메뉴 건너뛰기




Volumn 31, Issue 1, 1999, Pages 235-253

Asymptotics of palm-stationary buffer content distributions in fluid flow queues

Author keywords

Aggregating; On off fluid flow; Random walk; Regular variation; Subexponential distribution; Tail asymptotics

Indexed keywords


EID: 0032593260     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1029954275     Document Type: Article
Times cited : (21)

References (22)
  • 1
    • 0029515111 scopus 로고
    • On the sojourn time of sessions at an ATM buffer with longe-range dependent input traffic
    • IEEE Control Systems Society, NewYork
    • Anantharam, V. (1995). On the sojourn time of sessions at an ATM buffer with longe-range dependent input traffic. In Proc. 34th IEEE CDC, Vol 1. IEEE Control Systems Society, NewYork, pp. 859-864.
    • (1995) Proc. 34Th IEEE CDC , vol.1 , pp. 859-864
    • Anantharam, V.1
  • 4
    • 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 , Issue.28 , pp. 699-712
    • Boxma, O.J.1
  • 5
    • 0002182513 scopus 로고    scopus 로고
    • Regular variation in a multi-source fluid queue
    • V. Ramaswami and P. E. Wirth. Elsevier, Amsterdam
    • Boxma, O. J. (1997). Regular variation in a multi-source fluid queue. In Teletraffic Contributions for the Information Age (Proc. ITC 15), ed. V. Ramaswami and P. E. Wirth. Elsevier, Amsterdam, pp. 391-402.
    • (1997) Teletraffic Contributions for the Information Age(Proc. ITC 15) , pp. 391-402
    • Boxma, O.J.1
  • 6
    • 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
  • 7
    • 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
  • 8
    • 84963044008 scopus 로고
    • Intermediate regular and U variation
    • Cline, D. B. H. (1994). Intermediate regular and U variation. Proc. London Math. Soc. 68, 594-616.
    • (1994) Proc. London Math. Soc. , vol.68 , pp. 594-616
    • Cline, D.B.H.1
  • 9
    • 0003440755 scopus 로고
    • On Regenerative Processes in Queueing Theory
    • Springer, Berlin
    • Cohen, J. W. (1976). On Regenerative Processes in Queueing Theory. Lecture Notes in Econ. Math. Syst. 121, Springer, Berlin.
    • (1976) Lecture Notes in Econ. Math. Syst , pp. 121
    • Cohen, J.W.1
  • 13
    • 0002944036 scopus 로고
    • Estimates for the probability of ruin with special emphasis on the possibility of large claims
    • Embrechts, P. and 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
    • Embrechts, P.1    Veraverbeke, N.2
  • 14
    • 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. (1996a). Heavy tails and long range dependence in on/off processes and associated fluid models. Math. Operat. Res. 23, 145-165.
    • (1996) Math. Operat. Res. , vol.23 , pp. 145-165
    • Heath, D.1    Resnick, S.2    Samorodnitsky, G.3
  • 15
    • 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. (1996b). Patterns of buffer overflow in a class of queues with long memory in the input stream. Ann. Appl. Prob. 4, 1021-1057.
    • (1996) Ann. Appl. Prob. , vol.4 , pp. 1021-1057
    • Heath, D.1    Resnick, S.2    Samorodnitsky, G.3
  • 16
  • 18
    • 0002295049 scopus 로고    scopus 로고
    • Asymptotic results for multiplexing subexponential on-off sources
    • Columbia University, NewYork
    • Jelenkovic, P. R. and Lazar, A. A. (1996). Asymptotic results for multiplexing subexponential on-off sources. Technical Report 457-96-23. Columbia University, NewYork.
    • (1996) Technical Report 457-96-23
    • Jelenkovic, P.R.1    Lazar, A.A.2
  • 19
    • 0016556936 scopus 로고
    • On the tails of waiting-time distribution
    • Pakes, A. G. (1975). On the tails of waiting-time distribution. J. Appl. Prob. 12, 555-564.
    • (1975) J. Appl. Prob. , vol.12 , pp. 555-564
    • Pakes, A.G.1
  • 20
    • 0002432609 scopus 로고    scopus 로고
    • A note on martingale inequalities for fluid models
    • Palmowski, Z. and Rolski, T. (1996). A note on martingale inequalities for fluid models. Statist. Prob. Lett. 31, 13-21.
    • (1996) Statist. Prob. Lett. , vol.31 , pp. 13-21
    • Palmowski, Z.1    Rolski, T.2
  • 21
    • 84971761815 scopus 로고
    • Subexponential distribution functions
    • Pitman, E. J. G. (1980). Subexponential distribution functions. J. Austral. Math. Soc. (A) 29, 337-347.
    • (1980) J. Austral. Math. Soc.(A) , vol.29 , pp. 337-347
    • Pitman, E.J.G.1
  • 22
    • 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. Systems 2, 71-107.
    • (1993) Telecommun. Systems , vol.2 , pp. 71-107
    • Whitt, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.