Cement Transport Vehicle Routing with a Hybrid Sine Cosine Optimization Algorithm

Table 3

Best solutions obtained in case study 1 with different algorithms after 20 runs.

	Distribution of optimum solutions					Max	Min	Mean
HSCA	67.5	68	67.5	67.5	67.5	69	67.5	67.675
	68.5	67.5	67.5	67.5	67.5
	67.5	68	68	68	68
	67.5	67.5	67.5	67.5	67.5
SCA	69	68	69	68	68	69	67.5	68.025
	68	69.5	67.5	67.5	68
	69	68	67.5	67.5	67.5
	68	67.5	68	67.5	67.5
DA	71.5	67.5	71.5	68	67.5	71.5	67.5	68.725
	69	70	70.5	68	69
	70	67.5	67.5	69	68
	67.5	68	68	67.5	69
ALO	71.5	68	71.5	68	67.5	71.5	67.5	69.150
	69	70	70.5	68	69
	70	68	71	69	68
	71.5	68	68	67.5	69
MHPSO	69.5	67.5	69	69	70	70	67.5	68.875
	69.5	70	69	67.5	67.5
	69	69.5	69	70	67.5
	70	69	67.5	70	67.5
PSO	67.5	70	70	69	69	70	67.5	68.950
	68	69	70	70	68.5
	68.5	68.5	67.5	68	70
	70	67.5	69.5	69	69.5
DPGA	70	69	67.5	71	69	72	67.5	69.550
	70.5	72	67.5	71.5	69
	67.5	69	71	70	67.5
	70.5	69	69.5	71	69
SGA	69	72	73.5	69	70	75.5	67.5	70.425
	71	67.5	69	69	75.5
	70	69.5	69	73	69
	74	70	69.5	69	70

Bold values represent better HSCA search results than other algorithms.