Table 5.

Definitions to comprise the Lagrangian expression.

$F(P_T,\delta ,\theta ,w)$	$G(P_T,\delta ,\theta ,w)$	$H(P_T,\delta ,\theta ,w)$	$I(P_T,\delta ,\theta ,w)$
$\frac{{\omega }_R{R}_U+{\omega }_E{E}_U}{{\omega }_P{P}_{\mathcal{T}}}$	$R_2-R_1\le 0$	$\varsigma -R_U\le 0$	$\xi -E_U\le 0$