Multisystem Optimization for an Integrated Production Scheduling with Resource Saving Problem in Textile Printing and Dyeing

Table 4

The average and standard deviation of IGD values obtained by the proposed MSO algorithm, MO-MFEA, and NSGA-II. The best result in each row is shown in bold font.

Function	Sim ()	Subsystem no.	IGD
			MSO	MO-MFEA	NSGA-II
CIHS	0.97		7.51E-05 ± 8.63E-06	4.16E-04 ± 2.67E-05^†	2.17E-03 ± 4.32E-04^†
			9.25E-05 ± 1.31E-05	5.64E-04 ± 3.28E-05^†	5.31E-03 ± 1.66E-04^†
CIMS	0.52		7.36E-03 ± 5.14E-04	1.19E-02 ± 4.32E-02^†	8.01E-01 ± 3.42E-02^†
			3.42E-03 ± 7.10E-03	7.48E-03 ± 3.26E-02^†	7.90E-02 ± 3.26E-02^†
CILS	0.07		9.58E-03 ± 7.51E-02	7.84E-04 ± 9.50E-05^†	8.06E-01 ± 2.35E-01^†
			3.47E-04 ± 3.85E-05	7.84E-04 ± 2.56E-06	7.65E-04 ± 2.29E-06
PIHS	0.99		7.12E-04 ± 2.74E-05	4.16E-03 ± 3.24E-03^†	7.35E-03 ± 4.26E-04^†
			5.17E-03 ± 6.30E-04	5.37E-02 ± 7.71E-02^†	5.17E-02 ± 8.92E-02^†
PIMS	0.55		3.28E-03 ± 3.52E-04	5.19E-03 ± 7.42E-03	6.45E-03 ± 4.33E-03^†
			2.24E-02 ± 4.16E-03	9.63E+01 ± 2.47E-00^†	1.58E-01 ± 3.65E-00^†
PILS	0.002		1.85E-04 ± 1.10E-05	5.32E-04 ± 1.15E-05	2.83E-04 ± 4.02E-04
			3.32E-02 ± 1.07E-04	8.54E-02 ± 2.33E-03	6.62E-01 ± 1.24E-04^†
NIHS	0.94		4.25E-02 ± 1.18E-02	8.45E-00 ± 3.74E-02^†	7.90E-01 ± 5.88E-01^†
			5.32E-05 ± 6.58E-06	6.70E-04 ± 5.39E-04^†	3.51E-04 ± 4.27E-04^†
NIMS	0.51		6.37E-02 ± 5.89E-03	1.85E-01 ± 4.34E-01^†	8.02E-01 ± 1.48E-01^†
			3.24E-03 ± 6.35E-04	2.67E-02 ± 5.06E-02^†	7.70E-02 ± 3.18E-02^†
NILS	0.001		7.17E-03 ± 8.24E-04	8.15E-04 ± 2.32E-05^†	9.06E-04 ± 3.11E-05^†
			4.46E-00 ± 3.29E-01	6.14E-01 ± 4.16E-04^†	6.54E-01 ± 4.23E-04^†