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相关论文: PyVRP$^+$: LLM-Driven Metacognitive Heuristic Evol…

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Designing high-performing heuristics for vehicle routing problems (VRPs) is a complex task that requires both intuition and deep domain knowledge. Large language model (LLM)-based code generation has recently shown promise across many…

While large language models (LLMs) are increasingly used as automated heuristic designers for vehicle routing problems (VRPs), current state-of-the-art methods predominantly rely on prompting massive, general-purpose models like GPT-4. This…

机器学习 · 计算机科学 2025-10-14 Rongjie Zhu , Cong Zhang , Zhiguang Cao

The Capacitated Vehicle Routing Problem (CVRP), a fundamental combinatorial optimization challenge, focuses on optimizing fleet operations under vehicle capacity constraints. While extensively studied in operational research, the NP-hard…

人工智能 · 计算机科学 2026-02-27 Zhuoliang Xie , Fei Liu , Zhenkun Wang , Qingfu Zhang

Dynamically configuring algorithm hyperparameters is a fundamental challenge in computational intelligence. While learning-based methods offer automation, they suffer from prohibitive sample complexity and poor generalization. We introduce…

人工智能 · 计算机科学 2026-03-17 Zhenxing Xu , Yizhe Zhang , Weidong Bao , Hao Wang , Ming Chen , Haoran Ye , Wenzheng Jiang , Hui Yan , Ji Wang

The Vehicle Routing Problem (VRP) is a complex optimization problem with numerous real-world applications, mostly solved using metaheuristic algorithms due to its $\mathcal{NP}$-Hard nature. Traditionally, these metaheuristics rely on…

人工智能 · 计算机科学 2025-08-11 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux

The integration of Large Language Models (LLMs) into evolutionary frameworks has established a new paradigm for automated heuristic discovery. Despite their promise, these methods typically search in the discrete space of program syntax,…

人工智能 · 计算机科学 2026-05-19 Cheikh Ahmed , Mahdi Mostajabdaveh , Zirui Zhou

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

Designing effective heuristics for NP-hard combinatorial optimization problems remains challenging and often requires substantial domain expertise. Recent LLM-guided evolutionary methods have shown promise for automated heuristic…

The omnipresence of NP-hard combinatorial optimization problems (COPs) compels domain experts to engage in trial-and-error heuristic design. The long-standing endeavor of design automation has gained new momentum with the rise of large…

神经与进化计算 · 计算机科学 2024-10-15 Haoran Ye , Jiarui Wang , Zhiguang Cao , Federico Berto , Chuanbo Hua , Haeyeon Kim , Jinkyoo Park , Guojie Song

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…

机器学习 · 计算机科学 2025-09-23 Ido Greenberg , Piotr Sielski , Hugo Linsenmaier , Rajesh Gandham , Shie Mannor , Alex Fender , Gal Chechik , Eli Meirom

Automatic Heuristic Design (AHD) is an active research area due to its utility in solving complex search and NP-hard combinatorial optimization problems in the real world. The recent advancements in Large Language Models (LLMs) introduce…

神经与进化计算 · 计算机科学 2024-12-20 Pham Vu Tuan Dat , Long Doan , Huynh Thi Thanh Binh

Manually designing (meta-)heuristics for the Vehicle Routing Problem (VRP) is a challenging task that requires significant domain expertise. Recently, data-driven approaches have emerged as a promising solution, automatically learning…

神经与进化计算 · 计算机科学 2025-05-23 Saining Liu , Yi Mei , Mengjie Zhang

We introduce PyVRP, a Python package that implements hybrid genetic search in a state-of-the-art vehicle routing problem (VRP) solver. The package is designed for the VRP with time windows (VRPTW), but can be easily extended to support…

神经与进化计算 · 计算机科学 2024-03-22 Niels A. Wouda , Leon Lan , Wouter Kool

Learning how to automatically solve optimization problems has the potential to provide the next big leap in optimization technology. The performance of automatically learned heuristics on routing problems has been steadily improving in…

人工智能 · 计算机科学 2020-12-01 André Hottung , Kevin Tierney

This paper presents an approach to learn the local-search heuristics that iteratively improves the solution of Vehicle Routing Problem (VRP). A local-search heuristics is composed of a destroy operator that destructs a candidate solution,…

神经与进化计算 · 计算机科学 2020-02-21 Lei Gao , Mingxiang Chen , Qichang Chen , Ganzhong Luo , Nuoyi Zhu , Zhixin Liu

Metaheuristics are widely employed to solve hard optimization problems, like vehicle routing problems (VRP), for which exact solution methods are impractical. In particular, local search-based metaheuristics have been successfully applied…

最优化与控制 · 数学 2022-04-12 Vinícius R. Máximo , Mariá C. V. Nascimento

The Vehicle Routing Problem (VRP) is one of the most intensively studied combinatorial optimisation problems for which numerous models and algorithms have been proposed. To tackle the complexities, uncertainties and dynamics involved in…

Tackling complex optimization problems often relies on expert-designed heuristics, typically crafted through extensive trial and error. Recent advances demonstrate that large language models (LLMs), when integrated into well-designed…

神经与进化计算 · 计算机科学 2025-05-20 Ziyao Huang , Weiwei Wu , Kui Wu , Jianping Wang , Wei-Bin Lee

We consider a family of Rich Vehicle Routing Problems (RVRP) which have the particularity to combine a heterogeneous fleet with other attributes, such as backhauls, multiple depots, split deliveries, site dependency, open routes, duration…

Heuristic design with large language models (LLMs) has emerged as a promising approach for tackling combinatorial optimization problems (COPs). However, existing approaches often rely on manually predefined evolutionary computation (EC)…

机器学习 · 计算机科学 2026-03-25 Yiding Shi , Jianan Zhou , Wen Song , Jieyi Bi , Yaoxin Wu , Zhiguang Cao , Jie Zhang
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