Lets apply a Pareto Optimization Formula to Power to Weight Ratio:
Maximize: P/W = P(W) / W
Subject to:
P(W) = Power Output (watts)
W = Weight (kilograms)
Constraints:
P(W) ≤ P_max (maximum power output)
W ≥ W_min (minimum weight for health)
W ≤ W_max (maximum weight for performance)
Pareto Front:
{(P, W) | P/W = optimal power-to-weight ratio}
Objective Functions:
f1(P, W) = P(W) (maximize power output)
f2(P, W) = 1/W (minimize weight)
Multi-Objective Optimization:
Minimize: [f1(P, W), -f2(P, W)]
Optimization Variables:
P (power output)
W (weight)
Imperfect, but better than nothing.