easy · flats · 2 storeys
B0003: a fourplex on a 15 × 24.2 m lot
4 dwellings, 20 rooms. The pooled front across all methods holds 118 nondominated designs.
Requirements
- Lot
- 15 × 24.2 m (363 m²)
- Street side faces
- 150° (0 = north)
- Setbacks front / rear / left / right
- 3.9 / 5.4 / 1.4 / 1.1 m
- Storeys × height
- 2 × 2.8 m
- Shared core
- yes (access gallery + stair)
- Open space, net of parking
- ≥ 40% of the lot
- Parking spaces
- 2
- Courtyard
- not required
- Tightness (programme / buildable volume)
- 0.538
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 | 1BR | 1 | 46 | entry, living, kitchen, bathroom, bedroom primary |
| 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% | 0.154 | 565 | 2.0 | |
| Random search | 0% | 0.000 | 1500 | 5.0 | |
| Simulated annealing | 0% | 0.000 | 1500 | 4.3 | |
| NSGA-II | 33% | 0.017 | 1500 | 5.1 | |
| CP-SAT | 33% | 0.025 | 4 | 5.5 | solver timeout |
| Random sketch + repair | 0% | 0.000 | 1500 | 4.2 | repair collapse |
| Heuristic-seeded NSGA-II | 0% | 0.000 | 1500 | 4.2 | 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 | C13 |
|---|---|---|---|---|---|---|---|---|---|
| Heuristic | 9% | 39% | 12% | 0% | – | 2% | 12% | 1% | – |
| Random search | 69% | 100% | 100% | 67% | 22% | 95% | 100% | 93% | – |
| Simulated annealing | 58% | 90% | 89% | 36% | 12% | 89% | 86% | 79% | – |
| NSGA-II | 57% | 89% | 95% | 35% | 7% | 55% | 73% | 41% | – |
| Random sketch + repair | 61% | 89% | 76% | 8% | 7% | 99% | 60% | 70% | 0% |
| Heuristic-seeded NSGA-II | 53% | 97% | 93% | 52% | 6% | 100% | 28% | 56% | – |