Table 21.

Unknown parameters obtained by the proposed algorithm for optimization of different cases of scenario II of problem 3.

		$\mathit{\beta }=\mathbf{0.0}$			$\mathit{\beta }=\mathbf{0.3}$			$\mathit{\beta }=\mathbf{0.6}$			$\mathit{\beta }=\mathbf{1.2}$
	${\mathit{\alpha }}_{\mathit{i}}$	${\mathit{\xi }}_{\mathit{i}}$	${\mathit{\beta }}_{\mathit{i}}$	${\mathit{\alpha }}_{\mathit{i}}$	${\mathit{\xi }}_{\mathit{i}}$	${\mathit{\beta }}_{\mathit{i}}$	${\mathit{\alpha }}_{\mathit{i}}$	${\mathit{\xi }}_{\mathit{i}}$	${\mathit{\beta }}_{\mathit{i}}$	${\mathit{\alpha }}_{\mathit{i}}$	${\mathit{\xi }}_{\mathit{i}}$	${\mathit{\beta }}_{\mathit{i}}$
1	−1.0680896			0.70101785			−1.343865			2.763393294
2	0.40354062	−1.4090674	−0.9321023	0.86698071	−0.675388	−0.5212876	0.13127215	4.23827851	−4.40871712	3.156345477	4.700776808	−2.08561482
3	−0.862177	−0.5357362	0.16038354	0.56728693	0.05022776	1.4536595	−0.73727	−1.1895848	3.039628159	−0.09117495	4.9999867	−3.43408732
4	−0.7122253	−0.0286262	−0.522483	−0.4077234	−0.555023	−0.0118765	−0.5529075	−1.0479314	2.310600138	0.090009341	2.195807641	−4.7506135
5	−0.4429424	−0.5243682	0.00017912	−0.5020269	0.21836618	−0.9132638	2.08866814	−0.1015598	−0.52072196	−1.20616021	0.156240585	−2.49993549
6	−0.6093197	0.28496279	−0.1850434	−0.6005535	−0.3823589	1.24380756	−0.6560448	−0.4923354	2.021261453	−1.81123359	0.211749304	−1.95915534
7	1.80716535	0.15184791	4.38926823	1.6425367	−0.2128676	0.26031718	2.19171938	−0.2435099	−2.43351116	0.532855338	0.349904423	4.542668621