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STABILITY OF GENERALIZED JACKSON NETWORKS WITH INFINITE SUPPLY OF WORK

STABILITY OF GENERALIZED JACKSON NETWORKS WITH INFINITE SUPPLY OF WORK
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摘要 A general Jackson network (GJN) with infinite supply of work is considered. By fluid limit model, the author finds that the Markov process describing the dynamics of the GJN with infinite supply of work is positive Harris recurrent if the corresponding fluid model is stable. Furthermore, the author proves that the fluid model is stable if the usual traffic condition holds.
作者 Yongjiang GUO
机构地区 School of Science
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2008年第2期283-295,共13页 系统科学与复杂性学报(英文版)
关键词 Fluid limit model general Jackson network (GJN) infinite supply positive Harris recurrent stability. 稳定性 JACKSON网络 最优化设计 马尔可夫过程
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  • 1H.Chen,Fluid approximations and stability of multiclass queueing networks Ⅰ:Wrokconserving disciplines,Annals of Applied Probability,5,637-665 (1995).
  • 2H.Chen and H.Zhang,Stability of multiclass queueing networks under priority service disciplines,Operation Research,48,26-37 (2000).
  • 3J.G.Dai,On the positive Harris recurrence for multiclass queueing networks,Annals of Applied Probability,5,49-77 (1995).
  • 4J.G.Dai and G.Weiss,Stablity and instability of fluid models for reentrant lines,Mathematics of Operations Research,21,115-134 (1996).
  • 5G.Fayolle,R.Iasnogorodski and V.Malyshev,Random Walks in the Quarter-Plane,Springer,(1999).
  • 6Y.Guo and H.Zhang,Stability of Re-entrant Lines with Infinite Supply,Working Paper,Academy of mathematics and Systems Science,Academia Sinica,(2005).
  • 7J.M.Harrison,Brownian models of queueing networks with heterogeneous customer populations,Proceedings of the IMA Workshop on Stochastic Differential Systems,Springer-Verlag,(1988).
  • 8G.H.Hsu,Stochastic Service Systems,Beijing,1992.
  • 9P.R.Kumar,Re-entrant lines,Queueing Systems,13,87-110 (1993).
  • 10S.P.Meyn and R.L.Tweedie,Markov Chains and Stochastic Stability,Springer-Verlag,London,(1993).

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