# Capacitated Vehicle Routing Problem on VRPLIB N=20

Source: [Capacitated Vehicle Routing Problem on VRPLIB N=20](<https://www.sota2.com/research/sota/capacitated-vehicle-routing-problem-on-vrplib-n-20>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-03-17T09:30:35.838Z

Evaluation of algorithms solving the Capacitated Vehicle Routing Problem (CVRP) on instances from VRPLIB characterized by having N=20 nodes, reporting optimality gap and computation time.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Capacitated Vehicle Routing Problem |
| Dataset (including any stated split) | VRPLIB N=20 |
| Metric | Optimality Gap (%) |
| Unit | PERCENT |
| Direction | Lower is better |
| Results loaded | 18 of 18 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Optimality Gap (%)](<https://www.sota2.com/research/sota/capacitated-vehicle-routing-problem-on-vrplib-n-20.md?metric=Optimality%20Gap%20(%25)>): Lower is better; unit: PERCENT.

- [Computation Time (min)](<https://www.sota2.com/research/sota/capacitated-vehicle-routing-problem-on-vrplib-n-20.md?metric=Computation%20Time%20(min)>): Lower is better; unit: TIME.

## Recorded results

| Method | Optimality Gap (%) | Result date | Report paper |
| --- | --- | --- | --- |
| DACT | 0.01 | Not recorded | 68fa7bb11e209131cea89ec8 |
| LEHD | 0.01 | Not recorded | 68fa7bb11e209131cea89ec8 |
| GA-2opt+GLEET | 0.01 | Not recorded | 68fa7bb11e209131cea89ec8 |
| GA-2opt+AutoEP | 0.01 | Not recorded | 68fa7bb11e209131cea89ec8 |
| GA-2opt+EoH+AutoEP | 0.01 | Not recorded | 68fa7bb11e209131cea89ec8 |
| GA-2opt+ReEvo+AutoEP | 0.01 | Not recorded | 68fa7bb11e209131cea89ec8 |
| GA-2opt+ReEvo | 0.03 | Not recorded | 68fa7bb11e209131cea89ec8 |
| PSO-2opt+AutoEP | 0.06 | Not recorded | 68fa7bb11e209131cea89ec8 |
| GA-2opt+BEA | 0.07 | Not recorded | 68fa7bb11e209131cea89ec8 |
| PSO-2opt+GLEET | 0.08 | Not recorded | 68fa7bb11e209131cea89ec8 |
| GA-2opt+EoH | 0.08 | Not recorded | 68fa7bb11e209131cea89ec8 |
| PSO-2opt+ReEvo | 0.09 | Not recorded | 68fa7bb11e209131cea89ec8 |
| PSO-2opt+BEA | 0.11 | Not recorded | 68fa7bb11e209131cea89ec8 |
| PSO-2opt+EoH | 0.12 | Not recorded | 68fa7bb11e209131cea89ec8 |
| PSO-2opt+PT | 0.19 | Not recorded | 68fa7bb11e209131cea89ec8 |
| GA-2opt+PT | 0.26 | Not recorded | 68fa7bb11e209131cea89ec8 |
| GA-2opt | 0.91 | Not recorded | 68fa7bb11e209131cea89ec8 |
| PSO-2opt | 1.38 | Not recorded | 68fa7bb11e209131cea89ec8 |

### DACT

Optimality Gap (%): 0.01. Result ID: 69b91e4847f34ce924a20bb3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6e221e209131cea3e0e1.md>)

[Implementation](<https://github.com/yining043/VRP-DACT>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### LEHD

Optimality Gap (%): 0.01. Result ID: 69b91e4847f34ce924a20bb4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5b4b1e209131ce9c6ec3.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### GA-2opt+GLEET

Optimality Gap (%): 0.01. Result ID: 69b91e4847f34ce924a20bbe.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa72e11e209131cea59238.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### GA-2opt+AutoEP

Optimality Gap (%): 0.01. Result ID: 69b91e4847f34ce924a20bc2.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### GA-2opt+EoH+AutoEP

Optimality Gap (%): 0.01. Result ID: 69b91e4847f34ce924a20bc3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### GA-2opt+ReEvo+AutoEP

Optimality Gap (%): 0.01. Result ID: 69b91e4847f34ce924a20bc4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### GA-2opt+ReEvo

Optimality Gap (%): 0.03. Result ID: 69b91e4847f34ce924a20bc1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75371e209131cea667f9.md>)

[Implementation](<https://github.com/ai4co/LLM-as-HH>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### PSO-2opt+AutoEP

Optimality Gap (%): 0.06. Result ID: 69b91e4847f34ce924a20bbb.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### GA-2opt+BEA

Optimality Gap (%): 0.07. Result ID: 69b91e4847f34ce924a20bbf.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa67901e209131cea170b0.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### PSO-2opt+GLEET

Optimality Gap (%): 0.08. Result ID: 69b91e4847f34ce924a20bb7.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa72e11e209131cea59238.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### GA-2opt+EoH

Optimality Gap (%): 0.08. Result ID: 69b91e4847f34ce924a20bc0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73651e209131cea5c311.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### PSO-2opt+ReEvo

Optimality Gap (%): 0.09. Result ID: 69b91e4847f34ce924a20bba.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa75371e209131cea667f9.md>)

[Implementation](<https://github.com/ai4co/LLM-as-HH>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### PSO-2opt+BEA

Optimality Gap (%): 0.11. Result ID: 69b91e4847f34ce924a20bb8.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa67901e209131cea170b0.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### PSO-2opt+EoH

Optimality Gap (%): 0.12. Result ID: 69b91e4847f34ce924a20bb9.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73651e209131cea5c311.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### PSO-2opt+PT

Optimality Gap (%): 0.19. Result ID: 69b91e4847f34ce924a20bb6.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### GA-2opt+PT

Optimality Gap (%): 0.26. Result ID: 69b91e4847f34ce924a20bbd.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### GA-2opt

Optimality Gap (%): 0.91. Result ID: 69b91e4847f34ce924a20bbc.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### PSO-2opt

Optimality Gap (%): 1.38. Result ID: 69b91e4847f34ce924a20bb5.

[Reporting paper](<https://www.sota2.com/research/paper/68fa7bb11e209131cea89ec8.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

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