Integrated Scheduling of Reheating Furnace and Hot Rolling Based on Improved Multiobjective Differential Evolution

Table 3

Performance metrics obtained by NSGA-II, MOILS, and DMODE for random problems.

Problem		GD			IGD			HV
		NSGA-II	MOILS	DMODE	NSGA-II	MOILS	DMODE	NSGA-II	MOILS	DMODE
3	100	0.0057^+	0.0036^=	0.0030	0.1090^+	0.0195^=	0.0176	0.6541^+	0.8681^=	0.8670
	150	0.0044^+	0.0038^+	0.0024	0.0822^+	0.0431^+	0.0165	0.6868^+	0.8361^+	0.8662
	200	0.0041^+	0.0058^+	0.0015	0.1169^+	0.0403^+	0.0233	0.6781^+	0.8254^+	0.8712
4	100	0.0068^+	0.0044^+	0.0024	0.1250^+	0.0289^+	0.0186	0.7195^+	0.8660^=	0.8822
	150	0.0068^+	0.0039^=	0.0041	0.1044^+	0.0276^=	0.0287	0.7522^+	0.8677^=	0.8650
	200	0.0042^+	0.0040^+	0.0009	0.1318^+	0.0473^+	0.0306	0.7003^+	0.8358^+	0.8808
5	100	0.0092^+	0.0035^+	0.0020	0.1050^+	0.0329^+	0.0152	0.7281^+	0.8737^+	0.9018
	150	0.0030^=	0.0048^+	0.0031	0.1168^+	0.0464^+	0.0333	0.6951^+	0.8135^+	0.8690
	200	0.0034^+	0.0062^+	0.0011	0.1658^+	0.0807^+	0.0302	0.6267^+	0.8203^+	0.8877
Average		0.0053	0.0044	0.0023	0.1174	0.0407	0.0238	0.6934	0.8452	0.8768