# Quadratic Assignment Problem on QAP-esc32a

Source: [Quadratic Assignment Problem on QAP-esc32a](<https://www.sota2.com/research/sota/quadratic-assignment-problem-on-qap-esc32a>)

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

Data updated: 2026-02-26T05:51:58.873Z

Evaluation results for the Quadratic Assignment Problem instance 'esc32a' from QAPLIB, reporting summary statistics such as Mean Cost, Standard Error, and Rank.

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 | Quadratic Assignment Problem |
| Dataset (including any stated split) | QAP-esc32a |
| Metric | Mean Cost |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 8 of 8 |
| 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 Cost](<https://www.sota2.com/research/sota/quadratic-assignment-problem-on-qap-esc32a.md?metric=Mean%20Cost>): Lower is better; unit: SCALAR.

- [Standard Error](<https://www.sota2.com/research/sota/quadratic-assignment-problem-on-qap-esc32a.md?metric=Standard%20Error>): Lower is better; unit: SCALAR.

- [Rank](<https://www.sota2.com/research/sota/quadratic-assignment-problem-on-qap-esc32a.md?metric=Rank>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Mean Cost | Result date | Report paper |
| --- | --- | --- | --- |
| q-EST | 171.2 | Not recorded | 68fa6e761e209131cea4006b |
| q-EI | 172.7 | Not recorded | 68fa6e761e209131cea4006b |
| LAW-EST | 191.7 | Not recorded | 68fa6e761e209131cea4006b |
| LAW-EI | 192.5 | Not recorded | 68fa6e761e209131cea4006b |
| MACE-UCB | 250.3 | Not recorded | 68fa6e761e209131cea4006b |
| DPP-MAX-EST | 276.5 | Not recorded | 68fa6e761e209131cea4006b |
| MACE-EST | 285.6 | Not recorded | 68fa6e761e209131cea4006b |
| DPP-SMP-EST | 319.6 | Not recorded | 68fa6e761e209131cea4006b |

### q-EST

Mean Cost: 171.2. Result ID: 699031463a6c314849fec910.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6e761e209131cea4006b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa58231e209131ce9ab9df.md>)

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

### q-EI

Mean Cost: 172.7. Result ID: 699031463a6c314849fec90f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6e761e209131cea4006b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa58231e209131ce9ab9df.md>)

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

### LAW-EST

Mean Cost: 191.7. Result ID: 699031463a6c314849fec912.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6e761e209131cea4006b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6e761e209131cea4006b.md>)

[Implementation](<https://github.com/ChangYong-Oh/LAW2ORDER>)

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

### LAW-EI

Mean Cost: 192.5. Result ID: 699031463a6c314849fec911.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6e761e209131cea4006b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6e761e209131cea4006b.md>)

[Implementation](<https://github.com/ChangYong-Oh/LAW2ORDER>)

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

### MACE-UCB

Mean Cost: 250.3. Result ID: 699031463a6c314849fec90d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6e761e209131cea4006b.md>)

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

### DPP-MAX-EST

Mean Cost: 276.5. Result ID: 699031463a6c314849fec90b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6e761e209131cea4006b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa62d71e209131ce9fb8b8.md>)

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

### MACE-EST

Mean Cost: 285.6. Result ID: 699031463a6c314849fec90e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6e761e209131cea4006b.md>)

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

### DPP-SMP-EST

Mean Cost: 319.6. Result ID: 699031463a6c314849fec90c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6e761e209131cea4006b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa62d71e209131ce9fb8b8.md>)

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

Page 1 of 1. This is an index page, not the full collection.