Journal of Jilin University(Engineering and Technology Edition) ›› 2019, Vol. 49 ›› Issue (6): 2069-2075.doi: 10.13229/j.cnki.jdxbgxb20180674

Previous Articles     Next Articles

Balancing and optimization of robotic assemble lines withtool and space constraint

Bing-hai ZHOU(),Qiong WU   

  1. College of Mechanical Engineering, Tongji University, Shanghai 201804, China
  • Received:2018-06-25 Online:2019-11-01 Published:2019-11-08

RICH HTML

 2   

PDF (PC)

166

Abstract:

In order to improve the efficiency and productivity of the assembly line, the assembly line area was optimized and the space occupied by the tools and changeover for each task were taken into consideration when balancing the robotic assembly line. The two conflicting objective functions considered in this article were to minimize the cycle time of the number of workstations and to minimize the area of each workstation. A mathematical model was first established. In order to effectively solve this problem, a coding method based on separator genes was designed and then an improved multi-objective immune clonal algorithm was proposed for the constrained multi-objective optimization problem. Pareto frontier sorting, elite strategy, and global search were introduced to enhance the performance of the algorithm. Finally, the problems of different scales were optimized and the results were compared with other algorithms to evaluate the efficiency and superiority of the proposed algorithm. The results show that the algorithm is effective on both quantity and quality of solutions, and feasible for different scales of problems.

Key words: computer applications, robots, assembly line balancing, space constraint, multi-objective, immune clonal algorithm

CLC Number: 

  • TP391

Fig.1

Coding scheme example"

Fig.2

Crowding distance"

Table 1

Parameters of three algorithms"

算法 参 数
NSGA?II Q=100;P m=0.4;P c=0.6
MICA Q=100;P m=0.4;P c=0.6;μ=10
AMICA Q=100;P m=0.4;P c=0.6
μ=10;α=(0, 0.8);γ=40

Table 2

Numerical calculation results of different scale problems"

问题名称 NSGA?II MICA AMICA
N GD s T N GD s T N GD s T
小规模 WEEMAG (I=75,CT=56) 5 6.35 1.72 154 3 8.34 2.22 144 8 4.75 1.07 181
LUTZ2 (I=89，CT=16) 6 1.43 75.39 179 4 3.65 90.35 114 5 1.62 69.86 200
中规模 BARTHOLD (I=148， CT=805) 14 4.98 26.19 452 10 6.34 31.16 463 18 3.09 24.55 497
BARTHOL2 (I=148，CT=85) 4 5.06 11.32 356 3 8.86 13.28 299 6 3.88 8.29 398
大规模 SCHOLL (I=297，CT=1394) 8 52.45 8.29 398 7 60.23 185.37 492 11 32.18 97.91 862
NTIGen (I=320，CT=169.55) 8 3.98 7.70 723 6 5.02 10.31 693 11 1.77 5.23 1196
均 值 8.33 37.49 111.09 378.08 6.41 48.145 145.93 326.0 10.83 36.71 101.65 487.42

Fig.3

Box-plot of s and N of different algorithms under problem SCHOLL"

Fig.4

Effect of parameter α on performance of algorithm under problem NTIGen"

