We construct and study a mathematical model for the distribution of information transmission resource in a multiservice access node. The model considers an arbitrary number of multimedia traffic streams, which differ in the intensity of claims arrival, the amount of resource used to service one claim, and the resource occupation time. The time intervals between the arrival of claims have an exponential distribution with a parameter depending on the number of claims being serviced in the considered flow. We construct a recursive algorithm for evaluating the characteristics. Relations are established between the integral and flow characteristics of the quality of service for the claims. We construct an efficient algorithm for estimating the amount of resource required to service given traffic flows with required quality. The efficiency of the computational procedure is achieved as a result of organizing recursion over the volume of resource and the use of normalized values of state probabilities. We consider a solution to the problem of estimating the required amount of resource for a multiservice node model, which allows to use resource reservation and dynamic distribution mechanisms when servicing elastic traffic. We show numerical examples that illustrate the features of the implementation of the constructed computational procedures.

我们构建并研究了用于在多服务访问节点中分配信息传输资源的数学模型。该模型考虑任意数量的多媒体业务流，这些流在索赔到达的强度，用于为一项索赔提供服务的资源量以及资源占用时间方面有所不同。索赔到达之间的时间间隔具有指数分布，其参数取决于在考虑的流程中服务的索赔数量。我们构造了一个递归算法来评估特征。在索赔的服务质量的整体和流动特性之间建立关系。我们构造了一种有效的算法，用于估算为具有所需质量的给定流量提供服务所需的资源量。通过组织资源量上的递归和使用状态概率的归一化值，可以实现计算过程的效率。我们考虑一种解决方案，该问题用于估计多服务节点模型所需的资源量，该模型允许在为弹性流量提供服务时使用资源保留和动态分配机制。我们显示了数值示例，这些示例说明了所构造的计算过程的实现特征。在为弹性流量提供服务时，允许使用资源保留和动态分配机制。我们显示了数值示例，这些示例说明了所构造的计算过程的实现特征。在为弹性流量提供服务时，允许使用资源保留和动态分配机制。我们显示了数值示例，这些示例说明了所构造的计算过程的实现特征。