메뉴 건너뛰기




Volumn 8, Issue 4, 1998, Pages 1027-1069

On the large deviations behavior of acyclic networks of G/G/1 queues

Author keywords

Communication networks; Large deviations; Queueing networks

Indexed keywords


EID: 0032279063     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1028903373     Document Type: Article
Times cited : (38)

References (33)
  • 1
    • 0001051380 scopus 로고
    • How large delays build up in a GI/G/1 queue
    • ANANTHARAM, V. (1988). How large delays build up in a GI/G/1 queue. Queueing Systems 5 345-368.
    • (1988) Queueing Systems , vol.5 , pp. 345-368
  • 2
    • 0001392225 scopus 로고
    • Conditioned limit theorems relating a random walk to its associate, with applications to risk reserve processes and the GI/G/1 queue
    • ASMUSSEN, S. (1982). Conditioned limit theorems relating a random walk to its associate, with applications to risk reserve processes and the GI/G/1 queue. Adv. in Appl. Probab. 14 143-170.
    • (1982) Adv. in Appl. Probab. , vol.14 , pp. 143-170
    • Asmussen, S.1
  • 3
    • 0009079508 scopus 로고    scopus 로고
    • A unified method to analyze overtake free queueing systems
    • BERTSIMAS, D. and MOURTZINOU, G. (1996). A unified method to analyze overtake free queueing systems. Adv. in Appl. Probab. 28 586-625.
    • (1996) Adv. in Appl. Probab. , vol.28 , pp. 586-625
    • Bertsimas, D.1    Mourtzinou, G.2
  • 5
    • 0001854390 scopus 로고
    • The general distributional Little's law and its applications
    • BERTSIMAS, D. and NAKAZATO, D. (1995). The general distributional Little's law and its applications. Oper. Res. 43 298-310.
    • (1995) Oper. Res. , vol.43 , pp. 298-310
    • Bertsimas, D.1    Nakazato, D.2
  • 7
    • 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. Automat. Control 39 913-931.
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 913-931
    • Chang, C.S.1
  • 8
    • 21844523199 scopus 로고
    • Sample path large deviations and intree networks
    • CHANG, C. S. (1995). Sample path large deviations and intree networks. Queueing Systems 20 7-36.
    • (1995) Queueing Systems , vol.20 , pp. 7-36
    • Chang, C.S.1
  • 10
    • 0000848901 scopus 로고
    • Effective bandwidths of departure process from queues with time varying capacities
    • IEEE, New York
    • CHANG, C. S. and ZAJIC, T. (1995). Effective bandwidths of departure process from queues with time varying capacities. In Proceedings IEEE Infocom '95 3 1001-1009. IEEE, New York.
    • (1995) Proceedings IEEE Infocom '95 , vol.3 , pp. 1001-1009
    • Chang, C.S.1    Zajic, T.2
  • 12
    • 0026000660 scopus 로고
    • A calculus for network delay, I: Network elements in isolation
    • CRUZ, R. L. (1991). A calculus for network delay, I: network elements in isolation. IEEE Trans. Inform. Theory 37 114-131.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 114-131
    • Cruz, R.L.1
  • 13
    • 0025994959 scopus 로고
    • A calculus for network delay, II: Network analysis
    • CRUZ, R. L. (1991). A calculus for network delay, II: network analysis. IEEE Trans. Inform. Theory 37 132-141.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 132-141
    • Cruz, R.L.1
  • 14
    • 58149365339 scopus 로고
    • Large deviations: From empirical mean and measure to partial sums processes
    • DEMBO, A. and ZAJIC, T. (1995). Large deviations: from empirical mean and measure to partial sums processes. Stochastic Process Appl. 57 191-224.
    • (1995) Stochastic Process Appl. , vol.57 , pp. 191-224
    • Dembo, A.1    Zajic, T.2
  • 17
    • 0029754216 scopus 로고
    • Bandwidth allocation for multiple qualities of service using generalized processor sharing
    • DE VECIANA, G. and KESIDIS, G. (1995). Bandwidth allocation for multiple qualities of service using generalized processor sharing. IEEE Trans. Inform. Theory 42
    • (1995) IEEE Trans. Inform. Theory , vol.42
    • De Veciana, G.1    Kesidis, G.2
  • 20
    • 0027612182 scopus 로고
    • Effective bandwidth of general markovian traffic sources and admission control of high speed networks
    • ELWALID, A. I. and MITRA, D. (1993). Effective bandwidth of general Markovian traffic sources and admission control of high speed networks. IEEE/ACM Transactions on Networking 1 329-343.
    • (1993) IEEE/ACM Transactions on Networking , vol.1 , pp. 329-343
    • Elwalid, A.I.1    Mitra, D.2
  • 21
    • 0030490667 scopus 로고    scopus 로고
    • Stationary tail probabilities in exponential server tandems with renewal arrivals
    • GANES, H. A. and ANANTHARAM, V. (1996). Stationary tail probabilities in exponential server tandems with renewal arrivals. Queueing Systems Theory Appl. 22 203-248.
    • (1996) Queueing Systems Theory Appl. , vol.22 , pp. 203-248
    • Ganes, H.A.1    Anantharam, V.2
  • 22
    • 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
  • 23
    • 0141770796 scopus 로고
    • Logarithmic asymptotics for steady-state tail probabilities in a single-server queue
    • GLYNN, P. W. and WHITT, W. (1994). Logarithmic asymptotics for steady-state tail probabilities in a single-server queue. J. Appl. Probab. 31A 131-156.
    • (1994) J. Appl. Probab. , vol.31 A , pp. 131-156
    • Glynn, P.W.1    Whitt, W.2
  • 26
    • 18344394570 scopus 로고
    • Effective bandwidths at multi-class queues
    • KELLY, F. P. (1991). Effective bandwidths at multi-class queues. Queueing Systems 9 5-16.
    • (1991) Queueing Systems , vol.9 , pp. 5-16
    • Kelly, F.P.1
  • 27
    • 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 Transactions on Networking 1 424-428.
    • (1993) IEEE/ACM Transactions on Networking , vol.1 , pp. 424-428
    • Kesidis, G.1    Walrand, J.2    Chang, C.S.3
  • 28
    • 0000621432 scopus 로고
    • Inequalities in the theory of queues
    • KINGMAN, J. F. C. (1970). Inequalities in the theory of queues. J. Roy. Statist. Soc. 32 102-110.
    • (1970) J. Roy. Statist. Soc. , vol.32 , pp. 102-110
    • Kingman, J.F.C.1
  • 32
    • 0001016987 scopus 로고
    • Tail probability with statistical multiplexing and effective bandwidths in multi-class queues
    • WHITT, W. (1993). Tail probability with statistical multiplexing and effective bandwidths in multi-class queues. Telecommunication Systems 2 71-107.
    • (1993) Telecommunication Systems , vol.2 , pp. 71-107
    • Whitt, W.1
  • 33
    • 0027616817 scopus 로고
    • Performance and stability of communication networks via robust exponential bounds
    • YARON, O. and SIDI, M. (1993). Performance and stability of communication networks via robust exponential bounds. IEEE/ACM Transactions on Networking 1 372-385.
    • (1993) IEEE/ACM Transactions on Networking , vol.1 , pp. 372-385
    • Yaron, O.1    Sidi, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.