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Volumn 36, Issue 3, 1999, Pages 894-906

Large buffer asymptotics for the queue with fractional Brownian input

Author keywords

Asymptotics; Fluid queue; Fractional Brownian input; Supremum of Gaussian processes

Indexed keywords


EID: 85037918615     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1032374642     Document Type: Article
Times cited : (1)

References (11)
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    • (1987) Ann. Prob. , vol.15 , pp. 1339-1351
    • Adler, R.J.1    Samorodnitsky, G.2
  • 3
    • 0009277981 scopus 로고
    • The maximum of a Gaussian process with non-constant variance: A sharp bound for the distribution tail
    • BERMAN, S. M. and KONO, N. (1989). The maximum of a Gaussian process with non-constant variance: a sharp bound for the distribution tail. Ann. Prob. 17, 632-650.
    • (1989) Ann. Prob. , vol.17 , pp. 632-650
    • Berman, S.M.1    Kono, N.2
  • 4
    • 0038971804 scopus 로고    scopus 로고
    • Heavy traffic analysis of a storage model with long range dependent on/off sources
    • BRICHET, F., ROBERTS, J., Simonian, A. and Veitch, D. (1997). Heavy traffic analysis of a storage model with long range dependent on/off sources. Queueing Systems 23, 197-215.
    • (1997) Queueing Systems , vol.23 , pp. 197-215
    • Brichet, F.1    Roberts, J.2    Simonian, A.3    Veitch, D.4
  • 5
    • 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. Proc. Camb. Phil. Soc. 118, 363-374.
    • (1995) Proc. Camb. Phil. Soc. , vol.118 , pp. 363-374
    • Duffield, N.G.1    O’connell, N.2
  • 7
    • 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. Performance Anal. 1, 39-64.
    • (1998) Adv. Performance Anal. , vol.1 , pp. 39-64
    • Narayan, O.1
  • 8
    • 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
  • 9
    • 0029358766 scopus 로고
    • On the use of fractional Brownian motion
    • NORROS, I. (1995). On the use of fractional Brownian motion. IEEE Sel. Areas Comm. 13, 953-962.
    • (1995) IEEE Sel. Areas Comm. , vol.13 , pp. 953-962
    • Norros, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.