An Improved Harmony Search Based on Teaching-Learning Strategy for Unconstrained Optimization Problems

Table 10

The effect of HMS on the performance of the HSTL algorithm (D = 50, FEs = 25000).

HMS	𝐹1	𝐹2	𝐹3	𝐹4	𝐹5	𝐹6	𝐹7	𝐹8	𝐹9	𝐹10
5	𝟕.𝟎𝟐𝐄−𝟎𝟔	1.28𝐸+00	5.30𝐸−03	𝟏.𝟏𝟐𝐄−𝟎𝟔	−4.82𝐸+01	𝟑.𝟐𝟑𝐄−𝟎𝟑	4.97𝐸−02	7.23𝐸+01	1.36𝐸−03	1.36𝐸−03
10	2.10𝐸−05	8.84𝐸−01	2.71𝐸−03	1.26𝐸−06	−4.82𝐸+01	4.83𝐸−03	𝟕.𝟏𝟏𝐄−𝟏𝟎	4.39𝐸+01	1.14𝐸−03	𝟒.𝟗𝟐𝐄−𝟎𝟖
15	6.98𝐸−05	7.11𝐸−01	4.94𝐸−04	1.29𝐸−06	−4.83𝐸+01	6.93𝐸−03	7.66𝐸−09	4.35𝐸+01	𝟏.𝟎𝟔𝐄−𝟎𝟑	2.19𝐸−07
20	1.03𝐸−04	7.07𝐸−01	8.64𝐸−04	1.58𝐸−06	−4.85𝐸+01	9.06𝐸−03	4.44𝐸−08	𝟒.𝟏𝟔𝐄+𝟎𝟏	1.16𝐸−03	3.70𝐸−07
25	1.40𝐸−04	7.23𝐸−01	2.23𝐸−03	1.47𝐸−06	−4.80𝐸+01	1.17𝐸−02	7.97𝐸−08	4.55𝐸+01	1.27𝐸−03	8.60𝐸−07
30	2.05𝐸−04	7.72𝐸−01	𝟏.𝟖𝟐𝐄−𝟎𝟔	1.90𝐸−06	−4.81𝐸+01	1.46𝐸−02	3.07𝐸−07	4.39𝐸+01	1.14𝐸−03	1.78𝐸−06
35	2.85𝐸−04	𝟕.𝟎𝟑𝐄−𝟎𝟏	2.21𝐸−06	1.69𝐸−06	−4.82𝐸+01	1.61𝐸−02	4.45𝐸−07	4.37𝐸+01	1.09𝐸−03	2.54𝐸−06
40	3.81𝐸−04	7.49𝐸−01	3.34𝐸−06	2.00𝐸−06	−𝟒.𝟖𝟓𝐄+𝟎𝟏	1.97𝐸−02	6.64𝐸−07	4.46𝐸+01	1.22𝐸−03	3.88𝐸−06
HMS	𝐹11	𝐹12	𝐹13	𝐹14	𝐹15	𝐹16	𝐹17	𝐹18	𝐹19	𝐹20
05	𝟕.𝟗𝟕𝐄+𝟎𝟑	𝟑.𝟓𝟕𝐄+𝟎𝟎	−𝟒.𝟓𝟎𝐄+𝟎𝟐	−𝟒.𝟓𝟎𝐄+𝟎𝟐	6.45𝐸+02	−3.24𝐸+02	−1.80𝐸+02	−1.39𝐸+02	−8.04𝐸+02	9.41𝐸+00
10	2.13𝐸+04	2.72𝐸+01	−4.50𝐸+02	−4.50𝐸+02	5.21𝐸+02	−3.24𝐸+02	−1.80𝐸+02	−𝟏.𝟒𝟎𝐄+𝟎𝟐	−8.03𝐸+02	5.08𝐸+00
15	1.80𝐸+04	3.40𝐸+01	−4.50𝐸+02	−4.50𝐸+02	6.78𝐸+02	−3.24𝐸+02	−1.80𝐸+02	−1.40𝐸+02	−8.08𝐸+02	𝟒.𝟏𝟎𝐄+𝟎𝟎
