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The Multi-Commodity Pickup and Delivery Vehicle Routing Problem aims to optimize the pickup and delivery of multiple unique commodities using a fleet of several agents with limited payload capacities. This paper addresses the challenge of…

系统与控制 · 电气工程与系统科学 2024-07-30 Mithun Goutham , Stephanie Stockar

Combinatorial Optimization (CO) has been a long-standing challenging research topic featured by its NP-hard nature. Traditionally such problems are approximately solved with heuristic algorithms which are usually fast but may sacrifice the…

机器学习 · 计算机科学 2021-10-26 Runzhong Wang , Zhigang Hua , Gan Liu , Jiayi Zhang , Junchi Yan , Feng Qi , Shuang Yang , Jun Zhou , Xiaokang Yang

The Capacitated Vehicle Routing Problem (CVRP) is a fundamental NP-hard problem in logistics. Augmented Lagrangian Methods (ALM) for solving CVRP performance depends heavily on well-tuned penalty parameters. In this paper, we propose a…

物理与社会 · 物理学 2025-09-22 Monit Sharma , Hoong Chuin Lau

Mixed-Integer Programs (MIPs) are NP-hard optimization models that arise in a broad range of decision-making applications, including finance, logistics, energy systems, and network design. Although modern commercial solvers have achieved…

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…

机器学习 · 计算机科学 2020-11-13 Michal Lisicki , Arash Afkanpour , Graham W. Taylor

Combinatorial optimization (CO) is the fundamental problem at the intersection of computer science, applied mathematics, etc. The inherent hardness in CO problems brings up challenge for solving CO exactly, making deep-neural-network-based…

机器学习 · 计算机科学 2024-10-02 Runzhong Wang , Yang Li , Junchi Yan , Xiaokang Yang

We introduce a transparent, encoding-agnostic framework for determining when the Capacitated Vehicle Routing Problem (CVRP) can achieve early quantum advantage. Our analysis shows this is unlikely on noisy intermediate scale quantum (NISQ)…

量子物理 · 物理学 2026-05-20 Chinonso Onah , Kristel Michielsen

We propose a hierarchical quantum approximate optimization framework for solving large-scale Vehicle Routing Problems (VRP) using Quantum Approximate Optimization Algorithm (QAOA). The method decomposes a VRP instance into balanced clusters…

量子物理 · 物理学 2026-05-12 Shreetam Dash , Shreya Banerjee , Prasanta K. Panigrahi

Machine Learning (ML) can help solve combinatorial optimization (CO) problems better. A popular approach is to use a neural net to compute on the parameters of a given CO problem and extract useful information that guides the search for…

机器学习 · 计算机科学 2021-10-27 Yeong-Dae Kwon , Jinho Choo , Iljoo Yoon , Minah Park , Duwon Park , Youngjune Gwon

Many robotics problems, from robot motion planning to object manipulation, can be modeled as mixed-integer convex programs (MICPs). However, state-of-the-art algorithms are still unable to solve MICPs for control problems quickly enough for…

机器人学 · 计算机科学 2021-07-20 A. Cauligi , P. Culbertson , E. Schmerling , M. Schwager , B. Stellato , M. Pavone

Vehicle routing problems (VRPs) are central to combinatorial optimization with significant practical implications. Recent advancements in neural combinatorial optimization (NCO) have demonstrated promising results by leveraging neural…

机器学习 · 计算机科学 2025-07-08 Han Li , Fei Liu , Zhenkun Wang , Qingfu Zhang

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…

人工智能 · 计算机科学 2024-06-19 Yifan Xia , Xiangyi Zhang

When vehicle routing decisions are intertwined with higher-level decisions, the resulting optimization problems pose significant challenges for computation. Examples are the multi-depot vehicle routing problem (MDVRP), where customers are…

神经与进化计算 · 计算机科学 2024-09-10 Abhay Sobhanan , Junyoung Park , Jinkyoo Park , Changhyun Kwon

Multi-vehicle trajectory planning (MVTP) is one of the key challenges in multi-robot systems (MRSs) and has broad applications across various fields. This paper presents ESCoT, an enhanced step-based coordinate trajectory planning method…

机器人学 · 计算机科学 2025-08-14 Junkai Jiang , Yihe Chen , Yibin Yang , Ruochen Li , Shaobing Xu , Jianqiang Wang

Routing problems are a common optimization problem in industrial applications, which occur on a large scale in supply chain planning. Due to classical limitations for solving NP-hard problems, quantum computing hopes to improve upon speed…

Quantum computing and machine learning have potential for symbiosis. However, in addition to the hardware limitations from current devices, there are still basic issues that must be addressed before quantum circuits can usefully incorporate…

量子物理 · 物理学 2022-06-15 Fabio Sanches , Sean Weinberg , Takanori Ide , Kazumitsu Kamiya

Multi-agent coordination is crucial for reliable multi-robot navigation in shared spaces such as automated warehouses. In regions of dense robot traffic, local coordination methods may fail to find a deadlock-free solution. In these…

机器人学 · 计算机科学 2025-03-06 Yue Meng , Nathalie Majcherczyk , Wenliang Liu , Scott Kiesel , Chuchu Fan , Federico Pecora

Multi-depot vehicle routing problems (MDVRPs) are prevalent in a variety of practical applications. However, they are computationally challenging to solve due to their inherent complexity. This paper proposes an effective hybrid algorithm…

机器人学 · 计算机科学 2026-05-08 Zhenyu Lei , Jin-Kao Hao

Optical camera communications (OCC) has emerged as a key enabling technology for the seamless operation of future autonomous vehicles. In this paper, we introduce a spectral efficiency optimization approach in vehicular OCC. Specifically,…

机器学习 · 计算机科学 2022-05-06 Amirul Islam , Leila Musavian , Nikolaos Thomos

Research on Reinforcement Learning (RL) approaches for discrete optimization problems has increased considerably, extending RL to areas classically dominated by Operations Research (OR). Vehicle routing problems are a good example of…

机器学习 · 计算机科学 2026-04-07 Ricardo Gama , Ricardo Cunha , Daniel Fuertes , Carlos R. del-Blanco , Hugo L. Fernandes