# Multi-objective Capacitated Vehicle Routing Problem on MOCVRP 100

Source: [Multi-objective Capacitated Vehicle Routing Problem on MOCVRP 100](<https://www.sota2.com/research/sota/multi-objective-capacitated-vehicle-routing-problem-on-mocvrp-100>)

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

Data updated: 2026-03-20T09:38:03.921Z

Evaluation of algorithms solving the Multi-objective Capacitated Vehicle Routing Problem (MOCVRP) on the MOCVRP 100 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 100 |
| Metric | Hypervolume |
| Unit | SCALAR |
| 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](<https://www.sota2.com/research/sota/multi-objective-capacitated-vehicle-routing-problem-on-mocvrp-100.md?metric=Hypervolume>): Higher is better; unit: SCALAR.

- [Optimality Gap](<https://www.sota2.com/research/sota/multi-objective-capacitated-vehicle-routing-problem-on-mocvrp-100.md?metric=Optimality%20Gap>): Lower is better; unit: PERCENT.

## Recorded results

| Method | Hypervolume | Result date | Report paper |
| --- | --- | --- | --- |
| POCCO-W-Aug | 0.4089 | Not recorded | 68fa79831e209131cea7def8 |
| POCCO-C-Aug | 0.4086 | Not recorded | 68fa79831e209131cea7def8 |
| POCCO-W | 0.4084 | Not recorded | 68fa79831e209131cea7def8 |
| WE-CA-Aug | 0.4081 | Not recorded | 68fa79831e209131cea7def8 |
| POCCO-C | 0.4079 | Not recorded | 68fa79831e209131cea7def8 |
| EMNH-Aug | 0.4079 | Not recorded | 68fa79831e209131cea7def8 |
| CNH-Aug | 0.4077 | Not recorded | 68fa79831e209131cea7def8 |
| EMNH | 0.4072 | Not recorded | 68fa79831e209131cea7def8 |
| MDRL-Aug | 0.4072 | Not recorded | 68fa79831e209131cea7def8 |
| WE-CA | 0.4068 | Not recorded | 68fa79831e209131cea7def8 |
| CNH | 0.4065 | Not recorded | 68fa79831e209131cea7def8 |
| MDRL | 0.4056 | Not recorded | 68fa79831e209131cea7def8 |
| DRL-MOA | 0.4055 | Not recorded | 68fa79831e209131cea7def8 |
| PMOCO-Aug | 0.3969 | Not recorded | 68fa79831e209131cea7def8 |
| MOEA/D | 0.3953 | Not recorded | 68fa79831e209131cea7def8 |
| PPLS/D-C | 0.3946 | Not recorded | 68fa79831e209131cea7def8 |
| PMOCO | 0.3913 | Not recorded | 68fa79831e209131cea7def8 |
| MOGLS | 0.3875 | Not recorded | 68fa79831e209131cea7def8 |
| NSGA-II | 0.362 | Not recorded | 68fa79831e209131cea7def8 |

### POCCO-W-Aug

Hypervolume: 0.4089. Result ID: 69bd156947f34ce924a783ad.

[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":"2.3m"}. This record does not assert independent reproduction.

### POCCO-C-Aug

Hypervolume: 0.4086. Result ID: 69bd156947f34ce924a783ab.

[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":"2.4m"}. This record does not assert independent reproduction.

### POCCO-W

Hypervolume: 0.4084. Result ID: 69bd156947f34ce924a783a6.

[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":"46s"}. This record does not assert independent reproduction.

### WE-CA-Aug

Hypervolume: 0.4081. Result ID: 69bd156947f34ce924a783ac.

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

Recorded evaluation configuration: {"Time":"1.8m"}. This record does not assert independent reproduction.

### POCCO-C

Hypervolume: 0.4079. Result ID: 69bd156947f34ce924a783a4.

[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":"53s"}. This record does not assert independent reproduction.

### EMNH-Aug

Hypervolume: 0.4079. Result ID: 69bd156947f34ce924a783a8.

[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":"2.8m"}. This record does not assert independent reproduction.

### CNH-Aug

Hypervolume: 0.4077. Result ID: 69bd156947f34ce924a783aa.

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

Recorded evaluation configuration: {"Time":"1.9m"}. This record does not assert independent reproduction.

### EMNH

Hypervolume: 0.4072. Result ID: 69bd156947f34ce924a783a1.

[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":"22s"}. This record does not assert independent reproduction.

### MDRL-Aug

Hypervolume: 0.4072. Result ID: 69bd156947f34ce924a783a7.

[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":"2.8m"}. This record does not assert independent reproduction.

### WE-CA

Hypervolume: 0.4068. Result ID: 69bd156947f34ce924a783a5.

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

Recorded evaluation configuration: {"Time":"21s"}. This record does not assert independent reproduction.

### CNH

Hypervolume: 0.4065. Result ID: 69bd156947f34ce924a783a3.

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

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

### MDRL

Hypervolume: 0.4056. Result ID: 69bd156947f34ce924a783a0.

[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":"22s"}. This record does not assert independent reproduction.

### DRL-MOA

Hypervolume: 0.4055. Result ID: 69bd156947f34ce924a7839f.

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

Recorded evaluation configuration: {"Time":"21s"}. This record does not assert independent reproduction.

### PMOCO-Aug

Hypervolume: 0.3969. Result ID: 69bd156947f34ce924a783a9.

[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":"2.0m"}. This record does not assert independent reproduction.

### MOEA/D

Hypervolume: 0.3953. Result ID: 69bd156947f34ce924a7839b.

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

Recorded evaluation configuration: {"Time":"5.0h"}. This record does not assert independent reproduction.

### PPLS/D-C

Hypervolume: 0.3946. Result ID: 69bd156947f34ce924a7839e.

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

Recorded evaluation configuration: {"Time":"38h"}. This record does not assert independent reproduction.

### PMOCO

Hypervolume: 0.3913. Result ID: 69bd156947f34ce924a783a2.

[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":"22s"}. This record does not assert independent reproduction.

### MOGLS

Hypervolume: 0.3875. Result ID: 69bd156947f34ce924a7839d.

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

Recorded evaluation configuration: {"Time":"72h"}. This record does not assert independent reproduction.

### NSGA-II

Hypervolume: 0.362. Result ID: 69bd156947f34ce924a7839c.

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

Recorded evaluation configuration: {"Time":"9.4h"}. This record does not assert independent reproduction.

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