Multi-Objective Optimization Configuration of AGV System Based on Response Surface and NSGA-II

doi:10.16182/j.issn1004731x.joss.20-0908

Abstract

Abstract:

Automated guided vehicle(AGV) system plays an important role in the production flexibility and efficiency in manufacturing systems. Due to the dynamic and stochastic characteristics of AGV system with many variables, its optimal configuration is relatively complex. A method combining system simulation, mathematical analysis and multi-objective optimization is proposed to optimize the configuration of AGV system. The discrete event simulation is used to simulate the operation of AGV system, the sensitivity analysis is used to separate design variables, the factorial experiments and response surface methods are used to build the fitting multi-objective optimization mathematical model, and the non-dominated sorting genetic algorithm-II(NSGA-II) is used to solve the multi-objective optimization problem. The effectiveness of the method is proved by an industrial case study, which provides an effective systematic analysis method for the optimal configuration of AGV system in manufacturing or logistics systems.

Key words: automated guided vehicle(AGV), response surface methodology, discrete event simulation, NSGA-II (non-dominated sorting genetic algorithm-II)

CLC Number:

TH166
TP391

Jianlin Fu, Guofu Ding, Jian Zhang, Haifan Jiang, Peipei Guo. Multi-Objective Optimization Configuration of AGV System Based on Response Surface and NSGA-II[J]. Journal of System Simulation, 2022, 34(5): 994-1002.

Figures/Tables 10

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References 23

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工件类型	工序	机床	工序时长/s	工件类型	工序	机床	工序时长/s
1	O₁₁	M₂	234	4	O₄₁	M₇	277
	O₁₂	M₆	211		O₄₂	M₅	397
	O₁₃	M₈	123		O₄₃	M₁₂	255
	O₁₄	M₁₂	78		O₄₄	M₈	256
	O₁₅	M₇	264		O₄₅	M₉	216
	O₁₆	M₅	231	5	O₅₁	M₁	356
2	O₂₁	M₃	156		O₅₂	M₇	157
	O₂₂	M₄	67		O₅₃	M₉	192
	O₂₃	M₁₁	273		O₅₄	M₄	234
	O₂₄	M₁₀	223		O₅₅	M₁₂	225
	O₂₅	M₉	243		O₅₆	M₁₀	225
3	O₃₁	M₁	78	6	O₆₁	M₃	452
	O₃₂	M₄	254		O₆₂	M₂	254
	O₃₃	M₆	542		O₆₃	M₁₀	195
	O₃₄	M₈	399		O₆₄	M₁₁	236
	O₃₅	M₁₁	244		O₆₅	M₁	123
	…	…	…		O₆₆	M₄	235

设计参数	初始取值	最小增减量	取值范围	可变/固定
AGV数量(个)	3	1	[1,5]	可变
AGV速度/(m/s)	2	0.5	[1,3]	可变
AGV加速度/(m/s²)	1.5	0.5	[0.5,2.5]	固定
AGV装载时间/s	10	2.5	[5,15]	可变
AGV卸载时间/s	10	2.5	[5,15]	可变
出入口缓冲容量(个)	8	2	[4,12]	固定

No	x₁	x₂	x₃	x₄	y₁	y₂	y₃	y₄
1	2	1.5	7.5	7.5	8 773	0.799 512	0.445 52	3 500
2	4	1.5	7.5	7.5	5 120	0.765 543	0.812 203	6 380
3	2	2.5	7.5	7.5	1 824	0.705 768	0.648 24	5 092
4	4	2.5	7.5	7.5	5 886	0.523 901	0.811 137	6 374
5	2	1.5	12.5	7.5	1 047	0.748 572	0.417 823	3 281
6	4	1.5	12.5	7.5	6 451	0.738 016	0.813 193	6 388
7	2	2.5	12.5	7.5	2 118	0.641 999	0.589 434	4 630
8	4	2.5	12.5	7.5	8 985	0.514 027	0.811 232	6 373
9	2	1.5	7.5	12.5	1 028	0.749 232	0.417 263	3 276
10	4	1.5	7.5	12.5	6 265	0.738 452	0.812 872	6 386
11	2	2.5	7.5	12.5	1 998	0.642 495	0.590 785	4 641
12	4	2.5	7.5	12.5	7 667	0.514 716	0.811 775	6 379
13	2	1.5	12.5	12.5	1 103	0.704 424	0.392 879	3 084
14	4	1.5	12.5	12.5	6 601	0.697 34	0.778 196	6 113
15	2	2.5	12.5	12.5	2 063	0.589 703	0.541 42	4 253
16	4	2.5	12.5	12.5	8 923	0.504 503	0.811 642	6 379
17	2	2	10	10	1 525	0.692 047	0.510 053	4 007
18	4	2	10	10	7 048	0.613 785	0.812 635	6 386
19	3	1.5	10	10	2 944	0.746 891	0.622 647	4 890
20	3	2.5	10	10	5 649	0.616 453	0.812 066	6 380
21	3	2	7.5	10	4 370	0.715 551	0.794 983	6 245
22	3	2	12.5	10	4 795	0.660 532	0.734 758	5 771
23	3	2	10	7.5	4 345	0.715 068	0.795 499	6 249
24	3	2	10	12.5	4 751	0.661 539	0.734 395	5 769
25	3	2	10	10	4 456	0.687 192	0.763 956	6 002
26	3	2	10	10	4 545	0.687 244	0.763 495	5 998
27	3	2	10	10	4 424	0.687 147	0.764 593	6 007
28	3	2	10	10	4 475	0.687 277	0.763 663	5 998
29	3	2	10	10	4 445	0.686 992	0.764 774	6 007
30	3	2	10	10	4 444	0.687 087	0.764 416	6 004

度量值	f(1)	f(2)	f(3)	f(4)
R-Squared	0.997 506	0.991 576	0.997 775	0.998 859
Adj R-Squared	0.995 178	0.983 714	0.995 699	0.997 795
Pred-Squared	0.984 839	0.947 048	0.988 658	0.994 566
Adeq Precision	68.845 79	44.510 09	71.908 1	102.106 8
F	428.5	126.12	480.53	938.34
p-value	<0.000 1	<0.000 1	<0.000 1	<0.000 1

序号	数量(个)	速度/?(m/s)	装载时间/s	卸载时间/s	拥堵次数	AGV?利用率	机床利用率	产量(件)
1	4	1.72	5.02	5.05	4 737	0.760	0.940	7 428
2	3	1.84	5.10	5.16	3 243	0.820	0.907	7 172
3	4	1.55	5.03	5.00	4 345	0.799	0.908	7 148
4	4	1.50	5.00	5.00	4 206	0.812	0.896	7 037
5	4	1.44	5.02	5.09	4 070	0.823	0.878	6 880
6	3	1.73	5.32	5.20	3 045	0.835	0.864	6 763
7	4	1.32	5.04	5.02	3 733	0.851	0.842	6 575
8	4	1.28	5.06	5.02	3 627	0.860	0.829	6 463
9	3	1.58	5.04	5.12	2 725	0.865	0.824	6 380
10	2	2.91	5.00	5.00	1 733	0.722	0.792	6 325