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    The other one is multiple customer typs and multiple server stations queueing networks with feedback and we obtain limit theorem for workload process in heavy traffic.
    另一类是带有反馈的多类顾客多服务台队列网络,我们获得了队列网络中负荷过程的扩散逼近
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  diffusion approximation
A system of equations, which describes the behavior of magnetized or polarized dispersive media in electromagnetic fields in the "diffusion approximation," is derived.
      
In the "diffusion approximation" these equations for the rate of change of entropy replace the more unwieldy energy equation usually used in the hydrodynamics of multiphase media.
      
The method of multiscale asymptotic expansions is used to derive a model equation describing the evolution of internal waves in a viscous stratified fluid with allowance for nonlinearity, dispersion, and diffraction in the diffusion approximation.
      
The vibrational kinetics is described in the framework of the so-called diffusion approximation.
      
The corresponding coefficients are determined both within the framework of the standard theory and within a modified diffusion approximation, including possible variations.
      
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In this paper, the queueing networks with nonpreemtivc priority discipline arc considered. Introducing the proper auxiliary variable, the theorem about the oblique reflection, we obtain the diffusion approximations for properly normalized sequences of queue length processes, cumulative busyness processes and workload processes.

本文考虑一般的非强占优先排队网络系统,通过引入适当辅量运用斜反射定理获得了经规范化的队长、忙时累积和负荷过程的扩散逼近

The diffusion approximations is proved for queue length process of queueing networks with HL Prioriy service discipline in heavy traffic,the diffusion limit for the queue length process is a semimartingale reflecting Brownian motion.

本文是在高负荷下非强占优先排除网络系统中给出了队长过程的扩散逼近 .证明了其队长过程的扩散极限是半鞅反射的布朗运动 .

In this paper, we consider two class of queueing networks, one is a class of queueing networks with finite capacity We show that a properly nirnmlized queue length process converges semimatingale reflecting Brownian motion in heavy traffic. The other one is multiple customer typs and multiple server stations queueing networks with feedback and we obtain limit theorem for workload process in heavy traffic.

本文给出了两类排队网络。一类是容量有限的队列网络,我们证明了在高负荷下,标准化的队长过程弱收敛于半鞅反射的布朗运动;另一类是带有反馈的多类顾客多服务台队列网络,我们获得了队列网络中负荷过程的扩散逼近

 
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