    • Self-similarity in high-speed packet ,traffic: Analysis and modeling of Ethernet traffic measurements
    • W. Willinger, M.S. Taqqu, W.E. Leland and D.V. Wilson, Self-similarity in high-speed packet ,traffic: Analysis and modeling of Ethernet traffic measurements, Statist. Sci. 10 (1995) 67-85.
    • (1995) Statist. Sci. , vol.10 , pp. 67-85
    • Willinger, W.1    Taqqu, M.S.2    Leland, W.E.3    Wilson, D.V.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.