Journal of Jilin University(Engineering and Technology Edition) ›› 2021, Vol. 51 ›› Issue (2): 720-727.doi: 10.13229/j.cnki.jdxbgxb20190983

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Balancing and bi⁃objective optimization of robotic assemble lines

Bing-hai ZHOU(),Qiong WU   

  1. College of Mechanical Engineering,Tongji University,Shanghai 201804,China
  • Received:2019-10-22 Online:2021-03-01 Published:2021-02-09

Abstract:

In order to improve the operation efficiency and the energy efficiency of the assembly line, the energy consumptions during task performing, changeover, stand-by and transportation were considered when balancing the robotic assembly lines. The objective was to minimize the number of workstations and the total energy consumption simultaneously. A mathematical model was first established, and then an improved Multi-objective Evolutionary Algorithm was proposed and a special coding scheme was designed. A constraint-handling technique, an adaptive penalty factor and a problem-based local search strategy 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. The results show that the proposed algorithm is effective and feasible, and the energy efficiency of robotic assembly lines is improved.

Key words: computer applications, assembly line balancing, robot, energy, multi-objective optimization problem, changeover, multi-objective evolutionary algorithm

CLC Number: 

  • TP29

Fig.1

Coding scheme example"

Fig.2

Local search example"

Table 1

Parameters of algorithms"

算法参数
AMOEA/D-ISB种群大小21013691
进化代数504030
向量邻居个数151514
交叉概率0.80.80.8
变异概率0.20.20.2
权重更新参数222
局部搜索概率0.60.60.6
MO-PSO粒子群数21013691
迭代次数504030
速度因子0.10.10.1
惯性影子0.80.80.8
交叉概率0.80.80.8
变异概率0.20.20.2

Table 2

Numerical calculation results of different scale problems"

问题规模问题名称指标A0A1A2MO-PSOMOEA/D
小规模BUXEY (I=29)IGD0.10111.29601.43511.21663.0587
HV0.0590.0550.0340.0420.028
N118965
TIME24.7420.1022.6623.7819.27
LUTZ1 (I=32)IGD10.172612.366521.355713.511547.5169
HV0.0410.0220.0370.0290.006
N65443
TIME38.0034.7132.3234.0230.25
中规模HAHN (I=53)IGD10.040317.843990.000432.4227100.5772
HV0.0230.0120.0050.0120.001
N117874
TIME34.6828.4827.2730.5924.06
ARC83 (I=83)IGD29.3147135.052177.9932146.5395514.7043
HV0.610.240.210.250.16
N85653
TIME96.9361.3755.5260.7746.22
大规模ARC111 (I=111)IGD58.927078.6921137.328093.3462202.0398
HV0.0220.0190.0170.0170.015
N1061175
TIME79.9666.8663.5468.4949.23
BARTHOL2 (I=148)IGD8.022110.164116.318212.402943.0122
HV0.190.130.080.110.02
N106754
TIME209.47122.80115.91112.9477.85
均值IGD19.429742.569274.071849.9066151.8182
HV0.1580.0800.0640.0770.038
N96864
TIME80.6355.7252.8755.1041.15

Fig.3

Pareto fronts of A0, A1, A2, MO-PSO and traditional MOEA/D under example BUEXY"

Fig.4

Effect of local search on performance of algorithm under example BARTHOL2"

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