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本文用m-M/M/1队列模型来描述通信网交换节点特性,并设线路成本为其长度和容量的非线性函数。证明了通信线路总成本为其流的下凸函数和线路容量单元的下降函数,从而给出了通信网容量、流量分配的整体极小解及其路由选择方法。应用例子表明该设计是高效可行的。
In this paper, we use the m-M / M / 1 queue model to describe the characteristics of the switching nodes in the communication network and set the cost of the line as a nonlinear function of its length and capacity. The total cost of the communication line is proved to be the convex function of the flow and the descent function of the unit of the line capacity. Thus, the overall minimum solution of communication network capacity and traffic distribution and the routing method are given. Application examples show that the design is efficient and feasible.