A concise guide to existing and emerging vehicle routing problem variants
Not on the map. Why?
Abstract (arXiv)
Vehicle routing problems have been the focus of extensive research over the past sixty years, driven by their economic importance and their theoretical interest. The diversity of applications has motivated the study of a myriad of problem variants with different attributes. In this article, we provide a concise overview of existing and emerging problem variants. Models are typically refined along three lines: considering more relevant objectives and performance metrics, integrating vehicle routing evaluations with other tactical decisions, and capturing fine-grained yet essential aspects of modern supply chains. We organize the main problem attributes within this structured framework. We discuss recent research directions and pinpoint current shortcomings, recent successes, and emerging challenges.
Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). First posted on arXiv 16 Jun 2019.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2021: 2; 2022: 1; 2023: 3; 2024: 3; 2025: 5; 2026: 3.
17 papers.
Sort:
By area:
- 2024Multi-Task Learning for Routing Problem with Cross-Problem Zero-Shot Generalizationcited by 49
- 2021Analytics and Machine Learning in Vehicle Routing Researchcited by 22
- 2021An Overview and Experimental Study of Learning-based Optimization Algorithms for Vehicle Routing Problemcited by 22
- 2023Learning-based Online Optimization for Autonomous Mobility-on-Demand Fleet Controlcited by 14
- 2025BOPO: Neural Combinatorial Optimization via Best-anchored and Objective-guided Preference Optimizationcited by 14
- 2023Combinatorial Optimization enriched Machine Learning to solve the Dynamic Vehicle Routing Problem with Time Windowscited by 10
- 2022Neural Networks for Local Search and Crossover in Vehicle Routing: A Possible Overkill?cited by 6
- 2024Spatial-temporal-demand clustering for solving large-scale vehicle routing problems with time windowscited by 2
- 2026Chain-of-Context Learning: Dynamic Constraint Understanding for Multi-Task VRPscited by 2
- 2024Learning to Deliver: a Foundation Model for the Montreal Capacitated Vehicle Routing Problemcited by 1
- 2025End-to-end Deep Reinforcement Learning for Stochastic Multi-objective Optimization in C-VRPTWcited by 1
- 2026Vision-Assisted Foundation Model for Solving Multi-Task Vehicle Routing Problemscited by 1
5 more
- 2023Towards Practical Multi-Robot Hybrid Tasks Allocation for Autonomous Cleaningcited by 0
- 2025Instance space analysis of the capacitated vehicle routing problemcited by 0
- 2025POMO+: Leveraging starting nodes in POMO for solving Capacitated Vehicle Routing Problemcited by 0
- 2025A Branch-and-Price Algorithm for Fast and Equitable Last-Mile Relief Aid Distributioncited by 0
- 2026LaT: LLM-as-Trainer for Multi-Task Vehicle Routing Solverscited by 0
- 2026LaT: LLM-as-Trainer for Multi-Task Vehicle Routing Solvers20 Jul 2026
- 2026Vision-Assisted Foundation Model for Solving Multi-Task Vehicle Routing Problems9 Jun 2026
- 2026Chain-of-Context Learning: Dynamic Constraint Understanding for Multi-Task VRPs2 Mar 2026
- 2025A Branch-and-Price Algorithm for Fast and Equitable Last-Mile Relief Aid Distribution22 Dec 2025
- 2025End-to-end Deep Reinforcement Learning for Stochastic Multi-objective Optimization in C-VRPTW1 Dec 2025
- 2025POMO+: Leveraging starting nodes in POMO for solving Capacitated Vehicle Routing Problem11 Aug 2025
- 2025Instance space analysis of the capacitated vehicle routing problem14 Jul 2025
