cost-minimal path
Learning to Resolve Conflicts for Multi-Agent Path Finding with Conflict-Based Search
Huang, Taoan, Dilkina, Bistra, Koenig, Sven
Conflict-Based Search (CBS) is a state-of-the-art algorithm for multi-agent path finding. At the high level, CBS repeatedly detects conflicts and resolves one of them by splitting the current problem into two subproblems. Previous work chooses the conflict to resolve by categorizing the conflict into three classes and always picking a conflict from the highest-priority class. In this work, we propose an oracle for conflict selection that results in smaller search tree sizes than the one used in previous work. However, the computation of the oracle is slow. Thus, we propose a machine-learning framework for conflict selection that observes the decisions made by the oracle and learns a conflict-selection strategy represented by a linear ranking function that imitates the oracle's decisions accurately and quickly. Experiments on benchmark maps indicate that our method significantly improves the success rates, the search tree sizes and runtimes over the current state-of-the-art CBS solver.
Improved Heuristics for Multi-Agent Path Finding with Conflict-Based Search: Preliminary Results
Li, Jiaoyang (University of Southern California) | Boyarski, Eli (Ben-Gurion University of the Negev) | Felner, Ariel (Ben-Gurion University of the Negev) | Ma, Hang (University of Southern California) | Koenig, Sven (University of Southern California)
Conflict-Based Search (CBS) and its enhancements are among the strongest algorithms for Multi-Agent Pathfinding. Recent work introduced an admissible heuristic to guide the high-level search of CBS. In this work, we prove the limitation of this heuristic, as it is based on cardinal conflicts only. We then introduce two new admissible heuristics by reasoning about the pairwise dependency between agents. Empirically, CBS with both new heuristics significantly improves the success rate over CBS with the recent heuristic and reduces the number of expanded nodes and runtime by up to a factor of 50, yielding a new state-of-the-art CBS-based algorithm.
Path-Adaptive A* for Incremental Heuristic Search in Unknown Terrain
Hernandez, Carlos (Universidad Católica de la Smma. Concepción) | Meseguer, Pedro (Institute d'Investigacio) | Sun, Xiaoxun (University of Southern California) | Koenig, Sven (University of Southern California)
Adaptive A* is an incremental version of A* that updates the h-values of the previous A* search to make them more informed and thus future A* searches more focused. In this paper, we show how the A* searches performed by Adaptive A* can reuse part of the path of the previous search and terminate before they expand a goal state, resulting in Path-Adaptive A*. We demonstrate experimentally that Path-Adaptive A* expands fewer states per search and runs faster than Adaptive A* when solving path-planning problems in initially unknown terrain.