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Industrial Engineering Test 3

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Industrial Engineering Test 3
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  • Question 1
    1 / -0

    Using Hungarian method, the optimal value of assignment problem whose cost matrix is given by__

    5

    23

    14

    8

    10

    25

    1

    23

    35

    16

    15

    12

    16

    23

    11

    7

    Solution

    Calculation:

    Using Hungerian method.

    Step 1: Row transaction

    0

    18

    9

    3

    9

    24

    0

    22

    23

    4

    3

    0

    9

    16

    4

    0
     

    Step 2: Column transaction:

    \(\boxed{ 0 \ }\)

    14

    9

    3

    9

    20

    \(\boxed{ 0 \ }\)

    22

    23

    \(\boxed{ 0 \ }\)

    3

    0

    9

    12

    4

    \(\boxed{ 0 \ }\)


    Optimal value = 5 + 16 + 1 + 7

    ∴ Optimal value = 29
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