Optoelectronic Technology, Volume. 41, Issue 4, 274(2021)

Research on Photomask Defects Path Optimization Based on Ant Colony Algorithm Mixed with 2⁃opt

Zhijun XU1, Yateng WANG1, and Qilong XIONG1,2
Author Affiliations
  • 1Hefei Qingyi Photomask Ltd., Hefei,2300,CHN
  • 2Shenzhen Qingyi Photomask Ltd., Shenzhen Guangdong,518053,CHN
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    Figures & Tables(13)
    Common abnormalities of mask layers
    Defect path inspected by AOI machine
    Schematic of searching tactics in 2-opt algorithm
    Flow chart of ACO mixed with 2-opt algorithm
    Optimized paths of AOI, basic ACO and 2⁃opt+ACO_DFT
    Defocus rates of AOI order, X/Y ascending order, Basic ACO and 2-opt+ACO_DFT algorithms (R=100 mm)
    Optimized paths of four 2-opt+ACO algorithms
    • Table 1. Optimization comparison among AOI order, X/Y ascending order, basic ACO and 2⁃opt+ACO_DFT

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      Table 1. Optimization comparison among AOI order, X/Y ascending order, basic ACO and 2⁃opt+ACO_DFT

      A1964391A1955328A1964382
      总行程/mm优化率/(%)耗时/s总行程/mm优化率/(%)耗时/s总行程/mm优化率/(%)耗时/s
      AOI排序18 9040/39 2820/53 8370/
      X升序17 6566.6/14 20363.8/36 64731.9/
      Y升序11 64138.4/32 54717.1/29 04446.1/
      Basic ACO6 74864.32705 02787.26567 65985.82 044
      2⁃opt+ACO_DFT5 24672.3195 00987.3927 16086.7194
    • Table 2. Parameter settings of four ACO algorithms mixed with 2⁃opt

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      Table 2. Parameter settings of four ACO algorithms mixed with 2⁃opt

      αβρ蚂蚁数 m循环数cnanb
      2⁃opt+ACO_DFTα=1β=2ρ=0.6取坐标数n100//
      2⁃opt+ACO_less ant10100//
      2⁃opt+ACO_acc_1101002020
      2⁃opt+ACO_acc_2202002020
    • Table 3. Optimization results comparison of four ACO algorithms mixed with 2⁃opt

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      Table 3. Optimization results comparison of four ACO algorithms mixed with 2⁃opt

      pr299fl417
      最优解耗时/s结果误差/(%)最优解耗时/s结果误差/(%)
      2⁃opt+ACO_DFT48 191129349 2502.211 8614 90912 0521.61
      2⁃opt+ACO_less ant4449 1291.9511212 0341.46
      2⁃opt+ACO_acc_14.2849 0301.748.3212 0321.44
      2⁃opt+ACO_acc_214.9648 9041.4828.2612 0181.32
    • Table 4. Optimized paths of 2⁃opt+ACO_DFT and 2⁃opt+ACO_less ant

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      Table 4. Optimized paths of 2⁃opt+ACO_DFT and 2⁃opt+ACO_less ant

      2⁃opt+ACO_DFT2⁃opt+ACO_less ant
      序号耗时/s行程/mm失焦率/(%)优化率/(%)耗时/s行程/mm失焦率/(%)优化率/(%)
      11 9237 954.030.3192.41527 839.320.3192.52
      21 7407 768.360.6292.59537 882.880.6292.48
      31 7477 806.210.3192.55527 819.070.3192.54
      41 7187 846.970.6292.51537 832.070.6292.53
      51 7197 708.770.3192.64537 850.980.6292.51
      61 8187 847.720.3192.51537 951.20.6292.41
      71 7357 802.490.3192.56527 860.310.3192.50
      81 6867 779.740.3192.58537 855.550.3192.50
      91 6637 8500.3192.51527 902.880.3192.46
      101 7187 800.70.3192.56527 767.460.3192.59
      Ave1 746.77 816.50.3792.5452.57 856.170.4392.50
    • Table 5. Optimized paths of 2⁃opt+ACO_acc_1 and 2⁃opt+ACO_acc_2

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      Table 5. Optimized paths of 2⁃opt+ACO_acc_1 and 2⁃opt+ACO_acc_2

      2⁃opt+ACO_acc_12⁃opt+ACO_acc_2
      序号耗时/s行程/mm失焦率/(%)优化率/(%)耗时/s行程/mm失焦率/(%)优化率/(%)
      15.597 792.380.6292.5719.227 806.150.3192.55
      25.637 801.620.3192.5619.367 738.880.6292.62
      35.477 805.70.3192.5519.227 802.370.0092.56
      45.667 830.860.0092.5319.237 739.230.0092.62
      55.547 823.870.0092.519.097 786.990.3192.57
      65.537 845.530.3192.5119.17 700.440.6292.65
      75.647 768.190.3192.5919.297 792.980.3192.56
      85.537 836.910.3192.5219.267 813.040.3192.55
      95.547 756.250.3192.6019.577 802.210.3192.56
      105.597 779.590.3192.5819.77 812.410.3192.55
      Ave5.577 804.090.2892.5519.37 779.470.3192.58
    • Table 6. Application results of 2⁃opt+ACO_acc algorithm applied in practical production

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      Table 6. Application results of 2⁃opt+ACO_acc algorithm applied in practical production

      订单号蚂蚁数m&循环数c路径长度/mm镜头寻点时长/min节省时长/min
      优化前优化后优化前优化后
      A1960798m=10&c=1009 1185 37711.33.18.2
      A196079916 8505 52117.55.112.4
      A196477829 5184 39929.88.920.9
      A196413645 0807 76240.012.227.8
      A1964115m=20&c=20066 3107 78075.919.856.1
      A196440777 33315 08883.724.359.4
      A1973844111 52411 966102.726.776
      A1972959m=25&c=250134 56512 772173.367.8105.5
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    Zhijun XU, Yateng WANG, Qilong XIONG. Research on Photomask Defects Path Optimization Based on Ant Colony Algorithm Mixed with 2⁃opt[J]. Optoelectronic Technology, 2021, 41(4): 274

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    Paper Information

    Category: Research and Trial-manufacture

    Received: May. 12, 2021

    Accepted: --

    Published Online: Aug. 3, 2022

    The Author Email:

    DOI:10.19453/j.cnki.1005-488x.2021.04.006

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