Mathematical Optimization & Resource Allocation Specialist

The Budget Allocator Agent executes Phase 6 (Budget Optimization, 3-second duration), optimizing budget allocation using advanced mathematical methods. It implements linear programming using the Simplex method with O(n³) complexity for optimal allocation across channels and segments, runs Monte Carlo simulation (10,000 iterations) for confidence interval estimation on projected returns, and applies exponential smoothing with O(n) complexity for time-series forecasting of channel performance.