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Volumn 7, Issue 2, 2001, Pages 191-210

Steady-state distribution of the buffer content for M/G/∞ input fluid queues

Author keywords

Fluid queue; Heavy tails; Large deviations; Long range dependence; M g oo queue; Performance of a queue; Random walk; Steady state distribution

Indexed keywords


EID: 0042750640     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.2307/3318735     Document Type: Article
Times cited : (16)

References (32)
  • 1
    • 0033236508 scopus 로고    scopus 로고
    • On a reduced load equivalence for fluid queues under subexponentiality
    • Agrawal, R., Makowski, A. and Nain, P. (1999) On a reduced load equivalence for fluid queues under subexponentiality. Queiieing Systems Theory Appl., 33, 5-41.
    • (1999) Queiieing Systems Theory Appl. , vol.33 , pp. 5-41
    • Agrawal, R.1    Makowski, A.2    Nain, P.3
  • 4
    • 0029253909 scopus 로고
    • Long-range dependence in variable-bit-rate video traffic
    • Beran, J., Sherman, R., Willinger, W. and Taqqu, M. (1995) Long-range dependence in variable-bit-rate video traffic. IEEE Trans. Commun., 43, 1566-1579.
    • (1995) IEEE Trans. Commun. , vol.43 , pp. 1566-1579
    • Beran, J.1    Sherman, R.2    Willinger, W.3    Taqqu, M.4
  • 6
    • 0032205736 scopus 로고    scopus 로고
    • Fluid queues with long-tailed activity period distributions
    • Boxma, O. and Dumas, V. (1998) Fluid queues with long-tailed activity period distributions. Comput. Commun., 21, 1509-1529.
    • (1998) Comput. Commun. , vol.21 , pp. 1509-1529
    • Boxma, O.1    Dumas, V.2
  • 7
    • 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. Perform. Eval., 30, 177-190.
    • (1997) Perform. Eval. , vol.30 , pp. 177-190
    • Choudhury, G.L.1    Whitt, W.2
  • 8
    • 0002079241 scopus 로고
    • Large deviation probabilities for sums and maxima of random variables with heavy or subexponential tails
    • Cline, D. and Hsing, T. (1991) Large deviation probabilities for sums and maxima of random variables with heavy or subexponential tails. Preprint, Texas A&M University.
    • (1991) Preprint, Texas A&M University.
    • Cline, D.1    Hsing, T.2
  • 9
    • 33749848397 scopus 로고    scopus 로고
    • The A//G/1 fluid model with heavy-tailed message length distributions
    • Cohen J. (1997) The A//G/1 fluid model with heavy-tailed message length distributions. Technical Report PNA-R9714, Centrum voor Wiskunde en Informatica.
    • (1997) Technical Report PNA-R , vol.9714
    • Cohen, J.1
  • 10
    • 0030149554 scopus 로고    scopus 로고
    • Self-similarity in World Wide Web traffic: Evidence and possible causes
    • Crovella, M. and Bestavros, A. (1996) Self-similarity in World Wide Web traffic: evidence and possible causes. Perform. Eval. Rev., 24, 160-169.
    • (1996) Perform. Eval. Rev. , vol.24 , pp. 160-169
    • Crovella, M.1    Bestavros, A.2
  • 12
    • 0002944036 scopus 로고
    • Estimates for the probability of ruin with special emphasis on the possibility of large claims
    • Embrechts, P. Veraverbeke, N. (1982) Estimates for the probability of ruin with special emphasis on the possibility of large claims. Insurance Math. Econom., 1, 55-72.
    • (1982) Insurance Math. Econom. , vol.1 , pp. 55-72
    • Embrechts1    Veraverbeke, P.2
  • 14
    • 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. Probab., 7, 1021 -1057.
    • (1997) Ann. Appl. Probab. , vol.7 , pp. 1021-1057
    • Heath, D.1    Resnick, S.2    Samorodnitsky, G.3
  • 15
    • 0031996403 scopus 로고    scopus 로고
    • Heavy tails and long range dependence in on/off processes and associated fluid models
    • Heath, D., Resnick, S. and Samorodnitsky, G. (1998) Heavy tails and long range dependence in on/off processes and associated fluid models. Math. Oper. Res., 23, 145-165.
    • (1998) Math. Oper. Res. , vol.23 , pp. 145-165
    • Heath, D.1    Resnick, S.2    Samorodnitsky, G.3
  • 16
    • 0033469273 scopus 로고    scopus 로고
    • How system performance is affected by the interplay of averages in a fluid queue with long range dependence induced by heavy tails
    • Heath, D., Resnick, S. and Samorodnitsky, G. (1999) How system performance is affected by the interplay of averages in a fluid queue with long range dependence induced by heavy tails. Ann. Appl. Probab., 9, 352-375.
    • (1999) Ann. Appl. Probab. , vol.9 , pp. 352-375
    • Heath, D.1    Resnick, S.2    Samorodnitsky, G.3
  • 17
    • 0033140686 scopus 로고    scopus 로고
    • Asymptotic results for multiplexing subexponential on-off sources
    • Jelenkovic, P. and Lazar, A. (1999) Asymptotic results for multiplexing subexponential on-off sources. Adv. Appl. Probab., 31, 394-421.
