hard · flats · 2 storeys
B0053: a triplex on a 15.9 × 19.8 m lot
3 dwellings, 18 rooms. No method found a design meeting every constraint within the budget.
Requirements
- Lot
- 15.9 × 19.8 m (315 m²)
- Street side faces
- 345° (0 = north)
- Setbacks front / rear / left / right
- 3.6 / 6.4 / 1.7 / 1.6 m
- Storeys × height
- 2 × 2.8 m
- Shared core
- yes (access gallery + stair)
- Open space, net of parking
- ≥ 28% of the lot
- Parking spaces
- 2
- Courtyard
- not required
- Tightness (programme / buildable volume)
- 0.809
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 |
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 | 416 | 1.4 | |
| Random search | 0% | 0.000 | 1500 | 5.2 | |
| Simulated annealing | 0% | 0.000 | 1500 | 4.7 | |
| NSGA-II | 0% | 0.000 | 1500 | 5.6 | |
| CP-SAT | 0% | 0.000 | 0 | 0.1 | solver infeasible |
| Random sketch + repair | 0% | 0.000 | 1500 | 5.5 | repair collapse |
| Heuristic-seeded NSGA-II | 0% | 0.000 | 1500 | 5.4 | 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 | 29% | 78% | 100% | 100% | – | 1% | – | 1% |
| Random search | 100% | 100% | 96% | 100% | 45% | 90% | 82% | 96% |
| Simulated annealing | 91% | 97% | 78% | 100% | 12% | 64% | 64% | 64% |
| NSGA-II | 87% | 100% | 54% | 100% | 12% | 57% | 69% | 59% |
| Random sketch + repair | 84% | 100% | 86% | 100% | 8% | 43% | 75% | 57% |
| Heuristic-seeded NSGA-II | 49% | 94% | 99% | 100% | 4% | 17% | 30% | 18% |