Table 4.

The parameter levels for parameter tuning the developed algorithms

Algorithm	Factor	Level
H-MO-1 & H-MO-2	$N$= The number of particles	A1 = 10 A2 = 20 A3 = 30
	$V_{\mathit{max}}$=maximal velocity	B1 = 5 B2 = 10 B3 = 20
	$w$=Inertial weight	C1 = 0.2 C2 = 0.5 C3 = 0.7
	$c_1$ and $c_2$=Learning factors	D1 = 0.1 D2 = 0.2 D3 = 0.3
	Max iteration	E1 = 100 E2 = 200 E3 = 300
	$P_n$=Initialize the papulation size (TLBO)	F1 = 20 F2 = 40 F3 = 60
	$G_n$=The number of generations	G1 = 50 G2 = 100 G3 = 150
	$D_n$=The number of design variables	H1 = 2 H2 = 4 H3 = 6
	$(U_L,L_L)$=Limits of design variables	J1 = (0.1, 0.2) J2 = (0.25, 0,45) J3 = (0.3, 0.75)
H-MO-3	$N$= The number of particles,	A1 = 10 A2 = 20 A3 = 30
	$V_{\mathit{max}}$=maximal velocity,	B1 = 5 B2 = 10 B3 = 20
	$w$=Inertial weight,	C1 = 0.2 C2 = 0.5 C3 = 0.7
	$c_1$ and $c_2$=Learning factors	D1 = 0.1 D2 = 0.2 D3 = 0.3
	Max Iteration	E1 = 100 E2 = 200 E3 = 300
	$P_n$=Initialize the papulation size (TLBO)	F1 = 20 F2 = 40 F3 = 60
	$G_n$=The number of generations	G1 = 50 G2 = 100 G3 = 150
	$D_n$=The number of design variables	H1 = 2 H2 = 4 H3 = 6
	$(U_L,L_L)$=Limits of design variables	J1 = (0.1, 0.2) J2 = (0.25, 0,45) J3 = (0.3, 0.75)
	$m-rate$=Mutation rate	K1 = 0.15 K2 = 0.25 K3 = 0.35
	$c-rate$=Crossover rate	L1 = 0.35 L2 = 0.55 L3 = 0.95