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Volumn 134, Issue 1, 2009, Pages 67-104

Spontaneous resonances and the coherent states of the queuing networks

Author keywords

Coupled dynamical systems; Long range order; Non linear Markov processes; Phase transition; Stable attractor

Indexed keywords


EID: 58549107783     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-008-9658-0     Document Type: Article
Times cited : (16)

References (18)
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  • 2
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    • M. Bramson 1994 Instability of FIFO queueing networks with quick service times Ann. Appl. Probab. 4 693 718
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    • Bramson, M.1
  • 3
    • 0003077340 scopus 로고
    • On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
    • J.G. Dai 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
  • 6
    • 0001633167 scopus 로고
    • Phase transitions in reservoir-driven open systems with applications to lasers and superconductors
    • K. Hepp E.H. Lieb 1973 Phase transitions in reservoir-driven open systems with applications to lasers and superconductors Helv. Phys. Acta 46 574 603
    • (1973) Helv. Phys. Acta , vol.46 , pp. 574-603
    • Hepp, K.1    Lieb, E.H.2
  • 8
    • 0025401166 scopus 로고
    • Dynamic instabilities and stabilization methods in distributed real-time scheduling of manufacturing systems
    • P. Kumar T. Seidman 1990 Dynamic instabilities and stabilization methods in distributed real-time scheduling of manufacturing systems IEEE Trans. Automat. Contr. 35 289 298
    • (1990) IEEE Trans. Automat. Contr. , vol.35 , pp. 289-298
    • Kumar, P.1    Seidman, T.2
  • 11
    • 0010914615 scopus 로고
    • A class of Markov processes associated with nonlinear parabolic equations
    • H.P. McKean Jr. 1966 A class of Markov processes associated with nonlinear parabolic equations Proc. Natl. Acad. Sci. USA 56 1907 1911
    • (1966) Proc. Natl. Acad. Sci. USA , vol.56 , pp. 1907-1911
    • McKean Jr., H.P.1
  • 12
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    • An exponential formula for solving Boltzmann's equation for a Maxwellian gas
    • H.P. McKean Jr. 1967 An exponential formula for solving Boltzmann's equation for a Maxwellian gas J. Comb. Theory 2 358 382
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    • McKean Jr., H.P.1
  • 13
    • 77949731625 scopus 로고    scopus 로고
    • Non-ergodicity of queueing networks when their fluid model is unstable
    • A. Puhalsky A. Rybko 2000 Non-ergodicity of queueing networks when their fluid model is unstable Probl. Inf. Transm. 36 26 46
    • (2000) Probl. Inf. Transm. , vol.36 , pp. 26-46
    • Puhalsky, A.1    Rybko, A.2
  • 14
    • 33750200961 scopus 로고    scopus 로고
    • Poisson hypothesis for information networks
    • Tsfasman'sFestschrift,MoscowMath.J.5,927-959(2005)
    • Rybko, A.N., Shlosman, S.B.: Poisson hypothesis for information networks, http://fr.arxiv.org/PS-cache/math/pdf/0406/0406110.pdf. Sinai's Festschrift, Moscow Math. J. 5, 679-704 (2005). Tsfasman's Festschrift, Moscow Math. J. 5, 927-959 (2005)
    • (2005) Moscow Math. J. , vol.5 , pp. 679-04
    • Rybko, A.N.1    Shlosman, S.B.2
  • 15
    • 33846809190 scopus 로고    scopus 로고
    • Self-averaging Property of Queuing Systems
    • Rybko, A.N., Shlosman, S.B., Vladimirov, A.: Self-averaging property of queuing systems, http://fr.arxiv.org/abs/math.PR/0510046. Probl. Inf. Transm. (4) (2006)
    • (2006) Probl.Inf.Transm. , Issue.4
    • Rybko, A.N.1    Shlosman, S.B.2    Vladimirov, A.3
  • 16
    • 0000334914 scopus 로고
    • Ergodicity of stochastic processes describing the operation of open queuing networks
    • A.N. Rybko A.L. Stolyar 1992 Ergodicity of stochastic processes describing the operation of open queuing networks Probl. Inf. Transm. 28 199 220
    • (1992) Probl. Inf. Transm. , vol.28 , pp. 199-220
    • Rybko, A.N.1    Stolyar, A.L.2
  • 17
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    • The asymptotics of stationary distribution for a closed queueing system
    • 4. (in Russian). Translation in Probl. Inf. Transm. 25(4), 321-331 (1990)
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  • 18
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    • On the stability of multiclass queueing networks: A relaxed sufficient condition via limiting fluid processes
    • A.L. Stolyar 1995 On the stability of multiclass queueing networks: a relaxed sufficient condition via limiting fluid processes Markov Process. Relat. Fields 1 491 512
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    • Stolyar, A.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.