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Volumn 33, Issue 3, 1996, Pages 840-857

Economies of scale in queues with sources having power-law large deviation scalings

Author keywords

ATM multiplexers; Effective bandwidth approximation; Fractional brownian motion; Large deviations; Scaling limits

Indexed keywords


EID: 0030519505     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200100257     Document Type: Article
Times cited : (31)

References (24)
  • 1
    • 0001639899 scopus 로고
    • The Brunn-Minkowski inequality in Gauss space
    • BORELL, C. (1975) The Brunn-Minkowski inequality in Gauss space. Invent. Math. 30, 205-216.
    • (1975) Invent. Math. , vol.30 , pp. 205-216
    • Borell, C.1
  • 3
    • 34249761043 scopus 로고
    • Large deviations, the shape of the loss curve, and economies of scale in large multiplexers
    • BOTVICH, D. D. AND DUFFIELD, 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.D.1    Duffield, N.G.2
  • 4
    • 21844526858 scopus 로고
    • Exponential upper bounds via martingales for multiplexers with Markovian arrivals
    • BUFFET, E. AND DUFFIELD, N. G. (1994) Exponential upper bounds via martingales for multiplexers with Markovian arrivals. J. Appl. Prob. 31, 1049-1061.
    • (1994) J. Appl. Prob. , vol.31 , pp. 1049-1061
    • Buffet, E.1    Duffield, N.G.2
  • 5
    • 0028439012 scopus 로고
    • Stability, queue length and delay of deterministic and stochastic queueing networks
    • CHANG, C. S. (1994) Stability, queue length and delay of deterministic and stochastic queueing networks. IEEE Trans. Automatic Control. 39, 913-931.
    • (1994) IEEE Trans. Automatic Control , vol.39 , pp. 913-931
    • Chang, C.S.1
  • 7
    • 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
  • 9
    • 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
  • 11
    • 0001780638 scopus 로고
    • Effective bandwidths for the multi-type UAS channel
    • GIBBENS, R. J. AND HUNT, P. J. (1991) Effective bandwidths for the multi-type UAS channel. Queueing Systems 9, 17-28.
    • (1991) Queueing Systems , vol.9 , pp. 17-28
    • Gibbens, R.J.1    Hunt, P.J.2
  • 12
    • 0141770796 scopus 로고
    • Logarithmic asymptotics for steady-state tail probabilities in a single-server queue
    • GLYNN, P. W. AND WHITT, W. (.1993) Logarithmic asymptotics for steady-state tail probabilities in a single-server queue. J. Appl. Prob. 31A, 131-159.
    • (1993) J. Appl. Prob. , vol.31 A , pp. 131-159
    • Glynn, P.W.1    Whitt, W.2
  • 13
    • 0024123889 scopus 로고
    • Resource allocation for broadband networks
    • HUI, J. Y. (1988) Resource allocation for broadband networks. IEEE J. Selected Areas in Commun. 6, 1598-1608.
    • (1988) IEEE J. Selected Areas in Commun. , vol.6 , pp. 1598-1608
    • Hui, J.Y.1
  • 14
    • 18344394570 scopus 로고
    • Effective bandwidths at multi-type queues
    • KELLY, F. P. (1991) Effective bandwidths at multi-type queues. Queueing Systems 9, 5-16.
    • (1991) Queueing Systems , vol.9 , pp. 5-16
    • Kelly, F.P.1
  • 15
    • 0027644212 scopus 로고
    • Effective bandwidths for multiclass Markov fluids and other ATM sources
    • KESIDIS, G., WALRAND, J. AND CHANG, C. S. (1993) Effective bandwidths for multiclass Markov fluids and other ATM sources. IEEE/ACM Trans. Networking 1, 424-428.
    • (1993) IEEE/ACM Trans. Networking , vol.1 , pp. 424-428
    • Kesidis, G.1    Walrand, J.2    Chang, C.S.3
  • 17
    • 77956139567 scopus 로고
    • Thermodynamic probability theory: Some aspects of large deviations
    • LEWIS, J. T. AND PFISTER, C.-E. (1995) Thermodynamic probability theory: some aspects of large deviations. Russian Math. Surveys 50, 279-317.
    • (1995) Russian Math. Surveys , vol.50 , pp. 279-317
    • Lewis, J.T.1    Pfister, C.-E.2
  • 18
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • MANDELBROT, B. AND VAN NESS, J. W. (1968) Fractional Brownian motions, fractional noises and applications. SIAM Rev. 10, 422-437.
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.1    Van Ness, J.W.2
  • 19
    • 21344482808 scopus 로고
    • A storage model with self-similar input
    • NORROS, I. (1994) A storage model with self-similar input. Queueing Systems 16, 387-396.
    • (1994) Queueing Systems , vol.16 , pp. 387-396
    • Norros, I.1
  • 20
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton
    • ROCKAFELLAR, R. T. (1970) Convex Analysis. Princeton University Press, Princeton.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 21
    • 0002650549 scopus 로고
    • Linear models with long-range dependence and with finite or infinite variance
    • New Directions in Time-Series Analysis, part II. Springer, New York
    • SAMORODNITSKY, G. AND TAQQU, M. S. (1993) Linear models with long-range dependence and with finite or infinite variance. In New Directions in Time-Series Analysis, part II. (IMA Vol. Math. Appl. 46, 325-340.) Springer, New York.
    • (1993) IMA Vol. Math. Appl. , vol.46 , pp. 325-340
    • Samorodnitsky, G.1    Taqqu, M.S.2
  • 22
    • 0001289745 scopus 로고
    • Large deviations approximation for fluid queues fed by a large number of on-off sources
    • SIMONIAN, A. AND GUIBERT, J. (1994) Large deviations approximation for fluid queues fed by a large number of on-off sources. Proc. ITC 14, Antibes, 1994, pp. 1013-1022.
    • (1994) Proc. ITC 14, Antibes, 1994 , pp. 1013-1022
    • Simonian, A.1    Guibert, J.2
  • 23
    • 0001698959 scopus 로고
    • A new technique for analysing large traffic systems
    • WEISS, A. (1986) A new technique for analysing large traffic systems. J. Appl. Prob. 18, 506-532.
    • (1986) J. Appl. Prob. , vol.18 , pp. 506-532
    • Weiss, A.1
  • 24
    • 0001016987 scopus 로고
    • Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues
    • WHITT, W. (1993) Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues. Telecommun. Syst. 2, 71-107.
    • (1993) Telecommun. Syst. , vol.2 , pp. 71-107
    • Whitt, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.