Development of a mathematical model and algorithm for the sequence of fault detection of the ship's hull

Y. Kochnev, Irina B. Kochneva, O. K. Zyablov
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Abstract

The labor intensity of the hull fault detection process, which generally consists of work performed directly on the vessel and the preparation of the final report, can be reduced through the use of modern methods of computer data analysis. The sequence of measurements of defects on the vessel (residual thicknesses, deformations, cement and other sealings, cracks, holes) can be justified by solving a modified traveling salesman problem, reflecting the optimization of the path between points in space, with the goal function in the form of the spent finite time, which is the sum of the time for performing the measurements themselves, moving between the points of such measurements, various technical works, for example, installing a ladder for access to the area located above human growth and its movement to the right sector of work. The article develops a mathematical model of human motion in the space around the vessel, an algorithm of movement. The adaptation of the genetic algorithm for the problem under consideration is given, including the features of solution coding, crossing and mutation of solutions, and choosing the best option. The results of the test debugging simulation for the bow of the river pusher hull showed the operability of the developed algorithm and the possibility of its application for research and practical tasks.
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开发船体故障检测序列的数学模型和算法
船体故障检测过程一般包括直接在船上进行的工作和最终报告的编写,通过使用现代计算机数据分析方法,可以减少这一过程的劳动强度。船体缺陷(残余厚度、变形、水泥和其他密封材料、裂缝、孔洞)的测量顺序可以通过求解修正的旅行推销员问题来确定,该问题反映了空间点之间路径的优化,其目标函数形式为所花费的有限时间,即进行测量本身、在这些测量点之间移动、各种技术工作(例如,安装梯子以进入位于人体生长上方的区域以及将其移动到正确的工作区域)的时间总和。文章建立了一个人在容器周围空间运动的数学模型,即运动算法。文章给出了遗传算法对所考虑问题的适应性,包括解决方案编码、解决方案的交叉和突变以及选择最佳方案等特征。对河道推船船头的测试调试模拟结果表明了所开发算法的可操作性,以及将其应用于研究和实际任务的可能性。
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