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Many real-world problems can be reduced to combinatorial optimization on a graph, where the subset or ordering of vertices that maximize some objective function must be found. With such tasks often NP-hard and analytically intractable,…

Machine Learning · Computer Science 2021-03-22 Thomas D. Barrett , William R. Clements , Jakob N. Foerster , A. I. Lvovsky

Data-driven approaches have been proven effective in solving combinatorial optimization problems over graphs such as the traveling salesman problems and the vehicle routing problem. The rationale behind such methods is that the input…

Artificial Intelligence · Computer Science 2023-08-08 Mina Samizadeh , Guangmo Tong

Dominating Set is a well-known combinatorial optimization problem which finds application in computational biology or mobile communication. Because of its $\mathrm{NP}$-hardness, one often turns to heuristics for good solutions. Many such…

Data Structures and Algorithms · Computer Science 2026-01-21 Hendrik Higl

Computing high-quality independent sets quickly is an important problem in combinatorial optimization. Several recent algorithms have shown that kernelization techniques can be used to find exact maximum independent sets in medium-sized…

Data Structures and Algorithms · Computer Science 2016-02-05 Jakob Dahlum , Sebastian Lamm , Peter Sanders , Christian Schulz , Darren Strash , Renato F. Werneck

This paper proposes a new framework for providing approximation guarantees of local search algorithms. Local search is a basic algorithm design technique and is widely used for various combinatorial optimization problems. To analyze local…

Data Structures and Algorithms · Computer Science 2020-06-03 Kaito Fujii

We study the problem of selecting a fleet of robots to service spatially distributed tasks with diverse requirements within time-windows. The problem of allocating tasks to a fleet of potentially heterogeneous robots and finding an optimal…

Robotics · Computer Science 2023-12-13 Nils Wilde , Javier Alonso-Mora

The NP-hard problem of optimizing a shallow ReLU network can be characterized as a combinatorial search over each training example's activation pattern followed by a constrained convex problem given a fixed set of activation patterns. We…

Machine Learning · Computer Science 2022-10-04 Michael Matena , Colin Raffel

The vehicle routing problem is a well known class of NP-hard combinatorial optimisation problems in literature. Traditional solution methods involve either carefully designed heuristics, or time-consuming metaheuristics. Recent work in…

Artificial Intelligence · Computer Science 2022-06-15 Harshad Khadilkar

This paper outlines the ideas behind developing a graph-based heuristic-driven routing algorithm designed for a particular instance of a goods transportation problem with a single good type. The proposed algorithm solves the optimization…

Artificial Intelligence · Computer Science 2021-02-16 Mikhail Shchukin , Aymen Ben Said , Andre Lobo Teixeira

In this study, we propose a reinforcement learning-based adaptive variable neighborhood search (RL-AVNS) method designed for effectively solving the Vehicle Routing Problem with Multiple Time Windows (VRPMTW). Unlike traditional adaptive…

Machine Learning · Computer Science 2025-05-30 Kuan Xu , Zhiguang Cao , Chenlong Zheng , Linong Liu

This research proposes a hybrid Machine Learning and metaheuristic mechanism that is designed to solve Vehicle Routing Problems (VRPs). The main of our method is an edge solution selector model, which classifies solution edges to identify…

Machine Learning · Computer Science 2025-08-21 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux , Daniele Vigo

Multi-Agent Path Finding (MAPF) aims to arrange collision-free goal-reaching paths for a group of agents. Anytime MAPF solvers based on large neighborhood search (LNS) have gained prominence recently due to their flexibility and…

Robotics · Computer Science 2025-05-30 Jiaqi Tan , Yudong Luo , Jiaoyang Li , Hang Ma

We propose an iterated local search based on several classes of local and large neighborhoods for the bin packing problem with conflicts. This problem, which combines the characteristics of both bin packing and vertex coloring, arises in…

Data Structures and Algorithms · Computer Science 2017-05-25 Renatha Capua , Yuri Frota , Luiz Satoru Ochi , Thibaut Vidal

We present a novel neural architecture to solve graph optimization problems where the solution consists of arbitrary node labels, allowing us to solve hard problems like graph coloring. We train our model using reinforcement learning,…

Machine Learning · Computer Science 2022-05-11 Lukas Gianinazzi , Maximilian Fries , Nikoli Dryden , Tal Ben-Nun , Maciej Besta , Torsten Hoefler

We propose a fully differentiable architecture for simultaneous semantic and instance segmentation (a.k.a. panoptic segmentation) consisting of a convolutional neural network and an asymmetric multiway cut problem solver. The latter solves…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Ahmed Abbas , Paul Swoboda

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

Data Structures and Algorithms · Computer Science 2015-04-27 Viswanath Nagarajan , Cong Shi

Rental-based business models and increasing sustainability requirements intensify the need for efficient strategies to manage large machine and vehicle fleet renewal and upgrades. Optimized fleet upgrade strategies maximize overall utility,…

Optimization and Control · Mathematics 2025-08-11 Kenrick Howin Chai , Stefan Hildebrand , Tobias Lachnit , Martin Benfer , Gisela Lanza , Sandra Klinge

We present a navigation system that combines ideas from hierarchical planning and machine learning. The system uses a traditional global planner to compute optimal paths towards a goal, and a deep local trajectory planner and velocity…

Autonomous shipping has recently gained much interest in the research community. However, little research focuses on inland - and port navigation, even though this is identified by countries such as Belgium and the Netherlands as an…

We study regenerative stopping problems in which the system starts anew whenever the controller decides to stop and the long-term average cost is to be minimized. Traditional model-based solutions involve estimating the underlying process…

Machine Learning · Computer Science 2021-05-07 Kishor Jothimurugan , Matthew Andrews , Jeongran Lee , Lorenzo Maggi