메뉴 건너뛰기




Volumn 36, Issue 1, 1999, Pages 105-118

Asymptotic behavior of a multiplexer fed by a long-range dependent process

Author keywords

Asymptotic self similar process; Large deviations; Long range dependence; Pareto distribution; Queues; Subexponential distributions

Indexed keywords


EID: 0033238269     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200016880     Document Type: Article
Times cited : (31)

References (33)
  • 1
    • 0029515111 scopus 로고
    • On the sojourn time of sessions at an ATM buffer with long-range dependent input traffic
    • IEEE Control Systems Society, New York
    • ANANTHARAM, V. (1995). On the sojourn time of sessions at an ATM buffer with long-range dependent input traffic. In Proc. 34th IEEE Conf. Decision & Control, Vol. 1. IEEE Control Systems Society, New York, pp. 859-864.
    • (1995) Proc. 34th IEEE Conf. Decision & Control , vol.1 , pp. 859-864
    • Anantharam, V.1
  • 5
    • 0030258286 scopus 로고    scopus 로고
    • Fluid queues and regular variation
    • BOXMA, O. J. (1996). Fluid queues and regular variation. Performance Evaluation 27/28, 699-712.
    • (1996) Performance Evaluation , vol.27-28 , pp. 699-712
    • Boxma, O.J.1
  • 6
    • 0032205736 scopus 로고    scopus 로고
    • Fluid queues with long-tailed activity period distributions
    • BOXMA, O. J. AND DUMAS, V. (1998). Fluid queues with long-tailed activity period distributions. Computer Communications 21, 1509-1529.
    • (1998) Computer Communications , vol.21 , pp. 1509-1529
    • Boxma, O.J.1    Dumas, V.2
  • 7
    • 0038971804 scopus 로고    scopus 로고
    • Heavy traffic analysis of a storage model with long range dependent on/off sources
    • BRICHET, F., ROBERTS, J. W., SIMONIAN, A. AND VEITCH, D. (1996). Heavy traffic analysis of a storage model with long range dependent on/off sources. QUESTA 23, 197-216.
    • (1996) QUESTA , vol.23 , pp. 197-216
    • Brichet, F.1    Roberts, J.W.2    Simonian, A.3    Veitch, D.4
  • 8
    • 0000708942 scopus 로고
    • A theorem on sums of independent positive random variables and its application to branching random processes
    • CHISTAKOV, V. P. (1964). A theorem on sums of independent positive random variables and its application to branching random processes. Theory Prob. Appl. 9, 640-648.
    • (1964) Theory Prob. Appl. , vol.9 , pp. 640-648
    • Chistakov, V.P.1
  • 9
    • 0031236199 scopus 로고    scopus 로고
    • Long-tail buffer-content distributions in broadband networks
    • CHOUDHURY, G. L. AND WHITT, W. (1997). Long-tail buffer-content distributions in broadband networks. Performance Evaluation 30, 177-190.
    • (1997) Performance Evaluation , vol.30 , pp. 177-190
    • Choudhury, G.L.1    Whitt, W.2
  • 10
    • 0001459863 scopus 로고
    • Convolution tails, product tails and domains of attraction
    • CLINE, D. B. H. (1986). Convolution tails, product tails and domains of attraction. Prob. Theory Rel. Fields, 72, 529-557.
    • (1986) Prob. Theory Rel. Fields , vol.72 , pp. 529-557
    • Cline, D.B.H.1
  • 13
    • 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. Cam. Phil. Soc. 118, 363-374.
    • (1995) Math. Proc. Cam. Phil. Soc. , vol.118 , pp. 363-374
    • Duffield, N.G.1    O'Connell, N.2
  • 14
    • 0001825357 scopus 로고
    • A property of longtailed distributions
    • EMBRECHTS, P. AND OMEY, E. (1984). A property of longtailed distributions. J. Appl. Prob. 21, 80-87.
    • (1984) J. Appl. Prob. , vol.21 , pp. 80-87
    • Embrechts, P.1    Omey, E.2
  • 16
    • 85029864069 scopus 로고
    • Analysis, modeling and generation of self-similar VBR video traffic
    • (Computer Communication Review 24). ACM Press, New York
    • GARRETT, M. AND WILLINGER, W. (1994). Analysis, modeling and generation of self-similar VBR video traffic. In Proc. SIGCOMM '94. Communications, architectures, protocols and applications (Computer Communication Review 24). ACM Press, New York, pp. 269-280.
    • (1994) Proc. SIGCOMM '94. Communications, Architectures, Protocols and Applications , pp. 269-280
    • Garrett, M.1    Willinger, W.2
  • 17
    • 0001302930 scopus 로고
    • Subexponential distributions and dominated-variation tails
