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Graph neural networks (GNNs) have emerged as a powerful tool for solving combinatorial optimization problems (COPs), exhibiting state-of-the-art performance in both graph-structured and non-graph-structured domains. However, existing…

Artificial Intelligence · Computer Science 2024-06-21 Yaochu Jin , Xueming Yan , Shiqing Liu , Xiangyu Wang

The Container Relocation Problem (CRP) is concerned with finding a sequence of moves of containers that minimizes the number of relocations needed to retrieve all containers respecting a given order of retrieval. While the problem is known…

Data Structures and Algorithms · Computer Science 2015-10-08 Setareh Borjian , Virgile Galle , Vahideh H. Manshadi , Cynthia Barnhart , Patrick Jaillet

Robust optimization is a widely studied area in operations research, where the algorithm takes as input a range of values and outputs a single solution that performs well for the entire range. Specifically, a robust algorithm aims to…

Data Structures and Algorithms · Computer Science 2020-05-19 Arun Ganesh , Bruce M. Maggs , Debmalya Panigrahi

Moving an autonomous agent through an unknown environment is one of the crucial problems for robotics and network analysis. Therefore, it received a lot of attention in the last decades and was analyzed in many different settings. The graph…

Computational Complexity · Computer Science 2018-04-23 Hans-Joachim Böckenhauer , Janosch Fuchs , Walter Unger

In this paper we present a method for automatically planning robust optimal paths for a group of robots that satisfy a common high level mission specification. Each robot's motion in the environment is modeled as a weighted transition…

Robotics · Computer Science 2015-03-13 Alphan Ulusoy , Stephen L. Smith , Xu Chu Ding , Calin Belta

We introduce COPT, a novel distance metric between graphs defined via an optimization routine, computing a coordinated pair of optimal transport maps simultaneously. This gives an unsupervised way to learn general-purpose graph…

Machine Learning · Computer Science 2021-01-01 Yihe Dong , Will Sawin

This paper aims to solve the coordination of a team of robots traversing a route in the presence of adversaries with random positions. Our goal is to minimize the overall cost of the team, which is determined by (i) the accumulated risk…

Robotics · Computer Science 2024-08-22 Zechen Hu , Manshi Limbu , Daigo Shishika , Xuesu Xiao , Xuan Wang

The Ordered Covering Problem (OCP) arises in the context of the Discretizable Molecular Distance Geometry Problem (DMDGP), where the ordering of pruning edges significantly impacts the performance of the SBBU algorithm for protein structure…

Data Structures and Algorithms · Computer Science 2025-12-04 Michael Souza , Júlio Araújo , John Kesley Costa , Carlile Lavor

The line coverage problem involves finding efficient routes for the coverage of linear features by one or more resource-constrained robots. Linear features model environments like road networks, power lines, and oil and gas pipelines. Two…

Robotics · Computer Science 2024-01-02 Saurav Agarwal , Srinivas Akella

We consider the problem of learning a causal graph over a set of variables with interventions. We study the cost-optimal causal graph learning problem: For a given skeleton (undirected version of the causal graph), design the set of…

Artificial Intelligence · Computer Science 2017-03-09 Murat Kocaoglu , Alexandros G. Dimakis , Sriram Vishwanath

We consider a vehicle routing problem which seeks to minimize cost subject to service level constraints on several groups of deliveries. This problem captures some essential challenges faced by a logistics provider which operates…

Optimization and Control · Mathematics 2017-06-13 Teobaldo Bulhões , Minh Hoàng Hà , Rafael Martinelli , Thibaut Vidal

The vehicle routing problem with two-dimensional loading constraints (2L-CVRP) and the last-in-first-out (LIFO) rule presents significant practical and algorithmic challenges. While numerous heuristic approaches have been proposed to…

Artificial Intelligence · Computer Science 2024-06-19 Yifan Xia , Xiangyi Zhang

This paper studies the time-optimal path tracking problem for a team of cooperating robotic manipulators carrying an object. Considering the problem for rigidly grasped objects, we show that it can be cast as a convex optimization problem…

Robotics · Computer Science 2023-03-14 Hamed Haghshenas , Anders Hansson , Mikael Norrlöf

In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, but solvable in linear time on this type of graphs. The…

Data Structures and Algorithms · Computer Science 2012-12-18 Mugurel Ionut Andreica

We study the problem of multi-robot active mapping, which aims for complete scene map construction in minimum time steps. The key to this problem lies in the goal position estimation to enable more efficient robot movements. Previous…

Computer Vision and Pattern Recognition · Computer Science 2022-04-04 Kai Ye , Siyan Dong , Qingnan Fan , He Wang , Li Yi , Fei Xia , Jue Wang , Baoquan Chen

We propose an approach to solve multi-agent path planning (MPP) problems for complex environments. Our method first designs a special pebble graph with a set of feasibility constraints, under which MPP problems have feasibility guarantee.…

Robotics · Computer Science 2021-08-10 Xifeng Gao , Zherong Pan , Ruiqi Ni

We study the Universal Solvability of Robot Motion Planning on Graphs (USolR) problem: given an undirected graph $G = (V, E)$ and $p$ robots, determine whether any arbitrary configuration of the robots can be transformed into any other…

Computational Complexity · Computer Science 2026-02-10 Anubhav Dhar , Pranav Nyati , Tanishq Prasad , Ashlesha Hota , Sudeshna Kolay

In this paper, we propose a general graph optimization based framework for localization, which can accommodate different types of measurements with varying measurement time intervals. Special emphasis will be on range-based localization.…

Robotics · Computer Science 2020-01-27 Xu Fang , Chen Wang , Thien-Minh Nguyen , Lihua Xie

Coverage path planning in a generic known environment is shown to be NP-hard. When the environment is unknown, it becomes more challenging as the robot is required to rely on its online map information built during coverage for planning its…

Robotics · Computer Science 2021-10-19 Javad Heydari , Olimpiya Saha , Viswanath Ganapathy

Combinatorial optimization problems (COPs) with discrete variables and finite search space are critical across numerous fields, and solving them in metaheuristic algorithms is popular. However, addressing a specific COP typically requires…

Neural and Evolutionary Computing · Computer Science 2026-03-03 Aijuan Song , Guohua Wu