Optimization Problems ===================== Optimization problems expose typed bounds, solver-independent constraints, and problem-specific representative baseline `solve()` implementations. The smooth continuous packaged benchmarks in this family continue to use SciPy baselines. If you install ``design-research-problems[solvers]``, the open-ended battery co-design optimizer will automatically prefer a ``pymoo`` genetic search, then a ``nevergrad`` derivative-free search, and otherwise fall back to the built-in deterministic local search. See :doc:`../problem_catalog/optimization` for the generated per-problem catalog pages. The packaged entries include: - `battery_pack_18650_open_ended_capacity_max`, an explicit 18650 transition-program co-design problem that maximizes delivered capacity under the shared battery backend. - `gmpb_default_dynamic_min`, a stateful dynamic wrapper that negates the native Generalized Moving Peaks Benchmark maximization score to fit this package's minimization-oriented optimization API. - `battery_pack_18650_series_parallel_cost_min`, a fixed-topology integer sizing problem over canonical rectangular 18650 battery packs that reuses the shared battery backend. - `planar_truss_span_mass_min`, a fixed-joint binary planar-truss problem that minimizes structural mass under hard factor-of-safety and deflection limits. - `planar_truss_span_deflection_min`, a fixed-joint binary planar-truss problem that minimizes structural deflection under hard factor-of-safety and mass limits. - `planar_truss_span_fos_max`, a fixed-joint binary planar-truss problem that maximizes factor of safety under hard mass and deflection limits. - `space_truss_span_mass_min`, a fixed-joint binary 3D space-truss problem that minimizes structural mass under hard factor-of-safety and deflection limits. - `pill_capsule_min_area`, a compact nonlinear constrained problem with two continuous variables. - `moneymaker_hip_pump_cost_min`, a citation-backed scalarized cost minimization benchmark derived from the MoneyMaker Hip Pump studies. - `treadle_pump_ide_material_min`, a citation-backed scalarized material minimization benchmark derived from the IDE-style treadle pump studies.