Bare-Bones Teaching-Learning-Based Optimization

Table 2

Comparisons mean ± std of the solutions using different 𝑢.

Fun	BBTLBO (𝑢=0.0)	BBTLBO (𝑢=0.1)	BBTLBO (𝑢=0.3)	BBTLBO (𝑢=0.5)	BBTLBO (𝑢=0.7)	BBTLBO (𝑢=0.9)	BBTLBO (𝑢=1.0)
𝐹1	1.75𝑒−001±1.21𝑒+000	6.89𝑒−071±1.01𝑒−070	1.23𝑒−163±00	1.21𝑒−256±00	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎
𝐹2	8.98𝑒−005±5.73𝑒−004	5.62𝑒−069±2.72𝑒−068	2.20𝑒−161±1.12𝑒−160	2.43𝑒−254±00	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎
𝐹3	1.20𝑒−001±6.34𝑒−002	5.91𝑒−003±1.44𝑒−003	1.01𝑒−003±3.48𝑒−004	4.35𝑒−004±1.97𝑒−004	2.35𝑒−004±1.30𝑒−004	2.27𝑒−004±1.26𝑒−004	𝟏.𝟗𝟗𝐞−𝟎𝟎𝟒±𝟏.𝟏𝟑𝐞−𝟎𝟎𝟒
𝐹4	7.65𝑒+002±5.83𝑒+002	4.80𝑒−001±8.86𝑒−001	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎
𝐹5	5.58𝑒+002±6.53𝑒+002	1.87𝑒−028±5.73𝑒−028	3.53𝑒−054±1.86𝑒−053	3.69𝑒−073±2.27𝑒−072	9.53𝑒−096±6.74𝑒−095	𝟐.𝟏𝟔𝐞−𝟏𝟏𝟓±𝟏.𝟏𝟎𝐞−𝟏𝟏𝟒	2.56𝑒−100±1.30𝑒−099
𝐹6	2.51𝑒+001±5.34𝑒+000	6.67𝑒−021±8.81𝑒−021	2.81𝑒−061±6.36𝑒−061	8.22𝑒−100±1.80𝑒−099	8.18𝑒−137±1.41𝑒−136	𝟑.𝟔𝟑𝐞−𝟏𝟓𝟒±𝟏.𝟑𝟒𝐞−𝟏𝟓𝟑	8.86𝑒−147±3.22𝑒−146
𝐹7	1.37𝑒−003±9.54𝑒−003	8.72𝑒−043±1.52𝑒−042	5.68𝑒−088±8.76𝑒−088	1.01𝑒−133±2.38𝑒−133	2.60𝑒−175±00	𝟏.𝟏𝟔𝐞−𝟏𝟖𝟖±𝟎𝟎	8.33𝑒−180±00
𝐹8	2.41𝑒+000±3.07𝑒+000	1.32𝑒−019±2.98𝑒−019	2.13𝑒−028±7.69𝑒−028	3.44𝑒−037±1.24𝑒−036	2.20𝑒−050±9.12𝑒−050	𝟏.𝟎𝟕𝐞−𝟎𝟓𝟔±𝟒.𝟑𝟗𝐞−𝟎𝟓𝟔	2.03𝑒−049±8.94𝑒−049
𝐹9	𝟐.𝟔𝟔𝐞+𝟎𝟎𝟏±𝟏.𝟕𝟗𝐞+𝟎𝟎𝟎	2.72𝑒+001±3.17𝑒−001	2.77𝑒+001±3.18𝑒−001	2.83𝑒+001±2.78𝑒−001	2.84𝑒+001±2.67𝑒−001	2.83𝑒+001±3.41𝑒−001	2.80𝑒+001±3.87𝑒−001
𝐹10	8.30𝑒+000±1.76𝑒+000	1.77𝑒−001±6.10𝑒−001	5.90𝑒−015±1.70𝑒−015	𝟑.𝟓𝟓𝐞−𝟎𝟏𝟓±𝟎𝟎	𝟑.𝟓𝟓𝐞−𝟎𝟏𝟓±𝟎𝟎	𝟑.𝟓𝟓𝐞−𝟎𝟏𝟓±𝟎𝟎	𝟑.𝟓𝟓𝐞−𝟎𝟏𝟓±𝟎𝟎
𝐹11	3.74𝑒+001±9.05𝑒+000	3.33𝑒+001±1.18𝑒+001	2.71𝑒+001±8.00𝑒+000	1.89𝑒+001±1.14𝑒+001	5.73𝑒+000±1.06𝑒+001	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎
𝐹12	8.15𝑒+000±1.93𝑒+000	3.38𝑒−001±1.16𝑒+000	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎
𝐹13	5.06𝑒−001±8.08𝑒−001	6.52𝑒−003±8.86𝑒−003	1.78𝑒−003±3.68𝑒−003	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎
𝐹14	𝟒.𝟑𝟑𝐞+𝟎𝟎𝟑±𝟔.𝟕𝟗𝐞+𝟎𝟎𝟐	4.67𝑒+003±6.10𝑒+002	5.17𝑒+003±6.68𝑒+002	5.59𝑒+003±6.85𝑒+002	5.53𝑒+003±7.10𝑒+002	5.58𝑒+003±7.80𝑒+002	5.40𝑒+003±6.53𝑒+002
𝐹15	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎
𝐹16	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎
𝐹17	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎	𝟎.𝟎±𝟎.𝟎
𝐹18	−7.71𝑒+000±3.47𝑒+000	−8.06𝑒+000±3.39𝑒+000	−9.64𝑒+000±1.81𝑒+000	−9.65𝑒+000±1.76𝑒+000	−𝟏.𝟎𝟐𝐞+𝟎𝟎𝟏±𝟔.𝟕𝟕𝐞−𝟎𝟎𝟑	−9.85𝑒+000±1.22𝑒+000	−9.93𝑒+000±1.12𝑒+000
𝐹19	−7.69𝑒+000±3.52𝑒+000	−8.13𝑒+000±3.36𝑒+000	−9.87𝑒+000±1.83𝑒+000	−𝟏.𝟎𝟑𝐞+𝟎𝟎𝟏±𝟗.𝟒𝟓𝐞−𝟎𝟎𝟏	−9.76𝑒+000±1.95𝑒+000	−9.82𝑒+000±1.78𝑒+000	−9.61𝑒+000±1.99𝑒+000
𝐹20	−8.12𝑒+000±3.53𝑒+000	−9.38𝑒+000±2.69𝑒+000	−1.01𝑒+001±1.65𝑒+000	−𝟏.𝟎𝟏𝐞+𝟎𝟎𝟏±𝟏.𝟔𝟏𝐞+𝟎𝟎𝟎	−9.70𝑒+000±2.28𝑒+000	−9.41𝑒+000±2.43𝑒+000	−1.00𝑒+001±1.69𝑒+000