메뉴 건너뛰기




Volumn 28, Issue 1-3, 1998, Pages 125-155

Heavy traffic approximations of large deviations of feedforward queueing networks

Author keywords

Heavy traffic convergence; Large deviations; Multi class queueing networks

Indexed keywords

BROWNIAN MOVEMENT; PROBABILITY DISTRIBUTIONS; QUEUEING NETWORKS; QUEUEING THEORY; VECTOR SPACES;

EID: 0032377306     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/a:1019147006084     Document Type: Article
Times cited : (13)

References (17)
  • 3
    • 21844523199 scopus 로고
    • Sample path large deviations and intree networks
    • C.-S. Chang, Sample path large deviations and intree networks, Queueing Systems 20 (1995) 7-36.
    • (1995) Queueing Systems , vol.20 , pp. 7-36
    • Chang, C.-S.1
  • 6
    • 0001985427 scopus 로고
    • On lipschitz continuity of the solution mapping to the skorokhod problem, with applications
    • P. Dupuis and H. Ishii, On Lipschitz continuity of the solution mapping to the Skorokhod problem, with applications, Stochastics and Stochastic Reports 35 (1991) 31-62.
    • (1991) Stochastics and Stochastic Reports , vol.35 , pp. 31-62
    • Dupuis, P.1    Ishii, H.2
  • 7
    • 0141770796 scopus 로고
    • Logarithmic asymptotics of steady-state tail probabilities in a single-server queue
    • P.W. Glynn and W. Whitt, Logarithmic asymptotics of steady-state tail probabilities in a single-server queue, J. Appl. Probab. 31A (1994) 131-156.
    • (1994) J. Appl. Probab. , vol.31 A , pp. 131-156
    • Glynn, P.W.1    Whitt, W.2
  • 8
    • 0000427740 scopus 로고
    • The diffusion approximation for tandem queues in heavy traffic
    • J.M. Harrison, The diffusion approximation for tandem queues in heavy traffic, Adv. in Appl. Probab. 10 (1978) 886-905.
    • (1978) Adv. in Appl. Probab. , vol.10 , pp. 886-905
    • Harrison, J.M.1
  • 9
    • 21144478130 scopus 로고
    • Brownian models of multiclass queueing networks: Current status and open problems
    • J.M. Harrison and V. Nguyen, Brownian models of multiclass queueing networks: Current status and open problems, Queueing Systems 13 (1993) 5-40.
    • (1993) Queueing Systems , vol.13 , pp. 5-40
    • Harrison, J.M.1    Nguyen, V.2
  • 11
    • 0003218119 scopus 로고    scopus 로고
    • Large deviations of stationary reflected brownian motions
    • eds. F.P. Kelly, S. Zachary and I. Ziedins, Royal Statistical Society Lecture Note Series Oxford Science Publications
    • K. Majewski, Large deviations of stationary reflected Brownian motions, in: Stochastic Networks: Theory and Applications, eds. F.P. Kelly, S. Zachary and I. Ziedins, Royal Statistical Society Lecture Note Series (Oxford Science Publications, 1996) pp. 105-118.
    • (1996) Stochastic Networks: Theory and Applications , pp. 105-118
    • Majewski, K.1
  • 13
    • 0038959553 scopus 로고
    • Technical Report DIAS-APG-9413, Dublin Institute for Advanced Studies April
    • N. O'Connell, Large deviations in queueing networks, Technical Report DIAS-APG-9413, Dublin Institute for Advanced Studies (April 1995).
    • (1995) Large Deviations in Queueing Networks
    • O'Connell, N.1
  • 14
    • 0002816593 scopus 로고
    • A heavy traffic limit theorem for networks of queues with multiple customer types
    • W.P. Peterson, A heavy traffic limit theorem for networks of queues with multiple customer types, Math. Oper. Res. 16(1) (1991) 90-118.
    • (1991) Math. Oper. Res. , vol.16 , Issue.1 , pp. 90-118
    • Peterson, W.P.1
  • 16
    • 0039552500 scopus 로고
    • Technical Report LCDS #95-8, Lefschetz Center for Dynamical Systems and Center for Control Sciences, Division of Applied Mathematics, Brown University, Providence, RI August
    • K. Ramanan and P. Dupuis, Large deviation properties of data streams that share a buffer, Technical Report LCDS #95-8, Lefschetz Center for Dynamical Systems and Center for Control Sciences, Division of Applied Mathematics, Brown University, Providence, RI (August 1995).
    • (1995) Large Deviation Properties of Data Streams That Share a Buffer
    • Ramanan, K.1    Dupuis, P.2
  • 17
    • 0001595877 scopus 로고
    • Semimartingale reflecting brownian motions in the orthant
    • eds. F.P. Kelly and R.J. Williams Springer, Berlin
    • R.J. Williams, Semimartingale reflecting Brownian motions in the orthant, in: Stochastic Networks, eds. F.P. Kelly and R.J. Williams (Springer, Berlin, 1995) pp. 125-137.
    • (1995) Stochastic Networks , pp. 125-137
    • Williams, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.