# Multi-objective Capacitated Vehicle Routing Problem on MOCVRP 50

Source: [Multi-objective Capacitated Vehicle Routing Problem on MOCVRP 50](<https://www.sota2.com/research/sota/multi-objective-capacitated-vehicle-routing-problem-on-mocvrp-50>)

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

Data updated: 2026-03-20T09:38:03.897Z

Evaluation of algorithms solving the Multi-objective Capacitated Vehicle Routing Problem (MO-CVRP) on the MOCVRP 50 instance set, reporting Hypervolume (HV) and Optimality Gap.

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 | Multi-objective Capacitated Vehicle Routing Problem |
| Dataset (including any stated split) | MOCVRP 50 |
| Metric | Hypervolume (HV) |
| Unit | PERCENT |
| Direction | Higher is better |
| Results loaded | 19 of 19 |
| 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

- [Hypervolume (HV)](<https://www.sota2.com/research/sota/multi-objective-capacitated-vehicle-routing-problem-on-mocvrp-50.md?metric=Hypervolume%20(HV)>): Higher is better; unit: PERCENT.

- [Optimality Gap](<https://www.sota2.com/research/sota/multi-objective-capacitated-vehicle-routing-problem-on-mocvrp-50.md?metric=Optimality%20Gap>): Lower is better; unit: PERCENT.

## Recorded results

| Method | Hypervolume (HV) | Result date | Report paper |
| --- | --- | --- | --- |
| POCCO-C-Aug | 41.08 | Not recorded | 68fa79831e209131cea7def8 |
| POCCO-W-Aug | 41.08 | Not recorded | 68fa79831e209131cea7def8 |
| EMNH-Aug | 41.06 | Not recorded | 68fa79831e209131cea7def8 |
| WE-CA-Aug | 41.03 | Not recorded | 68fa79831e209131cea7def8 |
| POCCO-W | 41.02 | Not recorded | 68fa79831e209131cea7def8 |
| POCCO-C | 41.01 | Not recorded | 68fa79831e209131cea7def8 |
| CNH-Aug | 41.01 | Not recorded | 68fa79831e209131cea7def8 |
| EMNH | 40.98 | Not recorded | 68fa79831e209131cea7def8 |
| MDRL-Aug | 40.92 | Not recorded | 68fa79831e209131cea7def8 |
| WE-CA | 40.89 | Not recorded | 68fa79831e209131cea7def8 |
| CNH | 40.87 | Not recorded | 68fa79831e209131cea7def8 |
| MDRL | 40.82 | Not recorded | 68fa79831e209131cea7def8 |
| PMOCO-Aug | 40.8 | Not recorded | 68fa79831e209131cea7def8 |
| DRL-MOA | 40.76 | Not recorded | 68fa79831e209131cea7def8 |
| PMOCO | 40.36 | Not recorded | 68fa79831e209131cea7def8 |
| PPLS/D-C | 40.07 | Not recorded | 68fa79831e209131cea7def8 |
| MOEA/D | 40 | Not recorded | 68fa79831e209131cea7def8 |
| MOGLS | 39.84 | Not recorded | 68fa79831e209131cea7def8 |
| NSGA-II | 38.96 | Not recorded | 68fa79831e209131cea7def8 |

### POCCO-C-Aug

Hypervolume (HV): 41.08. Result ID: 69bd156947f34ce924a78398.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"1.4m"}. This record does not assert independent reproduction.

### POCCO-W-Aug

Hypervolume (HV): 41.08. Result ID: 69bd156947f34ce924a7839a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"1.2m"}. This record does not assert independent reproduction.

### EMNH-Aug

Hypervolume (HV): 41.06. Result ID: 69bd156947f34ce924a78395.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70f01e209131cea4e28c.md>)

[Implementation](<https://github.com/bill-cjb/EMNH>)

Recorded evaluation configuration: {"Time":"35s"}. This record does not assert independent reproduction.

### WE-CA-Aug

Hypervolume (HV): 41.03. Result ID: 69bd156947f34ce924a78399.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"36s"}. This record does not assert independent reproduction.

### POCCO-W

Hypervolume (HV): 41.02. Result ID: 69bd156947f34ce924a78393.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"17s"}. This record does not assert independent reproduction.

### POCCO-C

Hypervolume (HV): 41.01. Result ID: 69bd156947f34ce924a78391.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"25s"}. This record does not assert independent reproduction.

### CNH-Aug

Hypervolume (HV): 41.01. Result ID: 69bd156947f34ce924a78397.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"45s"}. This record does not assert independent reproduction.

### EMNH

Hypervolume (HV): 40.98. Result ID: 69bd156947f34ce924a7838e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70f01e209131cea4e28c.md>)

[Implementation](<https://github.com/bill-cjb/EMNH>)

Recorded evaluation configuration: {"Time":"12s"}. This record does not assert independent reproduction.

### MDRL-Aug

Hypervolume (HV): 40.92. Result ID: 69bd156947f34ce924a78394.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6bc01e209131cea3012c.md>)

Recorded evaluation configuration: {"Time":"36s"}. This record does not assert independent reproduction.

### WE-CA

Hypervolume (HV): 40.89. Result ID: 69bd156947f34ce924a78392.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"10s"}. This record does not assert independent reproduction.

### CNH

Hypervolume (HV): 40.87. Result ID: 69bd156947f34ce924a78390.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"15s"}. This record does not assert independent reproduction.

### MDRL

Hypervolume (HV): 40.82. Result ID: 69bd156947f34ce924a7838d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6bc01e209131cea3012c.md>)

Recorded evaluation configuration: {"Time":"13s"}. This record does not assert independent reproduction.

### PMOCO-Aug

Hypervolume (HV): 40.8. Result ID: 69bd156947f34ce924a78396.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa59401e209131ce9b55c2.md>)

Recorded evaluation configuration: {"Time":"42s"}. This record does not assert independent reproduction.

### DRL-MOA

Hypervolume (HV): 40.76. Result ID: 69bd156947f34ce924a7838c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"12s"}. This record does not assert independent reproduction.

### PMOCO

Hypervolume (HV): 40.36. Result ID: 69bd156947f34ce924a7838f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa59401e209131ce9b55c2.md>)

Recorded evaluation configuration: {"Time":"12s"}. This record does not assert independent reproduction.

### PPLS/D-C

Hypervolume (HV): 40.07. Result ID: 69bd156947f34ce924a7838b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"9.7h"}. This record does not assert independent reproduction.

### MOEA/D

Hypervolume (HV): 40. Result ID: 69bd156947f34ce924a78388.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"2.9h"}. This record does not assert independent reproduction.

### MOGLS

Hypervolume (HV): 39.84. Result ID: 69bd156947f34ce924a7838a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"20h"}. This record does not assert independent reproduction.

### NSGA-II

Hypervolume (HV): 38.96. Result ID: 69bd156947f34ce924a78389.

[Reporting paper](<https://www.sota2.com/research/paper/68fa79831e209131cea7def8.md>)

Recorded evaluation configuration: {"Time":"8.8h"}. This record does not assert independent reproduction.

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