메뉴 건너뛰기




Volumn 15, Issue 3, 2005, Pages 1652-1690

Instability in stochastic and fluid queueing networks

Author keywords

Fluid models; Large deviations; Rate stability

Indexed keywords


EID: 32144456828     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/105051605000000179     Document Type: Article
Times cited : (15)

References (21)
  • 2
    • 0033249379 scopus 로고    scopus 로고
    • A stable queueing network with unstable fluid model
    • BRAMSON, M. (1999). A stable queueing network with unstable fluid model. Ann. Appl. Probab. 9 818-853.
    • (1999) Ann. Appl. Probab. , vol.9 , pp. 818-853
    • Bramson, M.1
  • 3
    • 0035540275 scopus 로고    scopus 로고
    • Stability of earliest-due-date, first-served queueing networks
    • BRAMSON, M. (2001). Stability of earliest-due-date, first-served queueing networks. Queueing Syst. Theory Appl. 3979-102.
    • (2001) Queueing Syst. Theory Appl. , pp. 3979-4102
    • Bramson, M.1
  • 4
    • 21844491189 scopus 로고
    • Fluid approximations and stability of multiclass queueing networks I: Work-conserving disciplines
    • CHEN, H. (1995). Fluid approximations and stability of multiclass queueing networks I: Work-conserving disciplines. Ann. Appl. Probab. 5 637-665.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 637-665
    • Chen, H.1
  • 5
    • 0031207921 scopus 로고    scopus 로고
    • Stability of multiclass queueing networks under FIFO service discipline
    • CHEN, H. and ZHANG, H. (1997). Stability of multiclass queueing networks under FIFO service discipline. Math. Oper. Res. 22 691-725.
    • (1997) Math. Oper. Res. , vol.22 , pp. 691-725
    • Chen, H.1    Zhang, H.2
  • 6
    • 0043162307 scopus 로고    scopus 로고
    • Bandwidth packing. Average-case analysis of algorithms
    • COFFMAN, E. and STOLYAR, A. (2001). Bandwidth packing. Average-case analysis of algorithms. Algorithmica 29 70-88.
    • (2001) Algorithmica , vol.29 , pp. 70-88
    • Coffman, E.1    Stolyar, A.2
  • 7
    • 0003077340 scopus 로고
    • On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
    • DAI, J. G. (1995). On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models. Ann. Appl. Probab. 5 49-77.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 49-77
    • Dai, J.G.1
  • 8
    • 0030506542 scopus 로고    scopus 로고
    • A fluid-limit model criterion for instability of multiclass queueing networks
    • DAI, J. G. (1996). A fluid-limit model criterion for instability of multiclass queueing networks. Ann. Appl. Probab. 6 751-757.
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 751-757
    • Dai, J.G.1
  • 9
    • 0009859421 scopus 로고    scopus 로고
    • Stability of fluid and stochastic processing networks
    • Centre for Mathematical Physics and Stochastics
    • DAI, J. G. (1999). Stability of fluid and stochastic processing networks. In MaPhySto Miscellanea Publication 9. Centre for Mathematical Physics and Stochastics.
    • (1999) MaPhySto Miscellanea Publication , vol.9
    • Dai, J.G.1
  • 10
    • 26844489409 scopus 로고    scopus 로고
    • Stability and instability of a two-station queueing network
    • DAI, J. G., HASENBEIN, J. J. and VANDEVATE, J. H. (2004). Stability and instability of a two-station queueing network. Ann. Appl. Probab. 14 326-377.
    • (2004) Ann. Appl. Probab. , vol.14 , pp. 326-377
    • Dai, J.G.1    Hasenbein, J.J.2    Vandevate, J.H.3
  • 11
    • 11244340683 scopus 로고    scopus 로고
