Abstract

A telematics device is modeled as a two-stream Markov one-channel priority queuing system of finite capacity equipped with a probabilistic pushing out mechanism. Its probability, \(0 \leqslant \alpha \leqslant 1\), of pushing out is the control parameter of the queuing system. It is experimentally and theoretically proved that on the plane of the load factors for high-priority and low-priority traffic, there are regions within which each of the loss probabilities depends on parameter α in a linear manner. The shape of these linearity regions is studied in detail for the case of absolute and relative priority, for each of which the limits of applicability of the linear loss law are constructed. The optimal value of the pushing out probability α is obtained according to the criterion of the minimal probability of losing high-priority claims under the condition of limiting the probability of losing low-priority claims. The described method was used to remotely control robotic devices under the conditions of the Kontur space experiment onboard the International Space Station.

中文翻译：

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基于概率推出机制的查询流控制系统参数选择

摘要

远程信息处理设备被建模为具有概率推出机制的有限容量的两流Markov单通道优先级排队系统。它的概率\（0 \ leqslant \ alpha \ leqslant 1 \），是排队系统的控制参数。从实验和理论上证明，在高优先级和低优先级流量的负载因子平面上，存在一些区域，其中每个损失概率以线性方式取决于参数α。对于绝对优先级和相对优先级的情况，将详细研究这些线性区域的形状，为此分别构造了线性损耗定律的适用范围。在限制丢失低优先权要求的概率的条件下，根据丢失高优先权要求的最小概率的准则来获得推出概率α的最优值。