1 ? Baybars . A survey of exact algorithms for the simple assembly line balancing problem[J]. Management Science, 1986, 32(8):909-932.
2 Daganzo C F , Blumenfeld D E . Assembly system design principles and tradeoffs[J]. International Journal of Production Research, 1994, 32(3):669-681.
3 Nicosia G , Pacciarelli D , Pacifici A . Optimally balancing assembly lines with different workstations[J]. Discrete Applied Mathematics, 2002, 118(1/2):99-113.
4 Bautista J , Pereira J . Ant algorithms for a time and space constrained assembly line balancing problem[J]. European Journal of Operational Research, 2007, 177(3):2016-2032.
5 Deckro R F . Balancing cycle time and workstations[J]. IIE Transactions, 1989, 21(2):106-111.
6 Chica M , Cordón O , Damas S, et al . A multiobjective ant colony optimization algorithm for the 1/3 variant of the time and space assembly line balancing problem[C]∥The 12th International Conference on Processing and Management of Uncertainty in Knowledge-based Systems (IPMU), Málaga, Spain, 2008:1454-1461.
7 Rada-Vilela J , Chica M , Cordón óscar , et al . A comparative study of multi-objective ant colony optimization algorithms for the time and space assembly line balancing problem[J]. Applied Soft Computing Journal, 2013, 13(11):4370-4382.
8 Deb K , Pratap A , Agarwal S , et al . A fast and elitist multiobjective genetic algorithm: NSGA-II[J]. IEEE Transactions on Evolutionary Computation, 2002, 6(2):182-197.
9 焦玉玲, 徐良成, 王占中, 等 . 基于有向网络的双U型装配线平衡实验与分析[J]. 吉林大学学报:工学版, 2018, 48(2):454-459.
9 Jiao Yu-ling , Xu Liang-cheng , Wang Zhan-zhong , et al . Balance experiment and analysis of double U-shaped assembly line based on directed network[J]. Journal of Jilin University (Engineering and Technology Edition), 2018, 48(2):454-459.
10 周炳海,康雪云 .考虑切换时间的机器人装配线平衡优化方法[J]. 湖南大学学报:自然科学版, 2017,44(8):35-42.
10 Zhou Bing-hai , Kang Xue-yun . Optimal method of robotic assemble line balancing considering changeover time[J]. Journal of Hunan University (Natural Sciences),2017,44(8):35-42.
11 景云, 何世伟, 宋瑞, 等 . 基于云免疫克隆算法的空车动态优化问题[J]. 吉林大学学报:工学版, 2012,42(增刊1):261-265.
11 Jing Yun , He Shi-wei , Song Rui , et al . Dynamic empty car scheduling optimization based on immune clonal with cloud preference[J]. Journal of Jilin University (Engineering and Technology Edition), 2012, 42(Sup.1):261-265.
[1] Fu-chun JIA,Xian-jie MENG,Yu-long LEI. Optimal design of two degrees of freedom dynamic vibration absorber based on multi-objective genetic algorithm [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 1969-1976.
[2] Bin LI,Guo⁃jun SHEN,Geng SUN,Ting⁃ting ZHENG. Improved chicken swarm optimization algorithm [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(4): 1339-1344.
[3] GU Wan-li,WANG Ping,HU Yun-feng,CAI Shuo,CHEN Hong. Nonlinear controller design of wheeled mobile robot with H∞ performance [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1811-1819.
[4] JIAO Yu-ling, ZHANG Peng, TIAN Guang-dong, XING Xiao-cui, ZOU Lian-hui. Slotting optimization of automated warehouse based on multi-population GA [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1398-1404.
[5] XIA Li-hong, DENG Zhao-xiang. Optimal design of electromechanical brake actuator through an integrated mechatronic approach [J]. 吉林大学学报(工学版), 2018, 48(4): 998-1007.
[6] QIU Xiao-ming, WANG Yin-xue, YAO Han-wei, FANG Xue-qing, XING Fei. Multi-objective optimization of resistance spot welding parameters for DP1180/DP590 using grey relational analysis based Taguchi [J]. 吉林大学学报(工学版), 2018, 48(4): 1147-1152.
