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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…

We study the vehicle routing problem with time windows (VRPTW) and stochastic travel times, in which the decision-maker observes related contextual information, represented as feature variables, before making routing decisions. Despite the…

Machine Learning · Computer Science 2024-02-13 Breno Serrano , Alexandre M. Florio , Stefan Minner , Maximilian Schiffer , Thibaut Vidal

We investigate the capacitated vehicle routing problem (CVRP) under a robotics context, where a vehicle with limited payload must complete delivery (or pickup) tasks to serve a set of geographically distributed customers with varying…

Robotics · Computer Science 2021-07-27 Kai Gao , Jingjin Yu

Handling long tail corner cases is a major challenge faced by autonomous vehicles (AVs). While large language models (LLMs) hold great potentials to handle the corner cases with excellent generalization and explanation capabilities and…

Artificial Intelligence · Computer Science 2024-07-25 Zuoyin Tang , Jianhua He , Dashuai Pei , Kezhong Liu , Tao Gao

We propose an automata-theoretic approach for reinforcement learning (RL) under complex spatio-temporal constraints with time windows. The problem is formulated using a Markov decision process under a bounded temporal logic constraint.…

Artificial Intelligence · Computer Science 2023-08-01 Xiaoshan Lin , Abbasali Koochakzadeh , Yasin Yazicioglu , Derya Aksaray

We present an optimization strategy to reduce the execution time of liquid handling operations in the context of an automated chemical laboratory. By formulating the task as a capacitated vehicle routing problem (CVRP), we leverage…

Optimization and Control · Mathematics 2025-06-04 Guangqi Wu , Runzhong Wang , Connor W. Coley

Real-world Vehicle Routing Problems (VRPs) are characterized by a variety of practical constraints, making manual solver design both knowledge-intensive and time-consuming. Although there is increasing interest in automating the design of…

Artificial Intelligence · Computer Science 2025-05-20 Kai Li , Fei Liu , Zhenkun Wang , Xialiang Tong , Xiongwei Han , Mingxuan Yuan , Qingfu Zhang

Routing problems are common in mobile robotics, encompassing tasks such as inspection, surveillance, and coverage. Depending on the objective and constraints, these problems often reduce to variants of the Traveling Salesman Problem (TSP),…

Computation and Language · Computer Science 2024-08-08 Zhehui Huang , Guangyao Shi , Gaurav S. Sukhatme

In complex engineering systems, the dependencies among components or development activities are often modeled and analyzed using Design Structure Matrix (DSM). Reorganizing elements within a DSM to minimize feedback loops and enhance…

Computational Engineering, Finance, and Science · Computer Science 2026-04-07 Shuo Jiang , Min Xie , Jianxi Luo

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

Efficiently solving a vehicle routing problem (VRP) in a practical runtime is a critical challenge for delivery management companies. This paper explores both a theoretical and experimental connection between the Capacitated Vehicle Routing…

Optimization and Control · Mathematics 2024-03-22 Abdelhakim Abdellaoui , Loubna Benabbou , Issmail El Hallaoui

Large Language Model (LLM) serving systems must balance task performance against monetary cost. Two prominent optimization techniques have emerged independently: LLM routing, which directs each query to the most cost-effective model in a…

Databases · Computer Science 2026-05-28 Haotian Xu , Kangfei Zhao , Jiadong Xie

Explosive demands for LLMs often cause user queries to accumulate in server queues, requiring efficient routing (query-LLM matching) and scheduling (query prioritization) mechanisms. Several online algorithms are being deployed, but they…

Machine Learning · Computer Science 2026-02-03 Seoungbin Bae , Junyoung Son , Dabeen Lee

Training large language models (LLMs) requires substantial compute and energy. At the same time, renewable energy sources regularly produce more electricity than the grid can absorb, leading to curtailment, the deliberate reduction of clean…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-27 Philipp Wiesner , Soeren Becker , Brett Cornick , Dominik Scheinert , Alexander Acker , Odej Kao

When applied to processing long text, Large Language Models (LLMs) are limited by their context window. Existing efforts to address this limitation involve training specialized architectures, and cannot be easily applied to off-the-shelf…

Computation and Language · Computer Science 2023-08-02 Nir Ratner , Yoav Levine , Yonatan Belinkov , Ori Ram , Inbal Magar , Omri Abend , Ehud Karpas , Amnon Shashua , Kevin Leyton-Brown , Yoav Shoham

Learning heuristics for vehicle routing problems (VRPs) has gained much attention due to the less reliance on hand-crafted rules. However, existing methods are typically trained and tested on the same task with a fixed size and distribution…

Machine Learning · Computer Science 2023-06-21 Jianan Zhou , Yaoxin Wu , Wen Song , Zhiguang Cao , Jie Zhang

Reinforcement learning with verifiable rewards (RLVR) has become a trending paradigm for training reasoning large language models (LLMs). However, due to the autoregressive decoding nature of LLMs, the rollout process becomes the efficiency…

Machine Learning · Computer Science 2026-02-17 Yuhang Li , Reena Elangovan , Xin Dong , Priyadarshini Panda , Brucek Khailany

The Vehicle Routing Problem (VRP) is the combinatorial optimization problem of designing routes for vehicles to visit customers in such a fashion that a cost function, typically the number of vehicles, or the total travelled distance is…

Artificial Intelligence · Computer Science 2021-07-01 Sabino Francesco Roselli , Martin Fabian , Knut Åkesson

The Vehicle Routing Problem with Simultaneous Pickup-Delivery and Time Windows (VRPSPDTW) has attracted much research interest in the last decade, due to its wide application in modern logistics. Since VRPSPDTW is NP-hard and exact methods…

Neural and Evolutionary Computing · Computer Science 2021-06-09 Shengcai Liu , Ke Tang , Xin Yao

The vehicle routing problem (VRP) is a fundamental NP-hard task in intelligent transportation systems with broad applications in logistics and distribution. Deep reinforcement learning (DRL) with Graph Neural Networks (GNNs) has shown…

Machine Learning · Computer Science 2025-11-20 Le Tung Giang , Vu Hoang Viet , Nguyen Xuan Tung , Trinh Van Chien , Won-Joo Hwang
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