无限服务器节点网络养老基金研究：一个理论问题
Studying Pensions Funds Through an Infinite Servers Nodes Network: A Theoretical Problem
摘要：
本研究旨在提出一个代表性的养老基金通过随机网络的两个无限服务器节点。有了这种表示，它是允许的基础上推导出的随机利率期望值，其中的贡献到达基金和养老金支付的fund.In我们的研究中，一个随机网络的平衡条件的系统构建的交通表示。该网络允许研究系统中的均衡，并且允许获得养老基金的平衡。当两个节点处的来自外部的到达是根据泊松过程时，系统可以被视为两个节点网络，其中第一个节点是MGinf队列，第二个节点是MtGinf队列。在这种情况下，长期的平衡条件由一个非常简单的公式给出。在这个公式中，它建立了两个节点之间的关系。在研究中给出了几个例子。
英文摘要：
This study intends to present a representation of a pensions fund through a stochastic network with two infinite servers nodes. With this representation it is allowed to deduce an equilibrium condition of the system with basis on the identity of the random rates expected values, for which the contributions arrive to the fund and the pensions are paid by the fund. In our study a stochastic network is constructed where traffic is represented. This network allows to study the equilibrium in the system and it is admissible to get a balance to a pensions fund. A specific case is studied. When the arrivals from outside at two nodes are according to Poisson processes, the system may be seen as a two nodes network where the first node is a MGinf queue and second a MtGinf queue. For this case in the long term the conditions of equilibrium are given by a very simple formula. In this formula it is established a relationship among the two nodes. Several examples are given in the study.
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