In this letter, we address the multi-goal path planning problem to determine a cost-efficient path to visit a set of three-dimensional regions. The problem is a variant of the traveling …
We consider the online search problem in which a server starting at the origin of a d- dimensional Euclidean space has to find an arbitrary hyperplane. The best-possible …
Worst-case analysis is a performance measure that is often too pessimistic to indicate which algorithms we should use in practice. A classical example is in the context of the Euclidean …
Given a compact $ E\subset\mathbb {R}^ n $ and $ s> 0$, the maximum distance problem seeks a compact and connected subset of $\mathbb {R}^ n $ of smallest one dimensional …
Abstract We introduce the Observation Route Problem (ORP) defined as follows: Given a set of n pairwise disjoint obstacles (regions) in the plane, find a shortest tour (route) such that an …
A polygon C is an intersecting polygon for a set O of objects in the plane if C intersects each object in O, where the polygon includes its interior. We study the problem of computing the …
We study the variant of the Euclidean Traveling Salesman problem where instead of a set of points, we are given a set of lines as input, and the goal is to find the shortest tour that visits …
F Lin, HP Hsieh - ACM Transactions on Spatial Algorithms and Systems, 2022 - dl.acm.org
Traveling salesman problem (TSP) is one of the most studied combinatorial optimization problems; several exact, heuristic or even learning-based strategies have been proposed to …
A Clark - 2019 IEEE 58th Conference on Decision and Control …, 2019 - ieeexplore.ieee.org
The Traveling Salesman Problem with Neighborhoods (TSPN) is a generalization of the classic Traveling Salesman Problem that consists of finding a minimum-length path that …