PARETO DIAGRAM.pdf

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    0100200300400500600

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    %

    Noofcomp

    laints

    Types of defects

    What is a Pareto

    diagram?

    Pareto diagram is atechnique of arranging

    data according to

    priority or importance

    and using into a

    problem solving

    framework.

    This helps to find outthe VITAL FEW from

    the USEFUL MANY for

    problem selection.

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    As said earlierPareto Analysis or

    Pareto Diagram

    is a technique of arrangingdata according to priority or

    importance and using

    it into a problem solvingframe work.

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    This helps to find out the

    "VITAL FEW"

    from the

    "USEFUL MANY"for problem selection

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    We can observe that most of our

    problems arise from a few of the

    sources.

    I failed in my exams, I could

    not get into the college

    tennis team, Mom isannoyed with me, I am

    overweight. God, life could

    not get any worse. All this

    happened because of my

    LAZINESS.

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    It is few children in a class who

    cause maximum nuisance

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    The italian economistVilfredo Pareto (1848-1923)

    during his study of

    distribution of wealth in hiscountry observed that 80%

    to 90% of the Italys wealth

    lay in the hands of 10% to20% of the population.

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    Study of wealth distribution by Italian economist

    Vilfredo Pareto (1848 - 1923) in his country.

    Italys Wealth

    80 % of wealth

    20% of wealth

    Owned by 20% of the

    population

    Owned by 80% of the

    population

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    EXAMPLE

    TYPE OF DEFECT NUMBER OF ITEMS

    A. Motor winding 20

    B. Bend in Blades 15C. Cracks on central rod 14

    D. Capacitor 10

    E. Scratches 12

    F. Regulator 40G. Bend in screws 25

    H. Others 14

    Total 150

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    In order to make a Pareto diagram the

    data have to be rearranged according tothe order of importance i.e. factor or

    defect which contributed to the

    maximum problem

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    Here it is Regulator 40 Nos,

    followed by next highesti.e.

    Bend in screws 25 Nos. Inthis way arrange all the

    data except for 'others'

    which is cumulative of somany defects but

    individually lower.

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    To make a Pareto diagram rearranged data

    table

    TYPE OF DEFECT NUMBER OF DEFECTS

    F. Regulator 40

    G. Bend in screws 25A. Motor winding 20

    B. Bend in Blades 15

    C. Cracks on central rod 14

    E. Scratches 12D. Capacitor 10

    H. Others 14

    Total 150

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    Next step is to

    calculate

    "percentage of eachto total" and

    "cumulative figuresof percentage " for

    each type of defect.

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    The percentage of "Regulator"

    defect to total

    = (40/150) X 100 = 27%

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    And the percentage of "Bend

    In Screws defect to total

    = (25/150) X 100 = 17%

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    Similarly,calculate the

    percentages forall other types

    of defects.

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    Now arrange them in a table showing.

    a) Type of defect

    b) Number or quantum of defect.

    c) Cumulative

    d) Percentage of defect to totale) Cumulative percentage

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    TYPE NUMBER CUM % OF CUMOF OF TOTAL %

    DEFECT FANS

    F. Regulator 40 40 27% 27%

    G. Bend in Screws 25 65 17% 44%

    A. Motor winding 20 85 13% 57%B. Bend in wings 15 100 10% 67%

    C. Cracks in Central rod 14 114 9% 76%

    E. Scratches 12 126 8% 84%

    D. Capacitor 10 136 7% 91%

    H. Others 14 150 9% 100%

    Total 150 100%

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    Now let us make the Pareto Graph. Draw a

    vertical axis on both sides and marknumber on left and % on right. Draw

    horizontal axis and divide it into No. of

    intervals equivalent to types of defects

    0102030

    405060708090100

    110120130140150 100

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    0

    %

    Quantity

    (Nos)

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    Construct a Bar Diagram to

    represent the data as per tally

    sheet

    %

    100

    90

    80

    7060

    50

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    30

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    10

    0

    01020304050

    60708090

    100110

    120130140150

    Qu

    antity(No

    s)

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    Draw cumulative curve (Pareto Curve).

    Mark the cumulative value (or percentage)

    and connect the points by a line.

    010

    20304050

    60708090

    100110

    120130

    140150

    65

    85

    100

    114

    126

    136 100

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    %

    Quantity(No

    s)

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    Write all the necessary information

    concerning the diagram.

