Co-Design Dedicated System for Efficient Object Tracking Using Swarm Intelligence-Oriented Search Strategies

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. 2023 Jun 25;23(13):5881. doi: 10.3390/s23135881

Algorithm 7 FWA main steps

$Define$ : $N_{f}$ , a, b, m, $ξ$ , $f (x)$ , T
$Select$ randomically $N_{f}$ sites for fireworks detonation;
t: = 1
while ( $t \leq N G_{m a x}$ ) and (solution not yet found) do
$Detonate$ the $N_{f}$ fireworks in the selected locations with $s_{i} = m \cdot \frac{ξ + y_{w o r s t} - f (x_{i})}{ξ + \sum_{i = 1}^{n} (y_{w o r s t} - f (x_{i}))}$ sparks each
for i: = $1, \dots, N_{f}$ do
if $s_{i} < a \cdot m,$ then
$Compute$ ${\hat{s}}_{i} = ⌈ a \cdot m ⌉$
else if $s_{i}$ $> b \cdot m,$ $a < b < 1,$
$Compute$ ${\hat{s}}_{i} = ⌊ b \cdot m ⌋$
else
$Compute$ ${\hat{s}}_{i} = ⌊ s_{i} ⌋$
end if
$Yield$ location of ${\hat{s}}_{i}$ sparks $x_{i}$ using the 5 steps:
$Initiate$ a spark location ${\hat{x}}_{j} = x_{i}$
$Compute$ $z = ⌈ d \cdot r ⌉$
$Choose$ randomically z dimensions of ${\hat{x}}_{j}$
$Compute$ displacement $h = A_{i} \cdot r$
for each dimension ${\hat{x}}_{k}^{j} \in z$ do
${\hat{x}}_{k}^{j} = {\hat{x}}_{k}^{j} + h$
if $({\hat{x}}_{k}^{j} < {\hat{x}}_{k}^{m e l h o r})$ or $({\hat{x}}_{k}^{j} > {\hat{x}}_{k}^{p i o r})$ then
${\hat{x}}_{k}^{j} = {\hat{x}}_{k}^{b e s t} + | {\hat{x}}_{k}^{j} |$ % $({\hat{x}}_{k}^{w o r s t} - {\hat{x}}_{k}^{b e s t})$
end if
end for
end for
for k: = $1, \dots, \hat{m}$ do
$Select$ randomically firework $x_{j}$ .
$Yield$ one spark using the 5 steps:
$Initiate$ a spark location ${\hat{x}}_{j} = x_{i}$
$Compute$ $z = ⌈ d \cdot r ⌉$
$Choose$ randomically z dimensions of ${\hat{x}}_{j}$
$Compute$ Gaussian explosion coefficient g
for each diemnsion ${\hat{x}}_{k}^{j} \in z$ do
${\hat{x}}_{k}^{j} = {\hat{x}}_{k}^{j} \cdot g$
if $({\hat{x}}_{k}^{j} < {\hat{x}}_{k}^{b e s t})$ or $({\hat{x}}_{k}^{j} > {\hat{x}}_{k}^{w o r s t})$ then
${\hat{x}}_{k}^{j} = {\hat{x}}_{k}^{b e s t} + | {\hat{x}}_{k}^{j} | % ({\hat{x}}_{k}^{w o r s t} - {\hat{x}}_{k}^{b e s t})$
end if
end for
end for
$Select$ the best site and keep for the next iteration
$Select$ randomically $N_{f} - 1$ locations for 2 spark types
$Select$ Current fireworks;
t: = t + 1
end while
$Return$ best solution