20	1.82𝐸+04	3.93𝐸+01	−4.50𝐸+02	−4.49𝐸+02	5.96𝐸+02	−3.25𝐸+02	−1.80𝐸+02	−1.40𝐸+02	−8.10𝐸+02	4.20𝐸+00
25	9.80𝐸+03	5.43𝐸+01	−4.50𝐸+02	−4.48𝐸+02	𝟓.𝟏𝟗𝐄+𝟎𝟐	−3.24𝐸+02	−1.80𝐸+02	−1.40𝐸+02	−8.10𝐸+02	4.27𝐸+00
30	2.18𝐸+04	6.84𝐸+01	−4.50𝐸+02	−4.47𝐸+02	5.33𝐸+02	−3.25𝐸+02	−1.80𝐸+02	−1.40𝐸+02	−8.11𝐸+02	4.33𝐸+00
35	1.46𝐸+04	9.77𝐸+01	−4.50𝐸+02	−4.46𝐸+02	8.04𝐸+02	−𝟑.𝟐𝟔𝐄+𝟎𝟐	−𝟏.𝟖𝟎𝐄+𝟎𝟐	−1.40𝐸+02	−𝟖.𝟏𝟏𝐄+𝟎𝟐	4.24𝐸+00
40	1.24𝐸+04	1.18𝐸+02	−4.50𝐸+02	−4.44𝐸+02	8.18𝐸+02	−3.26𝐸+02	−1.80𝐸+02	−1.40𝐸+02	−8.10𝐸+02	4.29𝐸+00
HMS	𝐹21	𝐹22	𝐹23	𝐹24	𝐹25	𝐹26	𝐹27	𝐹28	𝐹29	𝐹30
05	2.02𝐸−01	9.64𝐸+00	−𝟒.𝟓𝟎𝐄+𝟎𝟐	4.74𝐸+02	−3.26𝐸+02	5.05𝐸−03	−4.50𝐸+02	6.01𝐸+02	−3.29𝐸+02	1.50𝐸−03
10	6.50𝐸−02	5.27𝐸+00	−4.50𝐸+02	4.71𝐸+02	−3.26𝐸+02	4.96𝐸−03	−4.50𝐸+02	7.29𝐸+02	−3.28𝐸+02	1.41𝐸−03
15	7.34𝐸−02	4.40𝐸+00	−4.50𝐸+02	𝟒.𝟕𝟎𝐄+𝟎𝟐	−3.27𝐸+02	𝟒.𝟖𝟔𝐄−𝟎𝟑	−4.50𝐸+02	𝟒.𝟏𝟗𝐄+𝟎𝟐	−3.29𝐸+02	2.21𝐸−02
20	5.28𝐸−02	4.27𝐸+00	−4.50𝐸+02	4.96𝐸+02	−3.26𝐸+02	5.08𝐸−03	−4.50𝐸+02	4.26𝐸+02	−3.29𝐸+02	𝟏.𝟐𝟓𝐄−𝟎𝟑
25	3.54𝐸−04	4.06𝐸+00	−4.50𝐸+02	4.93𝐸+02	−3.26𝐸+02	5.37𝐸−03	−4.50𝐸+02	9.77𝐸+02	−3.29𝐸+02	1.53𝐸−03
30	𝟑.𝟑𝟒𝐄−𝟎𝟒	𝟑.𝟖𝟎𝐄+𝟎𝟎	−4.50𝐸+02	4.91𝐸+02	−𝟑.𝟐𝟕𝐄+𝟎𝟐	5.22𝐸−03	−4.50𝐸+02	6.57𝐸+02	−𝟑.𝟐𝟗𝐄+𝟎𝟐	1.39𝐸−03
35	4.41𝐸−04	4.06𝐸+00	−4.50𝐸+02	4.93𝐸+02	−3.27𝐸+02	5.16𝐸−03	−4.50𝐸+02	5.06𝐸+02	−3.29𝐸+02	1.61𝐸−03
40	3.65𝐸−04	4.06𝐸+00	−4.50𝐸+02	4.86𝐸+02	−3.27𝐸+02	5.40𝐸−03	−𝟒.𝟓𝟎𝐄+𝟎𝟐	8.34𝐸+02	−3.29𝐸+02	1.45𝐸−03