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Finding a high-quality feasible solution to a combinatorial optimization (CO) problem in a limited time is challenging due to its discrete nature. Recently, there has been an increasing number of machine learning (ML) methods for addressing…

Optimization and Control · Mathematics 2023-08-02 Taehyun Yoon , Jinwon Choi , Hyokun Yun , Sungbin Lim

Complex vehicle routing problems (VRPs) remain a fundamental challenge, demanding substantial expert effort for intent interpretation and algorithm design. While large language models (LLMs) offer a promising path toward automation, current…

Artificial Intelligence · Computer Science 2026-02-17 Ni Zhang , Zhiguang Cao , Jianan Zhou , Cong Zhang , Yew-Soon Ong

Path planning is a fundamental problem in road networks, with the goal of finding a path that optimizes objectives such as shortest distance or minimal travel time. Existing methods typically use graph indexing to ensure the efficiency of…

Data Structures and Algorithms · Computer Science 2024-12-10 Hanzhang Chen , Xiangzhi Zhang , Shufeng Gong , Feng Yao , Song Yu , Yanfeng Zhang , Ge Yu

We develop a general framework for MAP estimation in discrete and Gaussian graphical models using Lagrangian relaxation techniques. The key idea is to reformulate an intractable estimation problem as one defined on a more tractable graph,…

Artificial Intelligence · Computer Science 2007-10-02 Jason K. Johnson , Dmitry M. Malioutov , Alan S. Willsky

We study a new variant of the well-studied Vehicle Routing Problem with Time Windows (VRPTW), called the fragility-constrained VRPTW, which assumes that 1) the capacity of a vehicle is organized in multiple identical stacks; 2) all items…

Optimization and Control · Mathematics 2021-09-07 Clément Altman , Guy Desaulniers , Fausto Errico

The vehicle routing problem (VRP) is an NP-hard optimization problem that has been an interest of research for decades in science and industry. The objective is to plan routes of vehicles to deliver goods to a fixed number of customers with…

Quantum Physics · Physics 2025-05-08 Nishikanta Mohanty , Bikash K. Behera , Christopher Ferrie

On-demand ride-pooling (e.g., UberPool) has recently become popular because of its ability to lower costs for passengers while simultaneously increasing revenue for drivers and aggregation companies. Unlike in Taxi on Demand (ToD) services…

Computers and Society · Computer Science 2019-11-21 Sanket Shah , Meghna Lowalekar , Pradeep Varakantham

The Capacitated Vehicle Routing Problem with Time Windows (CVRPTW) is a classic NP-hard combinatorial optimization problem widely applied in logistics distribution and transportation management. Its complexity stems from the constraints of…

Machine Learning · Computer Science 2025-07-22 Linjiang Cao , Maonan Wang , Xi Xiong

In recent years, autonomous driving has become a popular field of study. As control at tire grip limit is essential during emergency situations, algorithms developed for racecars are useful for road cars too. This paper examines the use of…

Robotics · Computer Science 2025-04-15 Gergely Bári , László Palkovics

Navigating rigid body objects through crowded environments can be challenging, especially when narrow passages are presented. Existing sampling-based planners and optimization-based methods like mixed integer linear programming (MILP)…

Robotics · Computer Science 2024-09-19 Mingxin Yu , Chuchu Fan

In recent years, reinforcement learning (RL) methods have emerged as a promising approach for solving combinatorial problems. Among RL-based models, POMO has demonstrated strong performance on a variety of tasks, including variants of the…

Artificial Intelligence · Computer Science 2025-08-13 Szymon Jakubicz , Karol Kuźniak , Jan Wawszczak , Paweł Gora

In this paper, we propose a Bi-layer Predictionbased Reduction Branch (BP-RB) framework to speed up the process of finding a high-quality feasible solution for Mixed Integer Programming (MIP) problems. A graph convolutional network (GCN) is…

Optimization and Control · Mathematics 2022-09-28 Lingying Huang , Xiaomeng Chen , Wei Huo , Jiazheng Wang , Fan Zhang , Bo Bai , Ling Shi

Deep reinforcement learning (DRL) has been used to learn effective heuristics for solving complex combinatorial optimisation problem via policy networks and have demonstrated promising performance. Existing works have focused on solving…

Machine Learning · Computer Science 2020-12-25 Nasrin Sultana , Jeffrey Chan , A. K. Qin , Tabinda Sarwar

Generating collision-free motion in dynamic, partially observable environments is a fundamental challenge for robotic manipulators. Classical motion planners can compute globally optimal trajectories but require full environment knowledge…

Robotics · Computer Science 2025-09-09 Jiahui Yang , Jason Jingzhou Liu , Yulong Li , Youssef Khaky , Kenneth Shaw , Deepak Pathak

Neural solvers have achieved impressive progress in addressing simple routing problems, particularly excelling in computational efficiency. However, their advantages under complex constraints remain nascent, for which current…

Artificial Intelligence · Computer Science 2026-02-19 Jieyi Bi , Zhiguang Cao , Jianan Zhou , Wen Song , Yaoxin Wu , Jie Zhang , Yining Ma , Cathy Wu

This paper studies robust variants of an extended model of the classical Heterogeneous Vehicle Routing Problem (HVRP), where a mixed fleet of vehicles with different capacities, availabilities, fixed costs and routing costs is used to serve…

Optimization and Control · Mathematics 2018-10-19 Anirudh Subramanyam , Panagiotis P. Repoussis , Chrysanthos E. Gounaris

Safety certification of data-driven control techniques remains a major open problem. This work investigates backward reachability as a framework for providing collision avoidance guarantees for systems controlled by neural network (NN)…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Michael Everett , Rudy Bunel , Shayegan Omidshafiei

We present new models of optimization-based task and motion planning (TAMP) for robotic pick-and-place (P&P), which plan action sequences and motion trajectory with low computational costs. We improved an existing state-of-the-art TAMP…

Robotics · Computer Science 2022-01-24 Takuma Kogo , Kei Takaya , Hiroyuki Oyama

Conflict-Free Vehicle Routing Problems (CF-VRPs) arise in manufacturing, transportation and logistics facilities where Automated Guided Vehicles (AGVs) are utilized to move loads. Unlike \textit{Vehicle Routing Problems} arising in…

Optimization and Control · Mathematics 2024-06-28 Tommaso Adamo , Gianpaolo Ghiani , Emanuela Guerriero

We study the Compositional Geometry Routing Problem (CGRP), a unified superclass of traditional routing problems that covers point-only, line-only, area-only, and arbitrary hybrid task geometries, providing a broad abstraction for…

Artificial Intelligence · Computer Science 2026-05-19 Mingfeng Fan , Jianan Zhou , Jiaqi Cheng , Yifeng Zhang , Jie Zhang , Guillaume Adrien Sartoretti