# Quadratic Assignment Problem on QAPLIB nug instances

Source: [Quadratic Assignment Problem on QAPLIB nug instances](<https://www.sota2.com/research/sota/quadratic-assignment-problem-on-qaplib-nug-instances>)

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

Data updated: 2026-02-26T05:59:06.126Z

Evaluation of algorithms solving the Quadratic Assignment Problem (QAP) using the specific 'nug' instance set sourced from QAPLIB (e.g., nug12, nug20, nug30).

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) | QAPLIB nug instances |
| Metric | QAP Cost |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 13 of 13 |
| 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

- [QAP Cost](<https://www.sota2.com/research/sota/quadratic-assignment-problem-on-qaplib-nug-instances.md?metric=QAP%20Cost>): Lower is better; unit: SCALAR.

- [Std. Err. (Cost)](<https://www.sota2.com/research/sota/quadratic-assignment-problem-on-qaplib-nug-instances.md?metric=Std.%20Err.%20(Cost)>): Lower is better; unit: SCALAR.

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

## Recorded results

| Method | QAP Cost | Result date | Report paper |
| --- | --- | --- | --- |
| Optimal | 578 | Not recorded | 68fa49c91e209131ce939a40 |
| FAQ | 596 | Not recorded | 68fa49c91e209131ce939a40 |
| Q-Match | 608 | Not recorded | 68fa49c91e209131ce939a40 |
| QuCOOP | 612 | Not recorded | 68fa49c91e209131ce939a40 |
| 2-OPT | 620 | Not recorded | 68fa49c91e209131ce939a40 |
| q-EI | 3653 | Not recorded | 68fa6e761e209131cea4006b |
| q-EST | 3690 | Not recorded | 68fa6e761e209131cea4006b |
| LAW-EI | 3724 | Not recorded | 68fa6e761e209131cea4006b |
| LAW-EST | 3731 | Not recorded | 68fa6e761e209131cea4006b |
| DPP-MAX-EST | 3900 | Not recorded | 68fa6e761e209131cea4006b |
| MACE-UCB | 4031 | Not recorded | 68fa6e761e209131cea4006b |
| MACE-EST | 4086 | Not recorded | 68fa6e761e209131cea4006b |
| DPP-SMP-EST | 4446 | Not recorded | 68fa6e761e209131cea4006b |

### Optimal

QAP Cost: 578. Result ID: 698c1377f729bc7f68e82781.

[Reporting paper](<https://www.sota2.com/research/paper/68fa49c91e209131ce939a40.md>)

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

### FAQ

QAP Cost: 596. Result ID: 698c1377f729bc7f68e82784.

[Reporting paper](<https://www.sota2.com/research/paper/68fa49c91e209131ce939a40.md>)

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

### Q-Match

QAP Cost: 608. Result ID: 698c1377f729bc7f68e82783.

[Reporting paper](<https://www.sota2.com/research/paper/68fa49c91e209131ce939a40.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6a8f1e209131cea28d2e.md>)

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

### QuCOOP

QAP Cost: 612. Result ID: 698c1377f729bc7f68e82782.

[Reporting paper](<https://www.sota2.com/research/paper/68fa49c91e209131ce939a40.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa49c91e209131ce939a40.md>)

[Implementation](<https://4dqv.mpi-inf.mpg.de/QuCOOP/>)

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

### 2-OPT

QAP Cost: 620. Result ID: 698c1377f729bc7f68e82785.

[Reporting paper](<https://www.sota2.com/research/paper/68fa49c91e209131ce939a40.md>)

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

### q-EI

QAP Cost: 3653. Result ID: 699031463a6c314849fec907.

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

### q-EST

QAP Cost: 3690. Result ID: 699031463a6c314849fec908.

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

### LAW-EI

QAP Cost: 3724. Result ID: 699031463a6c314849fec909.

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

### LAW-EST

QAP Cost: 3731. Result ID: 699031463a6c314849fec90a.

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

### DPP-MAX-EST

QAP Cost: 3900. Result ID: 699031463a6c314849fec903.

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

### MACE-UCB

QAP Cost: 4031. Result ID: 699031463a6c314849fec905.

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

Recorded evaluation configuration: {"Batch":5}. This record does not assert independent reproduction.

### MACE-EST

QAP Cost: 4086. Result ID: 699031463a6c314849fec906.

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

Recorded evaluation configuration: {"Batch":5}. This record does not assert independent reproduction.

### DPP-SMP-EST

QAP Cost: 4446. Result ID: 699031463a6c314849fec904.

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

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