MCM/A题/数值分析检验/Prompt/8.md

TASK: Global sensitivity on TTE using Sobol (Saltelli sampling), deterministic.

INPUT DATA:

• z0 = 1.00
• Baseline params from BASELINE_CONFIG_v1
• Select exactly 6 uncertain scalar parameters (must exist in params): k_L, k_C, k_N, κ (signal exponent), R_ref, α_Q
• Define ±20% uniform ranges around baseline for each.
• Sampling: N_base = 512 Saltelli scheme with seed = 20260201

METHODOLOGY:

1. Generate Saltelli samples (A, B, A_Bi matrices).
2. For each sample, run simulation to get TTE_hours.
3. Compute Sobol first-order S_i and total-order ST_i.

DELIVERABLES: A) SOBOL_TABLE_v1 (CSV): param, S_i, ST_i B) SOBOL_RANKING_v1 (JSON): params ordered by ST_i descending C) COMPUTE_LOG_v1 (JSON): N_evals_total, failures_count (must be 0)

VALIDATION:

• failures_count must be 0.
• All S_i and ST_i must lie in [-0.05, 1.05] else FAIL (numerical sanity).

OUTPUT FORMAT: CSV, JSON, JSON. No prose.