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Exploiting Obstacle Geometry to Reduce Search Time in Grid-Based Pathfinding

机译:利用障碍物几何,以减少基于网格的路径挤压的搜索时间

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摘要

Pathfinding is the problem of finding the shortest path between a pair of nodes in a graph. In the context of uniform-cost undirected grid maps, heuristic search algorithms, such as A ☆ and weighted A ☆ ( W A ☆ ), have been dominantly used for pathfinding. However, the lack of knowledge about obstacle shapes in a gird map often leads heuristic search algorithms to unnecessarily explore areas where a viable path is not available. We refer to such areas in a grid map as blocked areas (BAs). This paper introduces a preprocessing algorithm that analyzes the geometry of obstacles in a grid map and stores knowledge about blocked areas in a memory-efficient balanced binary search tree data structure. During actual pathfinding, a search algorithm accesses the binary search tree to identify blocked areas in a grid map and therefore avoid exploring them. As a result, the search time is significantly reduced. The scope of the paper covers maps in which obstacles are represented as horizontal and vertical line-segments. The impact of using the blocked area knowledge during pathfinding in A ☆ and W A ☆ is evaluated using publicly available benchmark set, consisting of sixty grid maps of mazes and rooms. In mazes, the search time for both A ☆ and W A ☆ is reduced by 28 % , on average. In rooms, the search time for both A ☆ and W A ☆ is reduced by 30 % , on average. This is achieved while preserving the search optimality of A ☆ and the search sub-optimality of W A ☆ .
机译:寻路是发现在图形一对节点之间的最短路径的问题。在均匀成本无向网格地图,启发式搜索算法,如A的上下文☆和加权的☆(W A☆),已经主要使用了寻路。然而,在网格地图的缺乏对障碍物的形状的知识往往导致启发式搜索算法不必要的探索,其中一个可行的路径是不可用的地方。我们将这样的区域在栅格地图作为封锁区域(BAS)。本文介绍了一种预处理算法分析的障碍几何栅格地图,存储知识有关的记忆效率平衡的二叉搜索树数据结构封锁区。在实际寻路,搜索算法访问二叉搜索树,以确定在网格地图封锁区域,从而避免它们探索。其结果是,搜索时间显著减少。纸盖的范围映射,其中障碍物被表示为水平和垂直线段。在一个☆和W A寻路过程中使用遮挡区域知识的影响☆使用公开可用的基准组,由60格的评估迷宫和房间的地图。在迷宫,对于阿☆和W A☆搜索时间被减少了28%,平均。在房间,对于阿☆和W A☆搜索时间被减少了30%,平均。这同时保持☆的搜索最优和W A的搜索次最优☆实现。

著录项

  • 作者

    Fahed Jubair; Mohammed Hawa;

  • 作者单位
  • 年度 2020
  • 总页数
  • 原文格式 PDF
  • 正文语种 eng
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