. 2021 Oct 7;312(2):761–825. doi: 10.1007/s10479-021-04238-2

Table 5.

The average results of objective functions and CPU times (based on seconds) of the developed method

Problem size	Objective function	CPLEX	CPU	H-MO-1	CPU	H-MO-2	CPU	H-MO-3	CPU
ES1	OF₁	107,122.19	17	156,789.87	17	134,509.21	15	126,738.35	12
	OF₂	2230.13		2765.32		2562.49		2459.21
	OF₃	106.12		187.29		156.13		126.07
	OF₄	54.27		82.06		78.52		67.35
ES2	OF₁	108,455.45	58	158,305.13	48	139,872.28	38	128,972.29	25
	OF₂	2268.32		2798.29		2588.31		2567.34
	OF₃	111.53		191.67		160.52		131.18
	OF₄	58.74		85.73		81.32		71.07
ES3	OF₁	112,045.27	132	162,340.73	78	140,567.23	53	128,972.29	38
	OF₂	2297.84		2834.56		2612.76		2567.34
	OF₃	117.62		209.54		167.39		131.18
	OF₄	61.89		89.21		86.41		71.07
ES4	OF₁	113,512.36	468	168,709.42	82	142,221.87	71	130,413.13	58
	OF₂	2367.29		2889.06		2656.32		2589.94
	OF₃	121.03		219.88		171.12		138.53
	OF₄	67.52		94.67		91.56		78.63
ES5	OF₁	114,290.02	778	175,691.39	112	146,809.31	83	139,405.21	64
	OF₂	2396.31		2923.52		2698.41		2632.16
	OF₃	133.57		267.37		178.47		143.79
	OF₄	74.41		112.05		98.12		83.72
EM1	OF₁	–	–	181,230.15	134	149,886.29	96	145,821.39	78
	OF₂	–		3123.75		2723.53		2719.64
	OF₃	–		273.28		185.28		157.35
	OF₄	–		121.89		107.72		97.24
EM2	OF₁	–	–	187,963.65	156	158,902.29	112	156,042.52	83
	OF₂	–		3623.42		2823.53		2785.21
	OF₃	–		283.04		195.29		163.52
	OF₄	–		129.42		117.09		112.83
EM3	OF₁	–	–	192,938.72	178	169,809.27	121	168,431.48	97
	OF₂	–		3731.56		2909.53		2826.81
	OF₃	–		292.63		215.54		171.29
	OF₄	–		134.04		130.65		123.52
EM4	OF₁	–	–	210,453.31	193	178,659.34	138	173,980.14	110
	OF₂	–		3865.43		3278.87		2934.76
	OF₃	–		312.78		279.32		183.03
	OF₄	–		168.78		148.29		133.67
EM5	OF₁	–	–	218,309.47	219	187,890.32	158	181,566.23	120
	OF₂	–		3963.31		3429.89		3259.31
	OF₃	–		378.23		287.45		194.45
	OF₄	–		196.62		178.89		145.78
Avg. CPU	–	–	34.2	–	121.7	–	88.5	–	68.5