[7] WANG Deng-feng, ZHANG Shuai, WANG Yong, CHEN Hui. Optimization design of assembled wheel based on performance of fatigue and 13° impact [J]. 吉林大学学报(工学版), 2018, 48(1): 44-56.
[8] YU Fan-hua, LIU Ren-yun, ZHANG Yi-min, ZHANG Xiao-li, SUN Qiu-cheng. Swarm intelligence algorithm of dynamic reliability-based robust optimization design of mechanic components [J]. 吉林大学学报(工学版), 2017, 47(6): 1903-1908.
[9] ZHOU Fang, SONG Chuan-xue, LIANG Tian-wei, XIAO Feng. Parameter matching of on-board hybrid energy storage system using NSGA-II algorithm [J]. 吉林大学学报(工学版), 2017, 47(5): 1336-1343.
[10] LIU Ying, ZHANG Kai, YU Xiang-jun. Multi-objective optimization of hydrostatic bearing of hollow shaft based on surrogate model [J]. 吉林大学学报(工学版), 2017, 47(4): 1130-1137.
[11] HU Kan, YU Ye, YING Liang, HU Ping, HOU Wen-bin. Optimization design of hot-stamping beam structure considering rollover crash safety of school bus [J]. 吉林大学学报(工学版), 2017, 47(3): 884-890.
[12] SONG Chuan-xue, ZHOU Fang, XIAO Feng. Energy management optimization of hybrid energy storage system (HESS) based on dynamic programming [J]. 吉林大学学报(工学版), 2017, 47(1): 8-14.
[13] MA Kai, GAO Ji-dong, XU Tao. Optimization of the layout of concept vehicle key parts based on simplified auto crash simulation model [J]. 吉林大学学报(工学版), 2017, 47(1): 58-63.
[14] YU Fan-hua, LIU Ren-yun, ZHANG Yi-min, SUN Qiu-cheng, ZHANG Xiao-li. Intelligent algorithm for optimized dynamic reliability design of mechanic structure [J]. 吉林大学学报(工学版), 2016, 46(4): 1269-1275.
[15] ZHANG Dong-hao, XIANG Chang-le, HAN Li-jin, ZHENG Hai-liang. Multi-objective optimization hierarchic control method for power-split hybrid electric vehicles [J]. 吉林大学学报(工学版), 2016, 46(2): 373-382.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] Shi Yu, Wang Shu-xun, Huang Zhi-qiang . Source parameter estimate based on multistage wiener filter
[J]. 吉林大学学报(工学版), 2006, 36(05): 761 -0765 .
[2] Wang Zhi-ren,Wang Ping,Bai Xiang-zhong . Magneticelastisity bucklig analysis of thin currentcarrying plate
[J]. 吉林大学学报(工学版), 2007, 37(03): 721 -0725 .
[3] DONG Jin-nan1, QIN Gui-he1,2, ZHANG Jin-dong1, CUI Yue1 . Real-time signals transmission based on polynomial predictive filtering theory [J]. 吉林大学学报(工学版), 2008, 38(04): 890 -896 .
[4] Gao Xing-quan, Ma Miao-miao, Chen Hong . Optimal control for T-S fuzzy systems with time domain hard constraints[J]. 吉林大学学报(工学版), 2007, 37(03): 640 -0645 .
[5] YU Yuanbin，WANG Qingnian. Redevelopment of HEV Simulation Software Based on Advisor for HEV with Synergic Electric Power Supply System[J]. 吉林大学学报(工学版), 2005, 35(04): 353 -357 .
[6] Yang Chao，Cao Chun-jie，Wang Wei，Ma Jian-feng . New authentication protocol of roaming for wireless mesh network[J]. 吉林大学学报(工学版), 2008, 38(02): 423 -0428 .
[7] ZHANG Chuan-min1,2,FU Wen-zhi1,LI Ming-zhe1 . Suppression of dimples in digital multi-point stretching process[J]. 吉林大学学报(工学版), 2009, 39(01): 83 -87 .
[8] Lu Zhen，Wang Yong，Ge Jian-hua . Iterative decoding of space frequency block code OFDM systems[J]. 吉林大学学报(工学版), 2007, 37(02): 474 -0478 .
[9] Wang Ming-xing, Zhou Hong, Wang Lin, Li Wei, Zhao Yu . Effect of Y and Ce addition on microstructure and mechanical properties of AZ91D magnesium alloy[J]. 吉林大学学报(工学版), 2007, 37(01): 6 -10 .
[10] GENG Duan-yang,， ZHANG Tie-zhong. Design of Detaching and Dropping Plug Seedlings Mechanism[J]. 吉林大学学报(工学版), 2005, 35(05): 495 -0499 .
Copyright © Journal of Jilin University(Engineering and Technology Edition), All Rights Reserved.
Tel: +86-431-85095297　Fax: +86-431-85094074　E-mail: xbgxb@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd