Method for Optimal Route

A. Iliukhin, L. Galiullin
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Abstract

Describes the work on modern scientific achievements in graph theory, studying the developed algorithms, comparing their advantages and disadvantages, the reason for choosing the Ford-Bellman algorithm as a tool for solving the problem. The principle of the Ford-Bellman Algorithm and its structure were also described. The works on designing the architecture of Ford-Bellman algorithms in C # language, designing a class hierarchy for geometric objects modeling graphs, designing a model that implements threedimensional geometric space were described. The architecture of the graphical interface and the hierarchy of its classes were also described. The paper describes the implementation of the model, which searches for the shortest route between any two points of the graph, the implementation of the graphical interface through which the algorithm is controlled. As a result of the work, the design and development of the application for finding the shortest route in a weighted connected pseudograph was carried out. The algorithm has been tested. The algorithm works and successfully performs the task. The algorithm was encapsulated and allocated to a separate class library, which makes it possible to use it in many other projects of different industries. It can be used for engineering calculations in which the problem can be represented as a graph; in tasks where it is necessary to find the shortest path from one point to another; in robotics and systems with artificial intelligence.
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最优路线方法
介绍了现代图论的科学成果,研究了发展起来的算法,比较了它们的优缺点,说明了选择Ford-Bellman算法作为解决问题的工具的原因。介绍了Ford-Bellman算法的基本原理及其结构。介绍了用c#语言设计Ford-Bellman算法的体系结构,设计几何对象建模图形的类层次结构,设计实现三维几何空间的模型。描述了图形界面的体系结构及其类的层次结构。本文描述了搜索图中任意两点之间最短路径的模型的实现,以及控制算法的图形界面的实现。在此基础上,设计并开发了加权连通伪图中最短路径求解的应用程序。该算法已经过测试。该算法工作并成功执行任务。该算法被封装并分配到一个单独的类库中,这使得它可以在不同行业的许多其他项目中使用。它可以用于工程计算,其中问题可以用图形表示;在需要找到从一点到另一点的最短路径的任务中;在机器人和人工智能系统中。
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