Table 5 Solutions of the case study...

Table 5

Solutions of the case study principal instance and its derivatives

Solution
Instance	Time	Cost [US$]	N_c (%)	Solution type	CPU time [s]	GAP (%)
Data 1-1	12.2	40,185.40	100	D	3,600.00	0.36
	400	40,111.60			3,648.44	0.18
	400	40,083.18			748,088.34	0.09
Data 1-2	12.2	–	100	NS	3,600.00	–
	400	37,429.80		D	3,600.00	0.65
Data 2-1	12.2	20,134.50	79	ND	679.32	0.01
	400	20,134.50			474.66	0.01
Data 3-1	2.16	20,030.80	57	ND	0.74	0.00
	2.2	20,030.80			0.11	0.00
	2.3	20,030.80			0.31	0.00
	2.4	20,030.80			0.06	0.00
	2.5	20,030.80			0.72	0.00
	2.6	20,030.80			0.01	0.00
	2.7	20,030.80			0.39	0.00
	2.8	20,030.80			2.03	0.00
	3	20,030.80			0.47	0.00
Data 4-1	12.2	20,063.80	21	D	3,670.54	0.26
	400	20,058.30			3,600.08	0.24

Solution
Instance	Time	Cost [US$]	N_c (%)	Solution type	CPU time [s]	GAP (%)
Data 1-1	12.2	40,185.40	100	D	3,600.00	0.36
	400	40,111.60			3,648.44	0.18
	400	40,083.18			748,088.34	0.09
Data 1-2	12.2	–	100	NS	3,600.00	–
	400	37,429.80		D	3,600.00	0.65
Data 2-1	12.2	20,134.50	79	ND	679.32	0.01
	400	20,134.50			474.66	0.01
Data 3-1	2.16	20,030.80	57	ND	0.74	0.00
	2.2	20,030.80			0.11	0.00
	2.3	20,030.80			0.31	0.00
	2.4	20,030.80			0.06	0.00
	2.5	20,030.80			0.72	0.00
	2.6	20,030.80			0.01	0.00
	2.7	20,030.80			0.39	0.00
	2.8	20,030.80			2.03	0.00
	3	20,030.80			0.47	0.00
Data 4-1	12.2	20,063.80	21	D	3,670.54	0.26
	400	20,058.30			3,600.08	0.24

Notes:

“Time” denotes delivery time; “cost” denotes objective value; “N_c (%)” denotes the percentage of the total demand that is satisfied in the indicated instance; D denotes the dominated solution; ND denotes the nondominated solution; NS denotes no solution

Source: Created by authors

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