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Computer Science > Artificial Intelligence

arXiv:2308.10988 (cs)
[Submitted on 15 Aug 2023]

Title:ERA*: Enhanced Relaxed A* algorithm for Solving the Shortest Path Problem in Regular Grid Maps

Authors:Adel Ammar
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Abstract:This paper introduces a novel algorithm for solving the point-to-point shortest path problem in a static regular 8-neighbor connectivity (G8) grid. This algorithm can be seen as a generalization of Hadlock algorithm to G8 grids, and is shown to be theoretically equivalent to the relaxed $A^*$ ($RA^*$) algorithm in terms of the provided solution's path length, but with substantial time and memory savings, due to a completely different computation strategy, based on defining a set of lookup matrices. Through an experimental study on grid maps of various types and sizes (1290 runs on 43 maps), it is proven to be 2.25 times faster than $RA^*$ and 17 times faster than the original $A^*$, in average. Moreover, it is more memory-efficient, since it does not need to store a G score matrix.
Subjects: Artificial Intelligence (cs.AI)
Cite as: arXiv:2308.10988 [cs.AI]
  (or arXiv:2308.10988v1 [cs.AI] for this version)
  https://doi.org/10.48550/arXiv.2308.10988

Submission history

From: Adel Ammar [view email]
[v1] Tue, 15 Aug 2023 07:25:13 UTC (1,669 KB)
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