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FUNCTIONAL BLOCK DIAGRAMS AND AUTOMATED CONSTRUCTION OF EVENT TREES

机译:功能框图和事件树的自动构建

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Functional Block Diagrams are introduced as a graphical representation of the functional relationships among parts of a system. A functional block diagram provides the overall output (or outmost consequence) of a system as a joint event This joint event is decomposed into simpler events the outcome space of which is partitioned into subsets corresponding to the outcomes of the initial joint event. The simpler events can be further decomposed into a lower level of events where always the outcome space of the children events is partitioned according to the possible outcomes of the parent-event. A hierarchy of events is thus created with multiple levels where the events in a given level (parents) are decomposed to a number of simpler events (children) in the next level of the hierarchy. The outcome space of the children is always partitioned according to the outcomes of the parent event. This partition is expressed in terms of logical relationships connecting the outcomes of the children events with the possible outcome of the parent event. It is demonstrated that such a functional block diagram is equivalent to an event tree with elements the events of the lowest level of the developed hierarchy of events. Furthermore, it is demonstrated that the parent -children relationships can be used to partition the branches of the event tree according to the outcomes of the top event in the hierarchy. The methodology and the associated algorithms have been computerized in a program with a graphical user interface (GUI) which allows the user to input the functional relationships between parent and children events, corresponding probabilities for events of the lowest level and obtain at the end the quantified corresponding simplified event-tree.
机译:介绍功能框图作为系统部分之间的功能关系的图形表示。功能框图提供了系统作为联合事件的系统的整体输出(或最外交结果),该联合事件被分解成更简单的事件,其结果空间被划分为与初始联合事件的结果相对应的子集。更简单的事件可以进一步分解成较低级别的事件,其中始终根据父事件的可能结果进行划分儿童事件的结果。因此,具有多个级别的事件的层次结构,其中给定级别(父母)中的事件在层次结构的下一级中的多个更简单的事件(儿童)中分解。儿童的结果空间始终根据母体事件的结果进行分区。该分区以逻辑关系表示,将儿童事件的结果与父事件的可能结果连接。据证明,这种功能框图相当于具有元素的事件树的事件的事件的最低级别。此外,证明父级关系可以用于根据层次结构中的顶部事件的结果分区事件树的分支。该方法和相关算法已经在具有图形用户界面(GUI)的程序中计算机化,该图形用户界面(GUI)允许用户输入父和儿童事件之间的功能关系,最低级别的事件的相应概率,并在终止时获得量化相应的简化事件树。

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