    • Stabilizing queueing networks with setups
    • DAI, J. G. and JENNINGS, O. B. (2004). Stabilizing queueing networks with setups. Math. Oper. Res. 29 891-922.
    • (2004) Math. Oper. Res. , vol.29 , pp. 891-922
    • Dai, J.G.1    Jennings, O.B.2
  • 12
    • 0034262627 scopus 로고    scopus 로고
    • The stability of two-station multitype fluid networks
    • DAI, J. G. and VANDEVATE, J. (2000). The stability of two-station multitype fluid networks. Oper. Res. 48721-744.
    • (2000) Oper. Res. , vol.48 , pp. 721-744
    • Dai, J.G.1    Vandevate, J.2
  • 13
    • 0036389824 scopus 로고    scopus 로고
    • Fluid limits of string valued Markov processes
    • DANTZER, J.-F. and ROBERT, P. (2002). Fluid limits of string valued Markov processes. Ann. Appl. Probab. 12 860-889.
    • (2002) Ann. Appl. Probab. , vol.12 , pp. 860-889
    • Dantzer, J.-F.1    Robert, P.2
  • 15
    • 0036577783 scopus 로고    scopus 로고
    • On deciding stability of constrained homogeneous random walks and queueing systems
    • GAMARNIK, D. (2002). On deciding stability of constrained homogeneous random walks and queueing systems. Math. Oper. Res. 27 272-293.
    • (2002) Math. Oper. Res. , vol.27 , pp. 272-293
    • Gamarnik, D.1
  • 16
    • 0030270118 scopus 로고    scopus 로고
    • Fluctuation smoothing policies are stable for stochastic reentrant lines
    • KUMAR, S. and KUMAR, P. R. (1996). Fluctuation smoothing policies are stable for stochastic reentrant lines. Discrete Event Dyn. Syst. 6 361-370.
    • (1996) Discrete Event Dyn. Syst. , vol.6 , pp. 361-370
    • Kumar, S.1    Kumar, P.R.2
  • 17
    • 21344474295 scopus 로고
    • Transience of multiclass queueing networks via fluid limit models
    • MEYN, S. P. (1995). Transience of multiclass queueing networks via fluid limit models. Ann. Appl. Probab. 5 946-957.
    • (1995) Ann. Appl. Probab. , vol.5 , pp. 946-957
    • Meyn, S.P.1
  • 18
    • 0036290914 scopus 로고    scopus 로고
    • Sequencing and routing in multiclass queueing networks. Part I: Feedback regulation
    • MEYN, S. P. (2001). Sequencing and routing in multiclass queueing networks. Part I: Feedback regulation. SIAM J. Control Optim. 40 741-776.
    • (2001) SIAM J. Control Optim. , vol.40 , pp. 741-776
    • Meyn, S.P.1
  • 19
    • 32144463812 scopus 로고    scopus 로고
    • Nonergodicity of a queueing network under nonstability of its fluid model
    • PUHALSKII, A. A. and RYBKO, A. N. (2000). Nonergodicity of a queueing network under nonstability of its fluid model. Probl. Inf. Transm. 36 23-41.
    • (2000) Probl. Inf. Transm. , vol.36 , pp. 23-41
    • Puhalskii, A.A.1    Rybko, A.N.2
  • 20
    • 0000334914 scopus 로고
    • Ergodicity of stochastic processes describing the operation of open queueing networks
    • RYBKO, A. N. and STOLYAR, A. L. (1992). Ergodicity of stochastic processes describing the operation of open queueing networks. Probl. Inf. Transm. 28 199-220.
    • (1992) Probl. Inf. Transm. , vol.28 , pp. 199-220
    • Rybko, A.N.1    Stolyar, A.L.2
  • 21
    • 0001669393 scopus 로고
    • On the stability of multiclass queueing networks: A relaxed sufficient condition via limiting fluid processes
    • STOLYAR, A. (1995). On the stability of multiclass queueing networks: A relaxed sufficient condition via limiting fluid processes. Markov Process. Related Fields 1 491-512.
    • (1995) Markov Process. Related Fields , vol.1 , pp. 491-512
    • Stolyar, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.