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    Stratification

    Divide and Conquer

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    Stratification

    A technique used to divide data into

    subcategories or classification to

    provide useful insight into the

    problem.

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    Meaning of Stratification

    Root Word is Strata which means

    Group

    Division

    Subclass

    Levels Layers

    Stratification is an act of dividing databased on group, division, sub class,

    causes etc.

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    Rationale & Benefits

    Data comes from difference sources.

    E.g. : Different Machines, Instruments,Cities, Operators etc.

    Data sometimes masks real

    information.

    Stratification helps in gettingmeaningful information from data.

    Divide the data and Conquer theInformation.

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    Reached late to office on following dates

    (unstratified data) 2/7, 6/7, 9/7, 16/7, 23/7, 30/7

    Stratified data by day of the week. Mon 5 Tue 0 Wed 0 Thu 0 Fri 1 Sat 0

    Example : Late to Work

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    Example : PCB Rejection

    323033Rejection

    5/64/63/6Date

    Unstratified Data

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    Example : PCB Rejection

    1

    0

    3

    10

    Lunch1

    2

    1

    153/6

    0

    2

    1

    11

    0

    0

    2

    144/6

    14:30 5:30

    13:30 4:30

    02:30 3:30

    121:30 2:30

    1:00 1:30112:00 1:00

    111:00 12:00

    010:00 11:00

    169:00 10:00 5/6Time

    Stratified Data

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    E.g. Accidents in Machine Shop

    12

    10

    13

    9

    1112

    0

    2

    4

    6

    8

    10

    12

    14

    Jan Feb Mar Apr May Jun

    Month

    No.ofA

    ccidents

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    After Stratification

    98

    12

    8

    1110

    32

    1 1 0

    2

    0

    2

    4

    6

    8

    10

    12

    14

    Jan Feb Mar Apr May Jun

    Month

    No.ofA

    ccidents

    Press Shop

    Welding

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    Steps in Stratification

    1. List all conditions

    2. Collect and Stratify Data

    3. Interpret the Data

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    Step 1 : List all Conditions

    List all conditions that may seem to be

    the cause of the problem.

    Shift

    Location

    Raw Material Source

    Operator

    Product

    Machine Inspection Equipment

    Day of Week

    Time of Day

    Material Batch

    Inspector

    Production Batch

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    Step 2 : Collect and Stratify Data

    Collect additional data based on

    classification, if necessary.

    Stratify data based on the

    classification

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    Step 3 : Interpret the Data

    Calculate average of each classification

    or plot appropriate graph.

    Look for significant differences OR

    abnormalities in data.

    Generate a list of possible causes.

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    Pareto ChartVital Few and Trivial Many

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    Pareto Chart

    Pareto Chart is a diagram that shows the

    order of the largest number of occurrences

    by item or by classes, and the cumulative

    sum total.

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    Genesis of Pareto Chart

    Vilfredo Pareto (1848

    1923), an Italian economistdiscovered in 1897 that80% of a nations wealthwas owned by 20% of thepopulation.

    Dr. Joseph M. Juranapplied this principle to

    Quality Management andcalled it the ParetoPrinciple.

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    Pareto Principle

    20%

    80%

    Inputs

    CausesEffort

    Outputs

    EffectsResults

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    Rationale and Benefits

    Pareto Principle : 80 % of the problems

    comes from 20% of the causes.

    Distinguishes between vital few and

    trivial many.

    Displays relative importance of causesof a problem.

    Helps the team to focus on those causes

    that will have the greatest impact whensolved.

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    Causes for Starting Late to Office

    0

    20

    40

    60

    80

    100

    120

    140

    Newspaper Bathroom

    Delay

    Overslept Garage

    Door

    Iron Clothes Others

    Causes

    Freq

    uency

    0%

    20%

    40%

    60%

    80%

    100%

    CumulativePercentage78%

    C f S f D f t

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    Causes for Surface Defects

    0

    20

    40

    60

    80

    100

    120

    140

    160

    Stain Scratch Peeling Crack Pinhole Gap OthersCauses

    Frequ

    ency

    0%

    20%

    40%

    60%

    80%

    100%

    Cumulative

    Percentage

    84%

    P t C t R

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    Pareto on Customer ResponseWhat did you like least after the surgery ?

    0

    10

    20

    30

    40

    50

    60

    Waiting Nursing No Privacy No

    Empathy

    Pain No Info. Others

    Causes

    Frequency

    0%

    20%

    40%

    60%

    80%

    100%

    CumulativePercentage

    76%

    St i ki P t Ch t

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    Steps in making a Pareto Chart

    1. Select the problem.

    2. Collect data.3. Sort data & calculate cumulative

    percentage.

    4. Draw the axes.5. Construct the bars.

    6. Draw the cumulative percentage line.

    7. Title and label the chart.8. Identify Vital Few from the Trivial

    Many and plan further action.

