hard · flats · 2 storeys
B0051: a fourplex on a 12 × 29.2 m lot
4 dwellings, 24 rooms. No method found a design meeting every constraint within the budget.
Requirements
- Lot
- 12 × 29.2 m (350 m²)
- Street side faces
- 0° (0 = north)
- Setbacks front / rear / left / right
- 5.4 / 5.7 / 2.2 / 1.1 m
- Storeys × height
- 2 × 2.8 m
- Shared core
- yes (access gallery + stair)
- Open space, net of parking
- ≥ 30% of the lot
- Parking spaces
- 2
- Courtyard
- not required
- Tightness (programme / buildable volume)
- 0.840
Programme
| Dwelling | Type | Storey | Min m² | Rooms |
|---|---|---|---|---|
| U0 | 2BR | 0 | 63 | entry, living, kitchen, bathroom, bedroom primary, bedroom secondary |
| U1 | 2BR | 0 | 63 | entry, living, kitchen, bathroom, bedroom primary, bedroom secondary |
| U2 | 2BR | 1 | 63 | entry, living, kitchen, bathroom, bedroom primary, bedroom secondary |
| U3 | 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 | 695 | 2.2 | |
| Random search | 0% | 0.000 | 1500 | 6.2 | |
| Simulated annealing | 0% | 0.000 | 1500 | 6.0 | |
| NSGA-II | 0% | 0.000 | 1500 | 6.8 | |
| CP-SAT | 0% | 0.000 | 0 | 4.6 | solver timeout |
| Random sketch + repair | 0% | 0.000 | 1500 | 6.8 | repair collapse |
| Heuristic-seeded NSGA-II | 0% | 0.000 | 1500 | 6.9 | repair collapse |
Mean over 1 seeds (the heuristic is deterministic: one run).
Closest attempts that failed
For methods that found nothing feasible: their least-infeasible design, with its violations marked on its page.
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 | 21% | 65% | 50% | 6% | – | 99% | 10% | 1% |
| Random search | 99% | 100% | 100% | 100% | 64% | 99% | 100% | 99% |
| Simulated annealing | 84% | 93% | 81% | 85% | 23% | 99% | 80% | 80% |
| NSGA-II | 70% | 94% | 64% | 89% | 22% | 99% | 69% | 83% |
| Random sketch + repair | 90% | 100% | 99% | 85% | 38% | 83% | 100% | 89% |
| Heuristic-seeded NSGA-II | 39% | 91% | 85% | 20% | 5% | 100% | 27% | 22% |