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"facility_cost_metadata": { "method": "centrality_scaled", "base_cost": 1000, "heterogeneity": 0.25, "range": [ 750, 1250 ], "centrality_metric": "mean_travel_time_to_customers", "formula": "f_i = base_cost * (1 + heterogeneity * (2*a_i - 1)); a_i = (max_h dbar_h - dbar_i) / (max_h dbar_h - min_h dbar_h); dbar_i = mean_j d_ij over customers j; closer to customers (lower dbar_i) => higher a_i => higher f_i" } }