- 2025BOPO: Neural Combinatorial Optimization via Best-anchored and Objective-guided Preference Optimization10 Mar 2025
- 2024Learning to Deliver: a Foundation Model for the Montreal Capacitated Vehicle Routing Problem28 Feb 2024
- 2024Multi-Task Learning for Routing Problem with Cross-Problem Zero-Shot Generalization23 Feb 2024
- 2024Spatial-temporal-demand clustering for solving large-scale vehicle routing problems with time windows20 Jan 2024
- 2023Combinatorial Optimization enriched Machine Learning to solve the Dynamic Vehicle Routing Problem with Time Windows3 Apr 2023
5 more
- 2023Towards Practical Multi-Robot Hybrid Tasks Allocation for Autonomous Cleaning12 Mar 2023
- 2023Learning-based Online Optimization for Autonomous Mobility-on-Demand Fleet Control8 Feb 2023
- 2022Neural Networks for Local Search and Crossover in Vehicle Routing: A Possible Overkill?9 Sep 2022
- 2021An Overview and Experimental Study of Learning-based Optimization Algorithms for Vehicle Routing Problem15 Jul 2021
- 2021Analytics and Machine Learning in Vehicle Routing Research19 Feb 2021
- 2024Multi-Task Learning for Routing Problem with Cross-Problem Zero-Shot Generalizationcited by 49
- 2021Analytics and Machine Learning in Vehicle Routing Researchcited by 22
- 2021An Overview and Experimental Study of Learning-based Optimization Algorithms for Vehicle Routing Problemcited by 22
- 2023Learning-based Online Optimization for Autonomous Mobility-on-Demand Fleet Controlcited by 14
- 2023Combinatorial Optimization enriched Machine Learning to solve the Dynamic Vehicle Routing Problem with Time Windowscited by 10
- 2022Neural Networks for Local Search and Crossover in Vehicle Routing: A Possible Overkill?cited by 6
- 2024Spatial-temporal-demand clustering for solving large-scale vehicle routing problems with time windowscited by 2
- 2026Chain-of-Context Learning: Dynamic Constraint Understanding for Multi-Task VRPscited by 2
- 2024Learning to Deliver: a Foundation Model for the Montreal Capacitated Vehicle Routing Problemcited by 1
- 2025End-to-end Deep Reinforcement Learning for Stochastic Multi-objective Optimization in C-VRPTWcited by 1
- 2026Vision-Assisted Foundation Model for Solving Multi-Task Vehicle Routing Problemscited by 1
- 2023Towards Practical Multi-Robot Hybrid Tasks Allocation for Autonomous Cleaningcited by 0
12 most cited of 16 All 16 (JSON)
- 2026LaT: LLM-as-Trainer for Multi-Task Vehicle Routing Solvers20 Jul 2026
- 2026Vision-Assisted Foundation Model for Solving Multi-Task Vehicle Routing Problems9 Jun 2026
- 2026Chain-of-Context Learning: Dynamic Constraint Understanding for Multi-Task VRPs2 Mar 2026
- 2025A Branch-and-Price Algorithm for Fast and Equitable Last-Mile Relief Aid Distribution22 Dec 2025
- 2025End-to-end Deep Reinforcement Learning for Stochastic Multi-objective Optimization in C-VRPTW1 Dec 2025
- 2025POMO+: Leveraging starting nodes in POMO for solving Capacitated Vehicle Routing Problem11 Aug 2025
- 2025Instance space analysis of the capacitated vehicle routing problem14 Jul 2025
- 2024Learning to Deliver: a Foundation Model for the Montreal Capacitated Vehicle Routing Problem28 Feb 2024
- 2024Multi-Task Learning for Routing Problem with Cross-Problem Zero-Shot Generalization23 Feb 2024
- 2024Spatial-temporal-demand clustering for solving large-scale vehicle routing problems with time windows20 Jan 2024
- 2023Combinatorial Optimization enriched Machine Learning to solve the Dynamic Vehicle Routing Problem with Time Windows3 Apr 2023
- 2023Towards Practical Multi-Robot Hybrid Tasks Allocation for Autonomous Cleaning12 Mar 2023
12 newest of 16 All 16 (JSON)