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Volumn 34, Issue 1, 2009, Pages 45-56

Stationary distribution convergence for generalized Jackson networks in heavy traffic

Author keywords

Generalized Jackson network; Heavy traffic analysis; Invariant measures; Reflected Brownian motion

Indexed keywords

CONVERGENCE OF MOMENTS; GENERALIZED JACKSON NETWORK; HEAVY TRAFFIC ANALYSIS; HEAVY TRAFFIC LIMIT; HEAVY TRAFFICS; INTEGRABILITY; INTEGRABILITY ASSUMPTIONS; INVARIANT MEASURES; JACKSON NETWORKS; OPEN QUEUEING NETWORKS; REFLECTED BROWNIAN MOTION; SQUARE INTEGRABILITY; STATIONARY DISTRIBUTION;

EID: 67649984883     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1080.0353     Document Type: Article
Times cited : (62)

References (13)
  • 1
    • 0035621705 scopus 로고    scopus 로고
    • On positive recurrence of constrained diffusion processes
    • Atar, R., A. Budhiraja, P. Dupuis. 2001. On positive recurrence of constrained diffusion processes. Ann. Probab. 29(2) 979-1000.
    • (2001) Ann. Probab , vol.29 , Issue.2 , pp. 979-1000
    • Atar, R.1    Budhiraja, A.2    Dupuis, P.3
  • 2
    • 33846882567 scopus 로고    scopus 로고
    • Diffusion approximations for controlled stochastic networks: An asymptotic bound for the value function
    • Budhiraja, A., A. Ghosh. 2006. Diffusion approximations for controlled stochastic networks: An asymptotic bound for the value function. Ann. Appl. Probab. 16(4) 1962-2006.
    • (2006) Ann. Appl. Probab , vol.16 , Issue.4 , pp. 1962-2006
    • Budhiraja, A.1    Ghosh, A.2
  • 3
    • 0003077340 scopus 로고
    • On positive Harris recurrence of queueing networks: A uni.ed approach via fluid limit models
    • Dai, J. G. 1995. On positive Harris recurrence of queueing networks: A uni.ed approach via fluid limit models. Ann. Appl. Probab. 5 49-77.
    • (1995) Ann. Appl. Probab , vol.5 , pp. 49-77
    • Dai, J.G.1
  • 4
    • 0029404157 scopus 로고
    • Stability and convergence of moments for multiclass queueing networks via fluid limit models
    • Dai, J. G., S. P. Meyn. 1995. Stability and convergence of moments for multiclass queueing networks via fluid limit models. IEEE Trans. Automatic Control 40 1889-1904.
    • (1995) IEEE Trans. Automatic Control , vol.40 , pp. 1889-1904
    • Dai, J.G.1    Meyn, S.P.2
  • 5
    • 33645684371 scopus 로고    scopus 로고
    • Validity of heavy traf.c steady-state approximations in open queueing networks
    • Gamarnik, D., A. Zeevi. 2006. Validity of heavy traf.c steady-state approximations in open queueing networks. Ann. Appl. Probab. 16(1) 56-90.
    • (2006) Ann. Appl. Probab , vol.16 , Issue.1 , pp. 56-90
    • Gamarnik, D.1    Zeevi, A.2
  • 6
    • 0000585232 scopus 로고
    • Re.ected Brownian motion on an orthant
    • Harrison, J. M., M. I. Reiman. 1981. Re.ected Brownian motion on an orthant. Ann. Probab. 9(2) 302-308.
    • (1981) Ann. Probab , vol.9 , Issue.2 , pp. 302-308
    • Harrison, J.M.1    Reiman, M.I.2
  • 7
    • 0002500631 scopus 로고
    • Brownian models of open queueing networks with homogeneous customer populations
    • Harrison, J. M., R. J. Williams. 1987. Brownian models of open queueing networks with homogeneous customer populations. Stochastics 22(2) 77-115.
    • (1987) Stochastics , vol.22 , Issue.2 , pp. 77-115
    • Harrison, J.M.1    Williams, R.J.2
  • 8
    • 0000637360 scopus 로고
    • Networks of waiting lines
    • Jackson, J. R. 1957. Networks of waiting lines. Oper. Res. 5 518-521.
    • (1957) Oper. Res , vol.5 , pp. 518-521
    • Jackson, J.R.1
  • 9
    • 0001695753 scopus 로고
    • Stability of generalized Jackson networks
    • Meyn, S. P., D. Down. 1994. Stability of generalized Jackson networks. Ann. Appl. Probab. 4(1) 124-148.
    • (1994) Ann. Appl. Probab , vol.4 , Issue.1 , pp. 124-148
    • Meyn, S.P.1    Down, D.2
  • 11
    • 0021481522 scopus 로고
    • Open queueing networks in heavy traf.c
    • Reiman, M. I. 1984. Open queueing networks in heavy traf.c. Math. Oper. Res. 9(3) 441-458.
    • (1984) Math. Oper. Res , vol.9 , Issue.3 , pp. 441-458
    • Reiman, M.I.1
  • 12
    • 38249019374 scopus 로고
    • The stability of open queueing networks
    • Sigman, K. 1990. The stability of open queueing networks. Stochastic Process. Appl. 35(1) 11-25.
    • (1990) Stochastic Process. Appl , vol.35 , Issue.1 , pp. 11-25
    • Sigman, K.1
  • 13
    • 0040039121 scopus 로고
    • On the cumulants of renewal processes
    • Smith, W. L. 1959. On the cumulants of renewal processes. Biometrika 46(1/2) 1-29.
    • (1959) Biometrika , vol.46 , Issue.1-2 , pp. 1-29
    • Smith, W.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.