Air Defense Matrix Simulator Math.js Dynamic Allocator

Tactical Radar Tracking Envelopes T-00:00.0s | Active Tracking
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Strategic Leakage Principle: Multi-tiered defense forces prioritization. When threat vectors exceed total interceptor stockpiles or layer bandwidth, the linear matrix allocation engine prioritizes high-threat trajectories, deliberately letting lower-value or low-$P_k$ targets breach outer rings to conserve high-cost missiles like THAAD and Patriot.
NBC Report Grounding: Under saturated missile logistics, defense forces are math-constrained to allow partial leakage of low-RCS or high-quantity salvos to ensure high-value asset survivability.
Allocation Matrix Solver
Total Threat 57
Stock Consumed 34 / 34
Projected Leakage 23
1. Interceptor Inventory Matrix
Layer Tier Range Ring Unit Cost Stock
THAAD (Tier 1) High Alt / Exosphere $12.6M
Patriot PAC-3 (Tier 2) Medium / Upper Atmosphere $4.1M
Iron Dome / C-RAM (Tier 3) Short-Range Point $0.1M
2. Active Threat Salvo Matrix
Threat Class Speed RCS ($m^2$) Salvo Qty
Ballistic Missile Mach 6.0 0.50
Cruise Missile Mach 1.8 0.10
Drone Swarm Mach 0.4 0.02
3. Computed Single-Shot Kill Probabilities ($P_k$)
4. Optimal Allocation Matrix ($X_{ij}$)