Predictive Micro-to-Macro Variance Modeling: Utilizing Welford’s Algorithm to Compute Infrastructure Latency Scaling and Time-Delta Friction

import numpy as np import collections class NicholsonSystemSimulator: def __init__(self, target_velocity=100, initial_buffer=3.0): # 1. System Constants (Your Immutable Baseline)self.target_velocity = target_velocity self.b_base = initial_buffer # Your 3% static base bumper self.k_confidence = 2.0 # Confidence multiplier (2-sigma = 95.4% tracking window) # 2. PID Coefficients (The Kinetic Regulatory Valves) self.k_p = 0.5 # Proportional: Closes immediate error g