1999 - Evolutionary Algorithms for Multi Criterion Optimization in Engineering Design - Deb

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    f2

    f1

    w

    w2

    1B

    C

    A

    decrea

    singF

    f2

    f1

    w

    w2

    1

    decrea

    singF

    A

    B

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    0

    2000

    4000

    6000

    8000

    10000

    0 2000 4000 6000 8000 10000

    f_2

    f_1

    0

    1

    2

    3

    4

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    6

    7

    8

    9

    0 1 2 3 4 5 6 7 8 9

    f_2

    f_1

    0

    0.5

    1

    1.5

    2

    2.5

    3

    3.5

    4

    0 0.5 1 1.5 2 2.5 3 3.5 4

    f_2

    f_1

    0

    0.5

    1

    1.5

    2

    2.5

    3

    3.5

    4

    0 0.5 1 1.5 2 2.5 3 3.5 4

    f_2

    f_1

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    x2

    x1

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -20 - 15 - 10 -5 0 5 10 15 20

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -20 - 15 - 10 -5 0 5 10 15 20

    x2

    x1

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -20 - 15 - 10 -5 0 5 10 15 20

    x2

    x1

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -20 - 15 - 10 -5 0 5 10 15 20

    x2

    x1

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    -2

    0

    2

    4

    6

    8

    10

    12

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    f_2

    f_1

    Pareto-optimal frontRandom solutions

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    0 0.2 0.4 0.6 0.8 1

    f_2

    f_1

    Pareto-optimal frontNSGA

    b

    t

    hl

    F

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    0

    0.005

    0.01

    0.015

    0.02

    0.025

    0.03

    0.035

    0.04

    0.045

    0.05

    0 5 10 15 20 25 30 35 40 45 50

    Deflection

    Cost

    0

    0.001

    0.002

    0.003

    0.004

    0.005

    0.006

    0.007

    0.008

    0.009

    0.01

    0 5 10 15 20 25 30 35 40 45 50

    Deflection

    Cost

    t=0t=5

    t=20t=50

    0

    0.001

    0.002

    0.003

    0.004

    0.005

    0.006

    0.007

    0.008

    0.009

    0.01

    0 5 10 15 20 25 30 35 40 45 50

    Deflection

    Cost

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