for all $i \in \mathcal{T}$

$V_i \leftarrow v_i(0), a_i \leftarrow 0$

end for

${\rm left} \leftarrow m$

while ${\rm left} > 0$ do

$i \leftarrow \arg\!\max_{i \in \mathcal{T} }V_i$, $a_i \leftarrow a_i + 1$, ${\rm left} \leftarrow {\rm left} - 1$, $V_i \leftarrow W_i^{a_i}(0)$

end while

$t_m \leftarrow 0$, $k \leftarrow 0$

while $t_m< t_{\rm e}$ do

${\boldsymbol I} \leftarrow \emptyset$

for all $\forall i, j \in \mathcal{T}$

if $\exists t$ such that $\frac{\partial W_i^{a_i - 1}(t)}{\partial t} < \frac{\partial W_j^{a_j}(t)}{\partial t}$ then

$I_{ij} \leftarrow I_{ij}(A, t_m)$

if $I_{ij} < t_{\rm e}$ then

${\boldsymbol I} \leftarrow {\boldsymbol I} \cup I_{ij}$

end if

end if

end for

if ${\boldsymbol I} = \emptyset$ then

break

end if

$I_{ij} \leftarrow \min({\boldsymbol I})$

if $W_i^{a_i - 1}(I_{ij} - \Delta t) \ge W_j^{a_j}(I_{ij} - \Delta t)$ then

$\tau_k \leftarrow I_{ij}, t_m \leftarrow I_{ij}, a_i \leftarrow a_i - 1, a_j \leftarrow a_j + 1, c_{ij}^k \leftarrow 1, k \leftarrow k + 1$

end if

end while

$\Psi \leftarrow \emptyset$

for all $\rho \in \{0, \ldots, R_i\}, \rho&apos; \in \{0, \ldots, R_j\}$

$\Psi \leftarrow \Psi \cup \{\theta({\rm Tr})\} \cup \{\theta({\rm Tr}) + d_{ij}\},$ where ${\rm Tr} = (i, j, a_i, a_j, \rho, \rho&apos;)$

end for

run SCOUT-D, using $\Psi$ as the time points set