Because we set up a connection between this variational optimization problem and 3-D wavelet transforms, for a given scale m, the optimal control problem can be expressed as α ˆ m = argmin α m ∈ A m J [ C sim ( x ), C reg ( x ), ϕ u ( x, α m ) ], where A m stands for the admissible parameter set.
So, for given positive integers ( rho ) and m, the optimal value of k can be obtained from (32).
When there is an increase in the value of (M), the optimal order quantity (Q^) increases, whereas the optimal total cost ({text{TC}}^) decreases.
Studies reveal that the optimal tamper radius for most compaction patterns with medium to high applied energies is 1.5 2 m, the optimal number of drops is 25 and the optimal grid spacing is 6 7 m.
Results show that in the shallowest range of depths (3500 6000 m), the optimal configurations for all considered performance indicators are EGS between 5500 and 6000 m with a Kalina cycle for cogeneration, and a district heating network with an installed capacity between 20 and 35 MWth.
Substituting Equation 29 in Equation 19 and computing the square residual error E m numerically using the Gauss quadrature formulae with eight node points followed by minimizing E m, the optimal values of the convergence control parameters C1, C2, C3,⋯, C m are obtained.
