arXiv:2604.15202cs.ROcs.AI2026-04

在不规则六边形网格上评测海事覆盖路径规划算法表现。

Benchmarking Classical Coverage Path Planning Heuristics on Irregular Hexagonal Grids for Maritime Coverage Scenarios

论文配图:Benchmarking Classical Coverage Path Planning Heuristics on Irregular Hexagonal Grids for Maritime Coverage Scenarios
图 1 · 摘自论文原文
  • 构建1万例海事场景的不规则六边形网格实例,评估17种经典算法。
  • 最优算法达79.0%哈密顿路径成功率,但几乎无法实现零重复访问。
  • 算法性能受终点保留策略影响显著,细节设计决定成败。

不规则六边形网格上的覆盖路径规划适用于海上监视、搜救与环境监测,但传统方法常在小型非标准示例或矩形网格上进行比较。本文提出一个可复现的基准测试,针对从合成但符合海事需求的区域生成的不规则六边形图,评估确定性单机覆盖路径规划启发式算法。该基准包含10,000个哈密顿可行实例,涵盖紧凑、细长和不规则形态,涉及7类共17种启发式方法,并采用统一评估协议,涵盖哈密顿成功、全覆盖成功、重复访问、路径长度、航向变化及CPU延迟。所有实例经精确深度优先搜索验证均为哈密顿可行。最强经典基线为一种基于索引的平局处理与终端包含残余度策略结合的Warnsdorff变体,达到79.0%的哈密顿成功。主导设计选择并非平局处理本身,而是终点保留至最后一步时残余度的定义方式。这表明在存在瓶颈的稀疏几何图中,未被充分报道的实现细节会显著影响性能。该基准旨在作为启发式分析的可控测试平台,而非舰队级操作最优性的宣称。

原文摘要 · Abstract (English)

Coverage path planning on irregular hexagonal grids is relevant to maritime surveillance, search and rescue and environmental monitoring, yet classical methods are often compared on small ad hoc examples or on rectangular grids. This paper presents a reproducible benchmark of deterministic single-vehicle coverage path planning heuristics on irregular hexagonal graphs derived from synthetic but maritime-motivated areas of interest. The benchmark contains 10,000 Hamiltonian-feasible instances spanning compact, elongated, and irregular morphologies, 17 heuristics from seven families, and a common evaluation protocol covering Hamiltonian success, complete-coverage success, revisits, path length, heading changes, and CPU latency. Across the released dataset, heuristics with explicit shortest-path reconnection solve the relaxed coverage task reliably but almost never produce zero-revisit tours. Exact Depth-First Search confirms that every released instance is Hamiltonian-feasible. The strongest classical Hamiltonian baseline is a Warnsdorff variant that uses an index-based tie-break together with a terminal-inclusive residual-degree policy, reaching 79.0% Hamiltonian success. The dominant design choice is not tie-breaking alone, but how the residual degree is defined when the endpoint is reserved until the final move. This shows that underreported implementation details can materially affect performance on sparse geometric graphs with bottlenecks. The benchmark is intended as a controlled testbed for heuristic analysis rather than as a claim of operational optimality at fleet scale.

路径规划海事应用六边形网格算法评测

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。