medium · flats · 2 storeys
B0045: a fourplex on a 17 × 26 m lot
4 dwellings, 24 rooms. The pooled front across all methods holds 175 nondominated designs.
Requirements
- Lot
- 17 × 26 m (442 m²)
- Street side faces
- 225° (0 = north)
- Setbacks front / rear / left / right
- 6.1 / 5.7 / 1.1 / 2.5 m
- Storeys × height
- 2 × 2.8 m
- Shared core
- yes (access gallery + stair)
- Open space, net of parking
- ≥ 34% of the lot
- Parking spaces
- 0
- Courtyard
- not required
- Tightness (programme / buildable volume)
- 0.695
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 | 100% | 0.216 | 542 | 2.6 | |
| Random search | 0% | 0.000 | 1500 | 6.2 | |
| Simulated annealing | 0% | 0.000 | 1500 | 6.1 | |
| NSGA-II | 0% | 0.000 | 1500 | 6.6 | |
| CP-SAT | 0% | 0.000 | 0 | 4.6 | solver timeout |
| Random sketch + repair | 33% | 0.058 | 1500 | 6.7 | repair collapse |
| Heuristic-seeded NSGA-II | 100% | 0.138 | 1500 | 8.3 |
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 | 27% | 29% | – | 2% | – | 0% | 1% | 0% |
| Random search | 89% | 100% | 99% | 93% | 46% | 97% | 100% | 98% |
| Simulated annealing | 61% | 96% | 90% | 44% | 17% | 89% | 95% | 75% |
| NSGA-II | 56% | 91% | 93% | 47% | 10% | 48% | 99% | 77% |
| Random sketch + repair | 69% | 88% | 93% | 19% | 19% | 58% | 64% | 64% |
| Heuristic-seeded NSGA-II | 47% | 58% | 25% | 9% | 4% | 18% | 38% | 15% |