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This paper introduces the Random-Key Optimizer (RKO), a versatile and efficient stochastic local search method tailored for combinatorial optimization problems. Using the random-key concept, RKO encodes solutions as vectors of random keys…

Simulation-based optimization (SO or SBO) has become increasingly important to address challenging transportation network design problems. In this paper, we propose to solve two toll pricing problems with different levels of complexity…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Ziyuan Gu , Meead Saberi

Neural Combinatorial Optimization (NCO) is an emerging domain where deep learning techniques are employed to address combinatorial optimization problems as a standalone solver. Despite their potential, existing NCO methods often suffer from…

Neural and Evolutionary Computing · Computer Science 2024-08-06 Andoni I. Garmendia , Quentin Cappart , Josu Ceberio , Alexander Mendiburu

Vehicle Routing Problems (VRP) are an extension of the Traveling Salesperson Problem and are a fundamental NP-hard challenge in combinatorial optimization. Solving VRP in real-time at large scale has become critical in numerous…

Machine Learning · Computer Science 2025-09-23 Ido Greenberg , Piotr Sielski , Hugo Linsenmaier , Rajesh Gandham , Shie Mannor , Alex Fender , Gal Chechik , Eli Meirom

This paper introduces a new algorithm for trajectory optimization, Decoupled Reduced-space and Adaptive Feasibility-repair Trajectory Optimization (DRAFTO). It first constructs a constrained objective that accounts for smoothness, safety,…

Robotics · Computer Science 2026-03-13 Yichang Feng , Xiao Liang , Minghui Zheng

Combinatorial optimization serves as an essential part in many modern industrial applications. A great number of the problems are offline setting due to safety and/or cost issues. While simulation-based approaches appear difficult to…

Machine Learning · Computer Science 2020-07-21 Wenpeng Wei , Toshiko Aizono

This paper introduces a novel approach for robot navigation in challenging dynamic environments. The proposed method builds upon the concept of Velocity Obstacles (VO) that was later extended to Nonlinear Velocity Obstacles (NLVO) to…

Robotics · Computer Science 2025-06-09 Asher Stern , Zvi Shiller

Many relevant problems in industrial settings result in NP-hard optimization problems, such as the Capacitated Vehicle Routing Problem (CVRP) or its reduced variant, the Travelling Salesperson Problem (TSP). Even with today's most powerful…

Neural Combinatorial Optimization aims to learn to solve a class of combinatorial problems through data-driven methods and notably through employing neural networks by learning the underlying distribution of problem instances. While, so far…

Machine Learning · Computer Science 2025-08-05 Daniela Thyssens , Tim Dernedde , Wilson Sentanoe , Lars Schmidt-Thieme

The Vehicle Routing Problem (VRP) is an example of a combinatorial optimization problem that has attracted academic attention due to its potential use in various contexts. VRP aims to arrange vehicle deliveries to several sites in the most…

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

Recent years have witnessed significant progress in autonomous navigation using reinforcement learning. However, existing approaches largely emphasize reinforcement learning framework design, such as input representations, action spaces,…

Robotics · Computer Science 2026-05-18 Zhefan Xu , Hanyu Jin , Kenji Shimada

Recent neural heuristics for the Vehicle Routing Problem (VRP) primarily rely on node coordinates as input, which may be less effective in practical scenarios where real cost metrics-such as edge-based distances-are more relevant. To…

Machine Learning · Computer Science 2025-06-23 Dian Meng , Zhiguang Cao , Yaoxin Wu , Yaqing Hou , Hongwei Ge , Qiang Zhang

Distance-based reward mechanisms in deep reinforcement learning (DRL) navigation systems suffer from critical safety limitations in dynamic environments, frequently resulting in collisions when visibility is restricted. We propose DRL-NSUO,…

Robotics · Computer Science 2025-03-04 Mingao Tan , Shanze Wang , Biao Huang , Zhibo Yang , Rongfei Chen , Xiaoyu Shen , Wei Zhang

Robust routing under uncertainty is central to real-world logistics, yet most benchmarks assume static, idealized settings. We present SVRPBench, the first open benchmark to capture high-fidelity stochastic dynamics in vehicle routing at…

Artificial Intelligence · Computer Science 2025-05-30 Ahmed Heakl , Yahia Salaheldin Shaaban , Martin Takac , Salem Lahlou , Zangir Iklassov

Combinatorial optimization problems (COPs) on the graph with real-life applications are canonical challenges in Computer Science. The difficulty of finding quality labels for problem instances holds back leveraging supervised learning…

Machine Learning · Computer Science 2021-08-10 Mostafa Pashazadeh , Kui Wu

We present a two-level decomposition strategy for solving the Vehicle Routing Problem (VRP) using the Quantum Approximate Optimization Algorithm. A Problem-Level Decomposition partitions a 13-node (156-qubit) VRP into smaller Traveling…

Quantum Physics · Physics 2025-07-09 Andrew Maciejunes , John Stenger , Dan Gunlycke , Nikos Chrisochoides

Graph combinatorial optimization (GCO) has attracted growing interest, as many NP-hard problems naturally admit graph formulations, yet their combinatorial explosion renders exact methods computationally intractable. Recent advances in…

Artificial Intelligence · Computer Science 2026-05-20 Franco Terranova , Guillermo Bernardez , Albert Cabellos-Aparicio , Nina Miolane , Abdelkader Lahmadi

Neural Combinatorial Optimization has been researched actively in the last eight years. Even though many of the proposed Machine Learning based approaches are compared on the same datasets, the evaluation protocol exhibits essential flaws…

Machine Learning · Computer Science 2023-10-09 Daniela Thyssens , Tim Dernedde , Jonas K. Falkner , Lars Schmidt-Thieme

Ready Mixed Concrete Delivery Problem (RMCDP) is a multi-objective multi-constraint dynamic combinatorial optimization problem. From the operational research prospective, it is a real life logistic problem that is hard to be solved with…

Data Structures and Algorithms · Computer Science 2018-10-29 Mohamed Masoud , Saeid Belkasim

Neural combinatorial optimization (NCO) aims at designing problem-independent and efficient neural network-based strategies for solving combinatorial problems. The field recently experienced growth by successfully adapting architectures…

Machine Learning · Computer Science 2020-11-13 Michal Lisicki , Arash Afkanpour , Graham W. Taylor