ILS Heuristics for the Single-Machine Scheduling Problem with Sequence-Dependent Family Setup Times to Minimize Total Tardiness

Table 4

Average RDIs (%) of the heuristics on large size instances.

	HGA			ILS_BASIC			ILS_DP			ILS_DP+PR
	Best	Worst	Avg	Best	Worst	Avg	Best	Worst	Avg	Best	Worst	Avg
	0.83	28.33	12.70	0.00	10.32	1.93	0.00	11.52	1.98	0.00	2.77	0.12
	0.83	40.00	26.58	0.00	14.06	1.91	0.00	15.45	2.33	0.00	9.32	0.73
	4.64	48.33	35.48	0.00	22.43	3.04	0.00	20.79	3.26	0.00	17.03	2.23
	2.89	52.50	38.62	0.00	33.19	4.94	0.00	30.86	5.73	0.00	23.93	4.69
	4.79	33.33	22.48	0.00	21.12	4.40	0.00	18.03	4.15	0.00	7.09	0.73
	10.08	45.00	33.87	0.00	26.61	5.39	0.00	26.22	4.38	0.00	17.88	2.78
	16.36	52.50	43.48	0.00	31.66	5.38	0.00	30.19	5.32	0.00	29.87	4.75
	17.03	54.17	46.86	0.00	38.82	6.74	0.00	36.73	6.61	0.00	35.65	7.00
	14.38	39.17	29.03	0.27	21.38	5.35	0.00	20.55	3.79	0.00	11.86	1.85
	22.85	50.83	41.42	0.00	26.33	7.03	0.00	25.32	5.55	0.00	24.78	4.51
	27.40	53.33	45.14	0.00	24.70	4.87	0.00	23.21	4.01	0.00	21.78	4.02
	30.41	59.17	47.43	0.00	32.80	7.01	0.00	30.69	7.00	0.00	31.27	6.62
Average	12.71	46.39	35.26	0.02	24.95	4.83	0.00	24.80	4.51	0.00	19.60	3.34