Cement Transport Vehicle Routing with a Hybrid Sine Cosine Optimization Algorithm

Table 5

Best solutions obtained with different algorithms after 20 runs in case study 2.

	Distribution of optimum solutions					Max	Min	Mean	% dev best solution (%)
HSCA	783.81	838.27	748.79	822.01	746.90	849.61	701.16	791.59	0.0
	834.89	799.94	849.61	821.61	780.01
	793.50	701.16	800.64	771.84	821.79
	806.97	768.76	844.78	719.23	777.37
SCA	928.49	994.70	1029.05	1026.16	885.60	1119.50	804.05	960.58	14.7
	888.46	1080.39	1029.57	923.55	804.05
	1119.50	1018.73	946.19	947.45	945.02
	985.59	959.19	893.72	853.84	952.38
DA	1122.72	1036.27	1153.79	1095.20	1158.85	1308.59	964.44	1132.01	37.5
	1122.29	1101.74	1079.45	1197.04	1250.21
	1128.74	1246.84	1061.99	1308.59	969.30
	964.44	1230.52	1125.79	1138.42	1148.06
ALO	1165.86	951.44	1049.49	1173.53	971.98	1221.77	944.21	1049.69	34.7
	1066.32	1087.11	947.10	1089.85	1027.15
	1061.55	1021.48	1061.00	1045.88	944.21
	1022.59	1007.74	1098.78	1221.77	978.85
PSO	946.91	987.62	1053.83	1209.33	1042.76	1209.33	819.48	965.35	16.9
	1140.71	953.78	881.51	820.44	924.56
	983.83	823.34	1068.28	1019.84	978.39
	1056.59	819.48	872.88	837.93	884.95

Bold values represent better HSCA search results than other algorithms.