    0

    10

    203040

    5060

    70

    8090

    100

    110120130

    140150

    F

    G

    A

    B

    C

    E

    D

    H

    65

    85

    100

    114

    126

    136 100

    90

    8070

    60

    50

    40

    30

    20

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    0

    %

    Qu

    antity(No

    s)

    Defects

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    As you can see now Pareto Diagram is

    a good tool for selection of a problem.

    0

    102030405060

    708090

    100110120

    130140150

    FG

    A

    B

    C

    E

    D

    H

    65

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    100114

    126136 100

    90

    80

    70

    60

    50

    4030

    20

    10

    0

    %

    Qu

    antity(No

    s)

    Defects

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    This is made

    based on data

    and should helpin decision

    making i.e. which

    problem weshould tackle

    first. Here

    decision is basedon facts and not

    on personal

    preferences.

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    Worker F

    Worker E

    Worker C

    Worker B

    Worker A

    Worker D

    Worker G

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    %

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    In this case first three defects contribute to 57% of theproblem and with the fourth one 67%. We should tackle

    them for effective result. The defect cracks in central

    rod has safety implications and hence to be included

    in the vital few making 1 to 5 constituting 76%

    F

    GA

    B

    C

    E

    DH

    Quantity

    (Nos)

    Defects

    %

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    6070

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    90100

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    57 %67 %

    76 %

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    2010

    0

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    Identify few contributors from the diagram

    which account for about 60% of the total.

    PRINCIPLE FOLLOWED FOR SELECTION

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    Worker FWorker E

    Worker C

    Worker B

    Worker A

    Worker D

    Worker G

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    %

    Let us concentrate on the first two

    workers. They constitute morethan 60% of the defective parts.

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    Represent these as 'Vital Few' and

    proceed towards solving these problems

    We have chosen Workers E & F as

    the vital few. Let us brainstorm to

    gather useful suggestions so as to

    impart meaningful training to them.

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    Once they are solved or satisfactorily

    attended to, collect data on present

    situation on the defect status.

    The performance of E & F

    seems to have improved

    considerably. I think weshould collect fresh data

    on the present situation

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    The present position maybe, that those

    defects which were not in priority earlier are

    now occupying prime position and hence

    to be taken up for solving .

    Worker C

    Worker B

    Worker AWorker D

    Worker G

    0

    4

    8

    12

    16

    20

    24

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    %

    Now we should

    concentrate on Worker C

    and the rest

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    Work on the same

    line as earlier and

    carry on till you are

    totally satisfied inyour effort to

    eliminate theproblem.

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    Where you do not find such a change,group should decide how many defect

    types should be taken up at a time

    depending upon their capabilities.

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    The most obvious and common use of

    Pareto Analysis is in prioritizing and

    defining problems.

    USES OF PARETO ANALYSIS

    The uses are as follows

    QUALITY CIRCLE

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    Pareto analysis is also useful to

    identify the root causes of the

    quality problems

    LOT F

    LOT E

    LOT C

    LOT BLOT A

    LOT D

    LOT G

    %

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    Sir, problem is that the

    LOT F is ---------------------

    -----------------------

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    Pareto analysis is useful to check

    the effectiveness of the remedy on

    its implementation.

    I think we should draw a

    pareto again to check up the

    performance of the remedy.

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    Pareto diagram before and after solving

    a problem.

    Defective parts manufactured worker-

    wise HMT Limited

    Worker F

    Worker E

    Worker C

    Worker B

    Worker A

    Worker D

    Worker G

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    BEFORE

    Worker CWorker B

    Worker A

    Worker D

    Worker G

    0

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    AFTER

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    With the help of pareto analysis we are able topresent the data gathered in a lucid manner

    which helps us to select 'Vital few' areas. This

    way for a given effort we are able to get the

    maximum benefit .

    In order to find out the 'Vital few' factors we may

    have to stratify the data available with us. Carryon the process of stratification ti ll you have a

    clearer picture.

    SUMMARY

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    Pareto diagram is a visual method forseparating the 'Vital Few' from ' Useful Many.

    This helps us in establishing consensus

    regarding priorities based on facts. Therefore,it takes us quickly to the action stage.

    Pareto also helps us to f ind out those items

    which are not profitable for us to worry abouton an immediate basis. Sometimes such a

    mistaken notion, which we might get due to

    lack of information, would also be cleared.

    SUMMARY

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    Prepared by

    rv ind K Shuk la

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