medium · flats · 2 storeys
B0047: a triplex on a 13.2 × 21 m lot
3 dwellings, 15 rooms. The pooled front across all methods holds 231 nondominated designs.
Requirements
- Lot
- 13.2 × 21 m (277 m²)
- Street side faces
- 255° (0 = north)
- Setbacks front / rear / left / right
- 3.3 / 5.1 / 1.6 / 2.1 m
- Storeys × height
- 2 × 2.8 m
- Shared core
- yes (access gallery + stair)
- Open space, net of parking
- ≥ 29% of the lot
- Parking spaces
- 0
- Courtyard
- not required
- Tightness (programme / buildable volume)
- 0.638
Programme
| Dwelling | Type | Storey | Min m² | Rooms |
|---|---|---|---|---|
| U0 | studio | 0 | 33 | entry, living, kitchen, bathroom |
| U1 | 1BR | 0 | 46 | entry, living, kitchen, bathroom, bedroom primary |
| U2 | 2BR | 1 | 63 | entry, living, kitchen, bathroom, bedroom primary, bedroom secondary |
Required contacts: entry–living, kitchen–living. Doors forbidden between: entry–bedroom_primary, entry–bedroom_secondary, kitchen–bathroom.
Results by method
| Method | Solved | HV | Evals | s | Notes |
|---|---|---|---|---|---|
| Heuristic | 0% | 0.000 | 424 | 1.1 | |
| Random search | 0% | 0.000 | 1500 | 4.0 | |
| Simulated annealing | 100% | 0.032 | 1500 | 4.1 | |
| NSGA-II | 33% | 0.016 | 1500 | 4.6 | |
| CP-SAT | 100% | 0.061 | 13 | 6.6 | |
| Random sketch + repair | 67% | 0.043 | 1500 | 5.0 | repair collapse |
| Heuristic-seeded NSGA-II | 100% | 0.027 | 1500 | 4.5 | repair collapse |
Mean over 1 seeds (the heuristic is deterministic: one run).
Representative designs from the pooled front
Each is best on one objective, or the knee: the most balanced trade-off. None is best overall.
Closest attempts that failed
For methods that found nothing feasible: their least-infeasible design, with its violations marked on its page.
Pareto explorer
Loading designs…
Convergence on this brief
Archive hypervolume against evaluations, mean over seeds.
What stopped designs here
| method | C04 | C05 | C06 | C07 | C08 | C09 | C10 | C11 |
|---|---|---|---|---|---|---|---|---|
| Heuristic | 37% | 66% | 100% | 2% | – | 2% | 1% | 2% |
| Random search | 85% | 100% | 100% | 91% | 17% | 82% | 91% | 85% |
| Simulated annealing | 53% | 84% | 73% | 43% | 12% | 53% | 41% | 54% |
| NSGA-II | 43% | 92% | 77% | 52% | 11% | 67% | 41% | 57% |
| Random sketch + repair | 43% | 79% | 63% | 23% | 7% | 33% | 33% | 50% |
| Heuristic-seeded NSGA-II | 41% | 89% | 77% | 49% | 5% | 24% | 20% | 38% |