Optimization of Interception Plan for Rectilinearly Moving Targets

IF 0.6 4区 计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Automation and Remote Control Pub Date : 2023-10-01 DOI:10.1134/s000511792310003x
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Abstract

The article considers the problem of combinatorial optimization of interception of rectilinearly moving targets as a modification of the traveling salesman problem. New macro characteristics and definitions for this problem are introduced and used to classify the obtained solutions. Vector criteria composed of several important for applications functionals are described. The principles of no-waiting and maximum velocity are proved for two types of criteria. An intelligent brute-force algorithm with dynamic programming elements for finding optimal plans according to the introduced intercept criteria is proposed and implemented. Statistics of solutions of the developed algorithm is collected for a set of different initial parameters and the proposed macro characteristics are investigated. The conclusions about their applicability as local rules for the greedy algorithm for finding a suboptimal intercept plan are drawn.

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优化直线运动目标的拦截计划
摘要 文章将拦截直线运动目标的组合优化问题视为旅行推销员问题的一种修正。文章引入了这一问题的新宏观特征和定义,并用于对所获得的解决方案进行分类。描述了由几个重要应用函数组成的向量标准。证明了两类标准的无等待原则和最大速度原则。提出并实施了一种带有动态编程元素的智能蛮力算法,用于根据引入的拦截标准找到最优计划。针对一组不同的初始参数,收集了所开发算法的解的统计数据,并对所提出的宏观特征进行了研究。得出的结论是,这些特征可作为贪婪算法的局部规则,用于寻找次优拦截计划。
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来源期刊
Automation and Remote Control
Automation and Remote Control 工程技术-仪器仪表
CiteScore
1.70
自引率
28.60%
发文量
90
审稿时长
3-8 weeks
期刊介绍: Automation and Remote Control is one of the first journals on control theory. The scope of the journal is control theory problems and applications. The journal publishes reviews, original articles, and short communications (deterministic, stochastic, adaptive, and robust formulations) and its applications (computer control, components and instruments, process control, social and economy control, etc.).
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