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arXiv · 2503.11037

Resource Constrained Pathfinding with A* and Negative Weights

Saman Ahmadi·Andrea Raith·Mahdi Jalili
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Abstract

Constrained pathfinding is a well-studied, yet challenging network optimisation problem that can be seen in a broad range of real-world applications. Pathfinding with multiple resource limits, which is known as the Resource Constrained Shortest Path Problem (RCSP), aims to plan a cost-optimum path subject to limited usage of resources. Given the recent advances in constrained and multi-criteria search with A*, this paper introduces a new resource constrained search framework on the basis of A* to tackle RCSP in large networks, even in the presence of negative cost and negative resources. We empirically evaluate our new algorithm on a set of large instances and show up to two orders of magnitude faster performance compared to state-of-the-art RCSP algorithms in the literature.

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Saman Ahmadi, Andrea Raith, Mahdi Jalili. 2025-03-14. Resource Constrained Pathfinding with A* and Negative Weights. https://doi.org/10.4230/lipics.esa.2025.97

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