The complexity of finding two disjoint paths with min-max objective function
Discrete Applied Mathematics
Robot Motion Planning
Multiple path coordination for mobile robots: a geometric algorithm
IJCAI'99 Proceedings of the 16th international joint conference on Artificial intelligence - Volume 2
Graph decomposition for efficient multi-robot path planning
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Packet routing: complexity and algorithms
WAOA'09 Proceedings of the 7th international conference on Approximation and Online Algorithms
Hi-index | 0.00 |
This paper is a study on the problem of path planning for two robots on a grid. We consider the objective of minimizing the maximum path length which corresponds to minimizing the arrival time of the last robot at its goal position. We propose an optimal algorithm that solves the problem in linear time with respect to the size of the grid. We show that the algorithm is complete; meaning that it is sure to find an optimal solution or report if any does not exist.