easy · flats · 2 storeys
B0041: a triplex on a 15.9 × 25.9 m lot
3 dwellings, 18 rooms. The pooled front across all methods holds 273 nondominated designs.
Requirements
- Lot
- 15.9 × 25.9 m (412 m²)
- Street side faces
- 165° (0 = north)
- Setbacks front / rear / left / right
- 3.3 / 4.8 / 1.4 / 1.8 m
- Storeys × height
- 2 × 2.8 m
- Shared core
- yes (access gallery + stair)
- Open space, net of parking
- ≥ 41% of the lot
- Parking spaces
- 0
- Courtyard
- not required
- Tightness (programme / buildable volume)
- 0.442
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 | 433 | 1.7 | |
| Random search | 0% | 0.000 | 1500 | 5.8 | |
| Simulated annealing | 33% | 0.027 | 1500 | 5.9 | |
| NSGA-II | 67% | 0.090 | 1500 | 7.8 | |
| CP-SAT | 0% | 0.000 | 0 | 4.6 | solver timeout |
| Random sketch + repair | 33% | 0.039 | 1500 | 6.9 | repair collapse |
| Heuristic-seeded NSGA-II | 100% | 0.110 | 1500 | 7.2 | 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 | 4% | 31% | 100% | – | – | 0% | 2% | 0% |
| Random search | 48% | 100% | 100% | 55% | 32% | 86% | 100% | 94% |
| Simulated annealing | 24% | 73% | 71% | 20% | 7% | 60% | 75% | 61% |
| NSGA-II | 25% | 68% | 58% | 15% | 7% | 36% | 61% | 42% |
| Random sketch + repair | 38% | 67% | 78% | 9% | 9% | 50% | 73% | 51% |
| Heuristic-seeded NSGA-II | 23% | 81% | 84% | 8% | 4% | 26% | 21% | 22% |