    • (1999) Adv. Appl. Probab. , vol.31 , pp. 394-421
    • Jelenkovic, P.1    Lazar, A.2
  • 18
    • 0028377540 scopus 로고
    • On the self-similar nature of Ethernet traffic (extended version)
    • Leland, W, Taqqu, M., Willinger, W. and Wilson, D. (1994) On the self-similar nature of Ethernet traffic (extended version). IEEE/ACM Trans. Netnvrking, 2, 1-15.
    • (1994) IEEE/ACM Trans. Netnvrking , vol.2 , pp. 1-15
    • Willinger, W.1    Wilson, D.2
  • 19
    • 0033238255 scopus 로고    scopus 로고
    • Cell loss asymptotics for buffers fed with a large number of independent stationary sources
    • Likhanov, N. and Mazumdar, R. (1999) Cell loss asymptotics for buffers fed with a large number of independent stationary sources. J. Appl. Probab., 36, 86-96.
    • (1999) J. Appl. Probab. , vol.36 , pp. 86-96
    • Likhanov, N.1    Mazumdar, R.2
  • 20
    • 0033238269 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. (1999) Asymptotic behavior of a multiplexer fed by a long-range dependent process. J. Appl. Probab., 36, 105-118.
    • (1999) J. Appl. Probab. , vol.36 , pp. 105-118
    • Liu, Z.1    Nain, P.2    Towsley, D.3    Zhang, Z.-L.4
  • 21
    • 33749867726 scopus 로고    scopus 로고
    • Ruin probability with claims modeled by a stationary ergodic stable process
    • Mikosch, T. and Samorodnitsky, G. (1999) Ruin probability with claims modeled by a stationary ergodic stable process. Preprint, Cornell University.
    • (1999) Preprint, Cornell University.
    • Mikosch, T.1    Samorodnitsky, G.2
  • 22
    • 0034346729 scopus 로고    scopus 로고
    • The supremum of a negative drift random walk with dependent heavy-tailed steps
    • Mikosch, T. and Samorodnitsky, G. (2000) The supremum of a negative drift random walk with dependent heavy-tailed steps. Ann. Appl. Probab., 10, 1025-1064.
    • (2000) Ann. Appl. Probab. , vol.10 , pp. 1025-1064
    • Mikosch, T.1    Samorodnitsky, G.2
  • 23
    • 0002470053 scopus 로고
    • Limit theorems for large deviations where Cramér's conditions are violated
    • Nagaev, A. (1969) Limit theorems for large deviations where Cramér's conditions are violated. Izv. Akad. Nauk UzSSR Ser. Fiz.-Mat. Natik, 6, 17-22 (in Russian).
    • (1969) Izv. Akad. Nauk UzSSR Ser. Fiz.-Mat. Natik , vol.6 , pp. 17-22
    • Nagaev, A.1
  • 24
    • 0029323403 scopus 로고
    • Wide area traffic: The failure of Poisson modelling
    • Paxson, V. and Floyd, S. (1994) Wide area traffic: the failure of Poisson modelling. IEEE/ACM Trans. Nehvorking, 3, 226-244.
    • (1994) IEEE/ACM Trans. Nehvorking , vol.3 , pp. 226-244
    • Paxson, V.1    Floyd, S.2
  • 25
    • 33749838161 scopus 로고    scopus 로고
    • Stochastic Storage Processes: Queues, Insurance Risk, Dams, and Data Communication
    • Prabhu, N. (1998) Stochastic Storage Processes: Queues, Insurance Risk, Dams, and Data Communication. New York: Springer-Verlag.
    • (1998) New York: Springer-Verlag.
    • Prabhu, N.1
  • 26
    • 0011631812 scopus 로고
    • Extreme Values, Regular Variation and Point Processes
    • Resnick, S. (1987) Extreme Values, Regular Variation and Point Processes. New York: Springer-Verlag.
    • (1987) New York: Springer-Verlag.
    • Resnick, S.1
  • 27
    • 0034346706 scopus 로고    scopus 로고
    • Self-similar communication models and very heavy tails
    • Resnick, S. and Rootzén, H. (2000) Self-similar communication models and very heavy tails. Ann. Appl. Probab., 10, 753-778.
    • (2000) Ann. Appl. Probab. , vol.10 , pp. 753-778
    • Resnick, S.1    Rootzén, H.2
  • 28
    • 0033236509 scopus 로고    scopus 로고
    • Activity periods of an infinitte server queue and performance of certain heavy tailed fluid queues
    • Resnick, S. and Samorodnitsky, G. (1999) Activity periods of an infinitte server queue and performance of certain heavy tailed fluid queues. Queueing Systems Theory Appl, 33, 43-71.
    • (1999) Queueing Systems Theory Appl , vol.33 , pp. 43-71
    • Resnick, S.1    Samorodnitsky, G.2
  • 30
    • 0032370261 scopus 로고    scopus 로고
    • On the departure process of a leaky bucket system with long-range dependent input traffic
    • Vamvakos, S. and Anantharam, V (1998) On the departure process of a leaky bucket system with long-range dependent input traffic. Queueing Systems Tlieory Appl., 28, 191-214.
    • (1998) Queueing Systems Tlieory Appl. , vol.28 , pp. 191-214
    • Vamvakos, S.1    Anantharam, V.2
  • 32
    • 0000736732 scopus 로고    scopus 로고
    • A fluid queue with a finite buffer and subexponential input
    • Zwart, A. (2000) A fluid queue with a finite buffer and subexponential input. Adv. Appl. Probab., 32, 221-243.
    • (2000) Adv. Appl. Probab. , vol.32 , pp. 221-243
    • Zwart, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.