Variations in the Flow Approach to CFCLP-TC for Multiobjective Supply Chain Design

Table 2

Results of the first variation.

Size	With single source			Without single source			𝐷min	Time with; single source (seconds)	Time without; single source (seconds)
	Instance	|𝑆𝑖|	𝑅pos (𝑆𝑖)	|𝑆𝑖|	𝑅pos (𝑆𝑖)	𝐷avg
5_5_5_2	1	23	0.71875	32	1	0.99924159	0.98804728	8.838	9.068
	2	13	0.46428571	28	1	0.99736445	0.98254824	9.197	11.052
	3	15	0.53571429	28	1	0.99803935	0.99272805	9.606	10.751
	4	18	0.5625	32	1	0.99726561	0.97547912	14.514	15.811
	5	24	0.96	25	1	0.99932249	0.98894956	9.006	9.565
5_5_5_5	1	34	0.89473684	38	1	0.99955038	0.99126315	40.998	59.376
	2	8	0.2	40	1	0.99470283	0.97594721	55.89	68.319
	3	25	0.64102564	39	1	0.99933261	0.98922985	68.772	87.766
	4	30	0.76923077	39	1	0.99938233	0.99327893	55.651	93.328
	5	37	0.94871795	39	1	0.99993551	0.99766135	41.012	52.617
5_10_10_2	1	0	0	37	1	0.96917717	0.92948071	356.355	2294. 165
	2	0	0	39	1	0.98128174	0.96600743	193.005	371.465
	3	0	0	37	1	0.98124332	0.96250708	417.547	2212.05
	4	2	0.05	40	1	0.97790924	0.94280589	233.841	813.129
	5	0	0	37	1	0.96969167	0.91712171	259.442	1674.431
5_10_15_2	1	0	0	36	1	0.97493663	0.93690112	8042.069	29027.322
	2	0	0	36	1	0.98081129	0.95607975	11207.506	2668.63
	3	0	0	35	1	0.98012085	0.96681874	16262.752	8218.611
	4	0	0	37	1	0.98183982	0.96352299	23225.921	10991.189
	5	0	0	39	1	0.98417036	0.96930275	8734.642	6810.192
5_10_20_2	1	0	0	35	1	0.98737854	0.97111859	149028.323	364.128
	2	0	0	37	1	0.98613018	0.97454929	112315.372	24367.128
	3	0	0	35	1	0.99016256	0.9824318	246814.212	38991.51
	4	0	0	37	1	0.98522424	0.973581	240520	39919.572
	5	0	0	37	1	0.98692727	0.97677506	78406	32163.298