    • GOLDIE, C. M. (1978). Subexponential distributions and dominated-variation tails. J. Appl. Prob. 15, 440-442.
    • (1978) J. Appl. Prob. , vol.15 , pp. 440-442
    • Goldie, C.M.1
  • 18
    • 0031260682 scopus 로고    scopus 로고
    • Patterns of buffer overflow in a class of queues with long memory in the input stream
    • HEATH, D., RESNICK, S. AND SAMORODNITSKY, G. (1997). Patterns of buffer overflow in a class of queues with long memory in the input stream. Ann. Appl. Prob, 7, 1021-1057.
    • (1997) Ann. Appl. Prob , vol.7 , pp. 1021-1057
    • Heath, D.1    Resnick, S.2    Samorodnitsky, G.3
  • 19
    • 0033140686 scopus 로고    scopus 로고
    • Asymptotic results for multiplexing subexponential on-off sources
    • To appear
    • JELENKOVIC, P. R. AND LAZAR, A. A. (1999). Asymptotic results for multiplexing subexponential on-off sources. To appear in Adv. Appl. Prob. 31.
    • (1999) Adv. Appl. Prob. , vol.31
    • Jelenkovic, P.R.1    Lazar, A.A.2
  • 22
    • 61849092689 scopus 로고
    • Analysis of an ATM buffer with self-similar (fractal) input traffic
    • IEEE Computer Society, New York
    • LIKHANOV, N., TSYBAKOV, B. AND GEORGANAS, N. D. (1995). Analysis of an ATM buffer with self-similar (fractal) input traffic. In Proc. INFOCOM '95. IEEE Computer Society, New York, pp. 985-992.
    • (1995) Proc. INFOCOM '95 , pp. 985-992
    • Likhanov, N.1    Tsybakov, B.2    Georganas, N.D.3
  • 23
    • 0003569358 scopus 로고    scopus 로고
    • Asymptotic behavior of a multiplexer fed by a long-range dependent process
    • LIU, Z., NAIN, P., TOWSLEY, D. AND ZHANG, Z.-L. (1997). Asymptotic behavior of a multiplexer fed by a long-range dependent process. INRIA report No. 3230.
    • (1997) INRIA Report No. 3230
    • Liu, Z.1    Nain, P.2    Towsley, D.3    Zhang, Z.-L.4
  • 25
    • 21344482808 scopus 로고
    • A storage model with self-similar input
    • NORROS, I. (1994). A storage model with self-similar input. QUESTA 16, 387-396.
    • (1994) QUESTA , vol.16 , pp. 387-396
    • Norros, I.1
  • 26
    • 0016556936 scopus 로고
    • On the tails of waiting time distributions
    • PAKES, A. G. (1975). On the tails of waiting time distributions. J. Appl. Prob. 12, 555-564.
    • (1975) J. Appl. Prob. , vol.12 , pp. 555-564
    • Pakes, A.G.1
  • 27
    • 0029735967 scopus 로고    scopus 로고
    • Tail probabilities for a multiplexer with self-similar traffic
    • IEEE Computer Society, New York
    • PARULEKAR, M. AND MAKOWSKI, A. M. (1996). Tail probabilities for a multiplexer with self-similar traffic. In Proc. INFOCOM'96. IEEE Computer Society, New York, pp. 1452-1459.
    • (1996) Proc. INFOCOM'96 , pp. 1452-1459
    • Parulekar, M.1    Makowski, A.M.2
  • 28
    • 0001510899 scopus 로고    scopus 로고
    • Ail probabilities for M/G/∞ input processes (I): Preliminary asymptotics
    • PARULEKAR, M. AND MAKOWSKI, A. M. (1997). ail probabilities for M/G/∞ input processes (I): Preliminary asymptotics. QUESTA, 27, 271-296.
    • (1997) QUESTA , vol.27 , pp. 271-296
    • Parulekar, M.1    Makowski, A.M.2
  • 29
    • 0031336241 scopus 로고    scopus 로고
    • M/G/∞ input processes: A versatile class of models for network traffic
    • IEEE Computer Society, New York
    • PARULEKAR, M. AND MAKOWSKI, A. M. (1997). M/G/∞ input processes: A versatile class of models for network traffic. In Proc. INFOCOM'97 IEEE Computer Society, New York.
    • (1997) Proc. INFOCOM'97
    • Parulekar, M.1    Makowski, A.M.2
  • 30
    • 0029323403 scopus 로고
    • Wide area traffic: The failure of Poisson modeling
    • PAXSON, V. AND FLOYD, S. (1993). Wide area traffic: The failure of Poisson modeling. IEEE/ACM Trans. on Networking 3, 226-244.
    • (1993) IEEE/ACM Trans. on Networking , vol.3 , pp. 226-244
    • Paxson, V.1    Floyd, S.2
  • 31
    • 0032593260 scopus 로고    scopus 로고
    • Asymptotics of Palm-stationary buffer content distributions in fluid flow queues
    • ROLSKI, T., SCHELGEL, S. AND SCHMIDT, V. (1996). Asymptotics of Palm-stationary buffer content distributions in fluid flow queues. Adv. Appl. Prob. 31, 235-253.
    • (1996) Adv. Appl. Prob. , vol.31 , pp. 235-253
    • Rolski, T.1    Schelgel, S.2    Schmidt, V.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.