View Single Post
Old 09-17-24 | 10:36 AM
  #27  
Cornbiker's Avatar
Cornbiker
Full Member
 
Joined: Jul 2024
Posts: 216
Likes: 637
From: Eastern Iowa

Bikes: Canyon Endurace 7, Trek FX 2, Cannondale H400, Jazz Latitude, Bergamo (Made by Chiorda)

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.
Cornbiker is offline  
Reply