mlsanityData to 7 Oct 2026

Hybrid Genetic Search for the CVRP: Open-Source Implementation and SWAP* Neighborhood

arXiv 2012.10384 ↗First posted 23 Nov 2020cs.NEcited by 122

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Abstract (arXiv)

The vehicle routing problem is one of the most studied combinatorial optimization topics, due to its practical importance and methodological interest. Yet, despite extensive methodological progress, many recent studies are hampered by the limited access to simple and efficient open-source solution methods. Given the sophistication of current algorithms, reimplementation is becoming a difficult and time-consuming exercise that requires extensive care for details to be truly successful. Against this background, we use the opportunity of this short paper to introduce a simple -- open-source -- implementation of the hybrid genetic search (HGS) specialized to the capacitated vehicle routing problem (CVRP). This state-of-the-art algorithm uses the same general methodology as Vidal et al. (2012) but also includes additional methodological improvements and lessons learned over the past decade of research. In particular, it includes an additional neighborhood called SWAP* which consists in exchanging two customers between different routes without an insertion in place. As highlighted in our study, an efficient exploration of SWAP* moves significantly contributes to the performance of local searches. Moreover, as observed in experimental comparisons with other recent approaches on the classical instances of Uchoa et al. (2017), HGS still stands as a leading metaheuristic regarding solution quality, convergence speed, and conceptual simplicity.

Key facts. Cited by 122 papers in the map (data through 7 Oct 2026). First posted on arXiv 23 Nov 2020.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 3; 2022: 4; 2023: 16; 2024: 20; 2025: 45; 2026: 34.

122 papers.

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  1. 2023Neural Combinatorial Optimization with Heavy Decoder: Toward Large Scale Generalizationcited by 140
  2. 2021Learning to Delegate for Large-scale Vehicle Routingcited by 108
  3. 2021Deep Policy Dynamic Programming for Vehicle Routing Problemscited by 94
  4. 2022Simulation-guided Beam Search for Neural Combinatorial Optimizationcited by 84
  5. 2023Learning to Search Feasible and Infeasible Regions of Routing Problems with Flexible Neural k-Optcited by 81
  6. 2023BQ-NCO: Bisimulation Quotienting for Efficient Neural Combinatorial Optimizationcited by 80
  7. 2023DeepACO: Neural-enhanced Ant Systems for Combinatorial Optimizationcited by 77
  8. 2023RL4CO: an Extensive Reinforcement Learning for Combinatorial Optimization Benchmarkcited by 70
  9. 2024MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Expertscited by 69
  10. 2023Towards Omni-generalizable Neural Methods for Vehicle Routing Problemscited by 68
  11. 2023Towards Generalizable Neural Solvers for Vehicle Routing Problems via Ensemble with Transferrable Local Policycited by 61
  12. 2022Winner Takes It All: Training Performant RL Populations for Combinatorial Optimizationcited by 57
38 more
  1. 2024RouteFinder: Towards Foundation Models for Vehicle Routing Problemscited by 54
  2. 2024Ant Colony Sampling with GFlowNets for Combinatorial Optimizationcited by 53
  3. 2023PyVRP: a high-performance VRP solver packagecited by 50
  4. 2024INViT: A Generalizable Routing Problem Solver with Invariant Nested View Transformercited by 43
  5. 2024GOAL: A Generalist Combinatorial Optimization Agent Learnercited by 39
  6. 2025Rethinking Light Decoder-based Solvers for Vehicle Routing Problemscited by 36
  7. 2024PolyNet: Learning Diverse Solution Strategies for Neural Combinatorial Optimizationcited by 35
  8. 2024Self-Improvement for Neural Combinatorial Optimization: Sample without Replacement, but Improvementcited by 32
  9. 2024Self-Improved Learning for Scalable Neural Combinatorial Optimizationcited by 29
  10. 2023Meta-SAGE: Scale Meta-Learning Scheduled Adaptation with Guided Exploration for Mitigating Scale Shift on Combinatorial Optimizationcited by 23
  11. 2024Neural Combinatorial Optimization Algorithms for Solving Vehicle Routing Problems: A Comprehensive Survey with Perspectivescited by 23
  12. 2021Guidelines for the Computational Testing of Machine Learning approaches to Vehicle Routing Problemscited by 16
  13. 2024Distance-aware Attention Reshaping: Enhance Generalization of Neural Solver for Large-scale Vehicle Routing Problemscited by 15
  14. 2025Neural Deconstruction Search for Vehicle Routing Problemscited by 15
  15. 2025Destroy and Repair Using Hyper Graphs for Routingcited by 14
  16. 2025Learning to Reduce Search Space for Generalizable Neural Routing Solvercited by 14
  17. 2025ARS: Automatic Routing Solver with Large Language Modelscited by 13
  18. 2025MTL-KD: Multi-Task Learning Via Knowledge Distillation for Generalizable Neural Vehicle Routing Solvercited by 13
  19. 2025Improving Generalization of Neural Combinatorial Optimization for Vehicle Routing Problems via Test-Time Projection Learningcited by 12
  20. 2025Preference Optimization for Combinatorial Optimization Problemscited by 11
  21. 2023Combinatorial Optimization enriched Machine Learning to solve the Dynamic Vehicle Routing Problem with Time Windowscited by 10
  22. 2025Adversarial Generative Flow Network for Solving Vehicle Routing Problemscited by 10
  23. 2025RRNCO: Towards Real-World Routing with Neural Combinatorial Optimizationcited by 10
  24. 2025Learning to Insert for Constructive Neural Vehicle Routing Solvercited by 10
  25. 2024Instance-Conditioned Adaptation for Large-scale Generalization of Neural Routing Solvercited by 9
  26. 2024Collaboration! Towards Robust Neural Methods for Routing Problemscited by 9
  27. 2023Heuristics for Vehicle Routing Problem: A Survey and Recent Advancescited by 7
  28. 2025Learning-Guided Rolling Horizon Optimization for Long-Horizon Flexible Job-Shop Schedulingcited by 7
  29. 2025Rethinking Neural Combinatorial Optimization for Vehicle Routing Problems with Different Constraint Tightness Degreescited by 7
  30. 2025URS: A Unified Neural Routing Solver for Cross-Problem Zero-Shot Generalizationcited by 7
  31. 2025Hybrid-Balance GFlowNet for Solving Vehicle Routing Problemscited by 7
  32. 2025Multi-Task Vehicle Routing Solver via Mixture of Specialized Experts under State-Decomposable MDPcited by 7
  33. 2026RADAR: Learning to Route with Asymmetry-aware DistAnce Representationscited by 7
  34. 2022Neural Networks for Local Search and Crossover in Vehicle Routing: A Possible Overkill?cited by 6
  35. 2025VRPAgent: LLM-Driven Discovery of Heuristic Operators for Vehicle Routing Problemscited by 6
  36. 2023Routing Arena: A Benchmark Suite for Neural Routing Solverscited by 5
  37. 2024Leader Reward for POMO-Based Neural Combinatorial Optimizationcited by 5
  38. 2024Neural Solver Selection for Combinatorial Optimizationcited by 5

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