一类逻辑环随机模型的站点状态概率数学特征

Station state probability mathematic characteristics of logic ring stochastic model

对一类非对称型、队列容量有限、实施门限方式全服务的逻辑环随机模型的结构及运行特点进行了研究 .首先运用随机服务系统理论建立数学模型 ,分析并证明了其站点状态概率的若干特性 ,然后通过计算机仿真加以验证 ,最后从物理现象上对这些特性进行了解释 .在此 ,选用 Extend4.0作为仿真工具 ,是由于它不仅功能强大、用户界面友好 。

The authors analyzed the structure and characteristics of an unsymmetrical logic ring stochastic model that has limited capacity and adopts threshold full service mode. In the first place, the authors presented some mathematical formulae to prove that the station state probabilities of such a model are of some certain characteristics, whose correctness was then confirmed by computer simulation. Furthermore, the authors physically explained the presented characteristics in the unsymmetrical logic ring stochastic model. Here, the authors make use of the Extend 4.0 to do simulation, not only because it has quite powerful function and friendly user interface, but also because it has real-time dynamic display of the simulation process which make it very easy to trace the simulation.