# Robot Trajectory Planning Computation on Obstacles

Source: [Robot Trajectory Planning Computation on Obstacles](<https://www.sota2.com/research/sota/robot-trajectory-planning-computation-on-obstacles>)

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

Data updated: 2026-06-09T09:43:59.134Z

Evaluation of the computation time required for robot trajectory planning algorithms within the Obstacles environment, summarized by mean, standard deviation, and maximum time observed.

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 | Robot Trajectory Planning Computation |
| Dataset (including any stated split) | Obstacles |
| Metric | Mean Computation Time |
| Unit | TIME |
| 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

- [Mean Computation Time](<https://www.sota2.com/research/sota/robot-trajectory-planning-computation-on-obstacles.md?metric=Mean%20Computation%20Time>): Lower is better; unit: TIME.

- [Std Dev Computation Time](<https://www.sota2.com/research/sota/robot-trajectory-planning-computation-on-obstacles.md?metric=Std%20Dev%20Computation%20Time>): Lower is better; unit: TIME.

- [Max Computation Time](<https://www.sota2.com/research/sota/robot-trajectory-planning-computation-on-obstacles.md?metric=Max%20Computation%20Time>): Lower is better; unit: TIME.

## Recorded results

| Method | Mean Computation Time | Result date | Report paper |
| --- | --- | --- | --- |
| Differentiable Constraint-Based Trajectory Planning | 14 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 21 | Not recorded | 6a279e6e90966ade919bfad7 |
| Differentiable Constraint-Based Trajectory Planning | 26 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 36 | Not recorded | 6a279e6e90966ade919bfad7 |
| Differentiable Constraint-Based Trajectory Planning | 59 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 75 | Not recorded | 6a279e6e90966ade919bfad7 |
| Differentiable Constraint-Based Trajectory Planning | 124 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 148 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 166 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 209 | Not recorded | 6a279e6e90966ade919bfad7 |
| Differentiable Constraint-Based Trajectory Planning | 231 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 248 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 314 | Not recorded | 6a279e6e90966ade919bfad7 |
| Spheres | 366 | Not recorded | 6a279e6e90966ade919bfad7 |
| Differentiable Constraint-Based Trajectory Planning | 377 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 488 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 681 | Not recorded | 6a279e6e90966ade919bfad7 |
| NMPC-MP | 881 | Not recorded | 6a279e6e90966ade919bfad7 |

### Differentiable Constraint-Based Trajectory Planning

Mean Computation Time: 14. Result ID: 6a27df45fbc373592c2509a8.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"0"}. This record does not assert independent reproduction.

### Spheres

Mean Computation Time: 21. Result ID: 6a27df45fbc373592c2509ae.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"0"}. This record does not assert independent reproduction.

### Differentiable Constraint-Based Trajectory Planning

Mean Computation Time: 26. Result ID: 6a27df45fbc373592c2509a9.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"1"}. This record does not assert independent reproduction.

### Spheres

Mean Computation Time: 36. Result ID: 6a27df45fbc373592c2509af.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"1"}. This record does not assert independent reproduction.

### Differentiable Constraint-Based Trajectory Planning

Mean Computation Time: 59. Result ID: 6a27df45fbc373592c2509aa.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"3"}. This record does not assert independent reproduction.

### Spheres

Mean Computation Time: 75. Result ID: 6a27df45fbc373592c2509b0.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"3"}. This record does not assert independent reproduction.

### Differentiable Constraint-Based Trajectory Planning

Mean Computation Time: 124. Result ID: 6a27df45fbc373592c2509ab.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"6"}. This record does not assert independent reproduction.

### Spheres

Mean Computation Time: 148. Result ID: 6a27df45fbc373592c2509b1.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"6"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Computation Time: 166. Result ID: 6a27df45fbc373592c2509a2.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"0"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Computation Time: 209. Result ID: 6a27df45fbc373592c2509a3.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"1"}. This record does not assert independent reproduction.

### Differentiable Constraint-Based Trajectory Planning

Mean Computation Time: 231. Result ID: 6a27df45fbc373592c2509ac.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"9"}. This record does not assert independent reproduction.

### Spheres

Mean Computation Time: 248. Result ID: 6a27df45fbc373592c2509b2.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"9"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Computation Time: 314. Result ID: 6a27df45fbc373592c2509a4.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"3"}. This record does not assert independent reproduction.

### Spheres

Mean Computation Time: 366. Result ID: 6a27df45fbc373592c2509b3.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"12"}. This record does not assert independent reproduction.

### Differentiable Constraint-Based Trajectory Planning

Mean Computation Time: 377. Result ID: 6a27df45fbc373592c2509ad.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"12"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Computation Time: 488. Result ID: 6a27df45fbc373592c2509a5.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"6"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Computation Time: 681. Result ID: 6a27df45fbc373592c2509a6.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"9"}. This record does not assert independent reproduction.

### NMPC-MP

Mean Computation Time: 881. Result ID: 6a27df45fbc373592c2509a7.

[Reporting paper](<https://www.sota2.com/research/paper/6a279e6e90966ade919bfad7.md>)

Recorded evaluation configuration: {"Number of Obstacles":"12"}. This record does not assert independent reproduction.

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