Convergence Rate of Fluid Approximation for Jackson Network with Multi-Server in Heavy Traffic
每个节点具有多服务台的Jackson网络流体逼近的收敛速度

A generalized Jackson network with multi-server is considered. It is proven that if the arrival, service and routing processes satisfy the functional law of iterated logarithm, then the queue length, workload and busy time processes also satisfy the functional law of iterated logarithm. Furthermore, if the scaled processes of arrival, service and routing uniformly converge to their corresponding fluid processes with exponential rate, then the scaled processes including the queue length, workload and busy time also uniformly converge to their correspondingfluid processes with exponential rate.