Bare-Bones Teaching-Learning-Based Optimization

Table 3

Comparisons mean ± std of the solutions using different algorithms.

Fun	BBPSO	BBExp	BBDE	GBDE	MGBDE	BBTLBO
𝐹1	5.44𝑒−027±1.87𝑒−026	2.62𝑒−024±5.00𝑒−024	3.90𝑒−035±2.00𝑒−034	4.35𝑒−022±1.13𝑒−021	3.35𝑒−035±2.11𝑒−034	𝟎.𝟎±𝟎.𝟎
𝐹2	13800±2.11𝑒+004	1000±4.63𝑒+003	6.20𝑒−021±4.38𝑒−020	1400±4.52𝑒+003	1.28𝑒−032±8.37𝑒−032	𝟎.𝟎±𝟎.𝟎
𝐹3	1.32𝑒+000±3.18𝑒+000	2.22𝑒−002±7.55𝑒−003	1.64𝑒−002±9.57𝑒−003	2.49𝑒−002±9.88𝑒−003	1.16𝑒−002±5.26𝑒−003	𝟐.𝟐𝟕𝐞−𝟎𝟎𝟒±𝟏.𝟐𝟔𝐞−𝟎𝟎𝟒
𝐹4	5.60𝑒+000±9.28𝑒+000	9.60𝑒−001±4.27𝑒+000	7.89𝑒+001±3.05𝑒+002	8.40𝑒−001±9.12𝑒−001	1.08𝑒+000±1.28𝑒+000	𝟎.𝟎±𝟎.𝟎
𝐹5	1.24𝑒+004±6.66𝑒+003	4.41𝑒+003±3.37𝑒+003	2.09𝑒+000±4.00𝑒+000	5.36𝑒+003±3.26𝑒+003	7.57𝑒+002±1.16𝑒+003	𝟐.𝟏𝟔𝐞−𝟏𝟏𝟓±𝟏.𝟏𝟎𝐞−𝟏𝟏𝟒
𝐹6	1.67𝑒+001±9.19𝑒+000	1.20𝑒+000±5.22𝑒−001	1.39𝑒+001±4.47𝑒+000	3.60𝑒−001±1.95𝑒−001	1.10𝑒+000±2.94𝑒+000	𝟑.𝟔𝟑𝐞−𝟏𝟓𝟒±𝟏.𝟑𝟒𝐞−𝟏𝟓𝟑
𝐹7	2.34𝑒+001±1.32𝑒+001	1.00𝑒+000±3.03𝑒+000	4.06𝑒−019±2.15𝑒−018	6.00𝑒−001±2.40𝑒+000	2.00𝑒−001±1.41𝑒+000	𝟏.𝟏𝟔𝐞−𝟏𝟖𝟖±𝟎𝟎
𝐹8	1.87𝑒+002±1.34𝑒+002	1.58𝑒+002±7.00𝑒+001	1.16𝑒−001±2.35𝑒−001	1.72𝑒+002±6.67𝑒+001	2.49𝑒+001±1.99𝑒+001	𝟏.𝟎𝟕𝐞−𝟎𝟓𝟔±𝟒.𝟑𝟗𝐞−𝟎𝟓𝟔
𝐹9	7.07𝑒+001±1.48𝑒+002	𝟑.𝟓𝟕𝐞+𝟎𝟎𝟏±𝟐.𝟓𝟎𝐞+𝟎𝟎𝟏	2.76𝑒+001±1.06𝑒+001	3.17𝑒+001±2.07𝑒+001	2.76𝑒+001±1.46𝑒+001	2.83𝑒+001±3.41𝑒−001
𝐹10	1.06𝑒+001±9.29𝑒+000	1.52𝑒+000±5.11𝑒+000	1.34𝑒+000±1.15𝑒+000	2.59𝑒+000±6.45𝑒+000	5.54𝑒−001±2.79𝑒+000	𝟑.𝟓𝟓𝐞−𝟎𝟏𝟓±𝟎𝟎
𝐹11	1.16𝑒+002±3.53𝑒+001	1.81𝑒+001±7.28𝑒+000	6.76𝑒+001±3.89𝑒+001	1.55𝑒+001±5.96𝑒+000	2.03𝑒+001±9.23𝑒+000	𝟎.𝟎±𝟎.𝟎
𝐹12	2.73𝑒+000±2.11𝑒+000	1.20𝑒−001±4.42𝑒−001	1.73𝑒+000±1.32𝑒+000	1.21𝑒−001±3.37𝑒−001	5.17𝑒−001±8.67𝑒−001	𝟎.𝟎±𝟎.𝟎
𝐹13	2.14𝑒−002±4.11𝑒−002	2.30𝑒−003±4.29𝑒−003	4.07𝑒−002±4.89𝑒−002	3.08𝑒−003±7.42𝑒−003	4.63𝑒−003±7.16𝑒−003	𝟎.𝟎±𝟎.𝟎
𝐹14	3.64𝑒+003±6.28𝑒+002	2.58𝑒+003±5.51𝑒+002	2.30𝑒+003±4.09𝑒+002	2.49𝑒+003±5.41𝑒+002	2.60𝑒+003±5.05𝑒+002	𝟓.𝟓𝟖𝐞+𝟎𝟎𝟑±𝟕.𝟖𝟎𝐞+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
𝐹16	4.37𝑒−003±3.09𝑒−002	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
𝐹18	−5.60𝑒+000±3.41𝑒+000	−7.90𝑒+000±2.74𝑒+000	−7.09𝑒+000±3.33𝑒+000	−7.63𝑒+000±2.86𝑒+000	−8.01𝑒+000±3.00𝑒+000	−𝟗.𝟖𝟓𝐞+𝟎𝟎𝟎±𝟏.𝟐𝟐𝐞+𝟎𝟎𝟎
𝐹19	−5.97𝑒+000±3.31𝑒+000	−7.87𝑒+000±3.03𝑒+000	−6.21𝑒+000±3.66𝑒+000	−8.60𝑒+000±2.68𝑒+000	−8.37𝑒+000±2.90𝑒+000	−𝟗.𝟖𝟐𝐞+𝟎𝟎𝟎±𝟏.𝟕𝟖𝐞+𝟎𝟎𝟎
𝐹20	−5.81𝑒+000±3.65𝑒+000	−9.40𝑒+000±2.42𝑒+000	−6.02𝑒+000±3.77𝑒+000	−𝟗.𝟒𝟔𝐞+𝟎𝟎𝟎±𝟐.𝟐𝟒𝐞+𝟎𝟎𝟎	−9.38𝑒+000±2.51𝑒+000	−9.41𝑒+000±2.43𝑒+000