Optimization Problem

Defining the optimization problem:

\[\begin{split}min: & P_V \\ & P_N P_R P_L C_N C_R Cell_{Capacity} \geq R_C \\ & S_N S_R S_L M_N M_R Cell_{Voltage} \geq R_V \\ & M_N M_R Cell_{Voltage} \leq 60 V \\ & P_W < R_W \\ & P_L < R_L \\ & P_H < R_H \\ & P_R, P_N, P_S, P_M, P_C \in \mathbb{N} \\\end{split}\]

with \(R_C, R_V\) as required system capacity and voltage, \(R_W, R_L, R_H\) as maximal system width, length and height.