A Modified Bat Algorithm with Conjugate Gradient Method for Global Optimization

Table 1

Comparisons of the new algorithm against SS and HS algorithms for a total of 30 test problems.

Prob.	New algorithm; NOI/NOF/TIME	SS; NOI/NOF/TIME	HS; NOI/NOF/TIME
1	100/253/0.14	324/6035/3.30	515/9706/2.69
2	406/886/2.03	413/890/1.99	399/876/2.15
3	823/2149/1.13	856/2120/1.07	826/2199/1.97
4	115/300/0.14	118/301/0.17	122/315/0.19
5	100/387/0.13	275/5485/2.14	168/1920/0.80
6	586/990/1.60	6577/18678/4.66	6858/20495/6.74
7	31/85/0.15	43/111/0.22	41/102/0.17
8	1029/2605/1.40	1044/2766/1.55	1028/2976/1.66
9	2377/4871/2.30	3588/7178/7.30	3674/7475/8.88
10	466/861/2.55	18785/503439/7.63	19344/517136/9.20
11	186/433/1.01	8659/270930/5.84	8250/256101/6.70
12	114/303/0.15	319/3882/1.70	280/2797/5.84
13	79/220/0.10	75/242/0.12	74/244/0.11
14	60/130/0.40	125/2139/7.13	161/2834/3.44
15	455/985/0.52	459/963/0.67	469/999/0.66
16	55/122/0.01	60/130/0.11	66/137/0.09
17	60/150/0.12	78/168/0.17	77/170/0.15
18	763/1587/0.89	699/1487/0.73	792/1697/0.92
19	64/148/0.22	122/1900/2.34	79/180/0.39
20	111/350/0.30	118/338/0.48	112/320/0.42
21	804/3213/1.55	430/1899/4.83	571/5294/5.79
22	62/265/0.41	74/356/0.77	2074/2223/9.59
23	4422/9553/1.23	20000/167265/5.95	19343/128760/5.22
24	61/211/0.32	564/15343/3.83	459/13555/3.39
25	449/1081/0.50	484/1111/0.75	541/1145/0.67
26	58/155/0.09	57/158/0.06	68/329/0.15
27	83/200/0.12	81/191/0.08	80/191/0.10
28	434/1129/0.65	495/1085/0.60	493/1077/0.63
29	530/1264/0.63	939/2239/1.09	953/2233/1.22
30	567/1430/0.90	19014/581435/2.76	18134/543276/2.13
Total	15420/35425/23.18	67795/66455/156.89	146559/894217/176.58