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    Step 1 : Select the Problem

    Select the problem for investigation.

    Decide what data will be necessary and

    how to classify them.

    Determine the method of collecting data

    and period of data collection.

    Design a separate Check Sheet if

    necessary.

    Eg : Causes for Service Complaints ofComputer System.

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    Step 2 : Collect Data

    52Virus Attack

    3Rodent Problem

    12Others

    5Loose Connection4Email not functioning

    9Operating System Corrupted

    3System Re-configuration

    6Bad Configuration

    8Boot Problems

    23Server Crash

    11Print Problems

    FrequencyCauses

    St 3 S t D t & C l l t

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    Step 3 : Sort Data & CalculateCumulative Percentage

    136Total

    K

    J

    I

    H

    G

    FE

    D

    C

    B

    A

    Code

    89%1213System Re-configuration

    87%1184Email not functioning

    84%1145Loose Connection

    80%1096Bad Configuration76%1038Boot Problems

    70%86+9=959Operating System Corrupted

    75/136 = 55%52+23=7523Server Crash

    52/136 = 42%5252Virus Attack

    12

    3

    11

    Freq-

    uency

    136

    124

    75+11=86

    Cumulative

    Freq.

    91%Rodent Problem

    100%Others

    63%Print Problems

    Cumulative

    % age

    Causes

    St 4 C t t th A

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    Step 4 : Construct the Axes

    0

    20

    40

    60

    80

    100

    120

    A B C D E F G H I J KCauses

    Frequency

    0%

    20%

    40%

    60%

    80%

    100%

    Cumulative

    Percentage

    136

    136 = 100%

    St 5 D th B

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    Step 5 : Draw the Bars

    0

    20

    40

    60

    80

    100

    120

    A B C D E F G H I J KCauses

    Frequency

    0%

    20%

    40%

    60%

    80%

    100%

    Cumulative

    Percentage

    136

    Step 6 : Draw the Cumulative

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    Step 6 : Draw the CumulativePercentage Line

    0

    20

    40

    60

    80

    100

    120

    A B C D E F G H I J KCauses

    Frequency

    0%

    20%

    40%

    60%

    80%

    100%

    Cumulative

    Percentage

    136

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    Step 7 : Label & Title the Chart

    0

    20

    40

    60

    80

    100

    120

    A B C D E F G H I J KCauses

    Frequency

    0%

    20%

    40%

    60%

    80%

    100%

    CumulativeP

    ercentage

    136 Pareto of Service Complaints

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    Step 8 : Interpret the Chart

    0

    20

    40

    60

    80

    100

    120

    A B C D E F G H I J KCauses

    Frequency

    0%

    20%

    40%

    60%

    80%

    100%

    CumulativeP

    ercentage

    136 Pareto of Service Complaints

    70%

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    Flat Pareto ??

    0

    20

    40

    60

    80

    100

    120

    A B C D E F G H I J KCauses

    Frequency

    0%

    20%

    40%

    60%

    80%

    100%

    CumulativeP

    ercentage

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    Tips for Making a Good Pareto

    Chart It is undesirable that others represent

    a high percentage (should be < 10%).

    If the cause of a problem can be solved

    easily, implement it even if it belongs to

    the trivial many.

    Wherever possible, compare monetary

    data with frequency data.

    Draw the Pareto chart before and afterimprovement.

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    Which problem to solve ?

    0

    200

    400

    600

    800

    1000

    1200

    A B C D E F G H I J K

    PP

    M

    0%

    20%

    40%

    60%

    80%

    100%

    0

    20

    40

    60

    80

    100

    120

    140

    D B C E A G F J I H K

    Rs.in'000

    0%

    20%

    40%

    60%

    80%

    100%Rejections by PPM Rejections by Rs.

    B f d Aft I t

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    Before and After Improvement

    0

    10

    20

    30

    40

    50

    60

    Waitin

    g

    Nursin

    g

    NoPrivacy

    NoEmpath

    y

    Pain

    NoInfo.

    Others

    Causes

    F

    requency

    0%

    50%

    100%

    0

    10

    20

    30

    40

    50

    60

    Nursing

    NoPriva

    cy

    NoEmpathy

    Waiting

    Pa

    in

    NoInfo.

    Othe

    rs

    Causes

    F

    requency

    0%

    100%

    Improvement

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    Brainstorming

    Creativity at Work

    B i t i

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    Brainstorming

    Creativity and Collective Wisdom at

    Work Place.

    Diagnose, Solve and Prevent

    Problems and Effect Improvements

    B i t i C td

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    Brainstorming Contd..

    Technique for a team to creatively

    and efficiently generate the greatest

    possible number of ideas on any

    topic.

    F th f B i t i

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    Brainstorming was first

    effectively used andintroduced by Alex F.

    Osborn of U.S.A. in

    1941.

    An Advertisement Exe-

    cutive.

    Author of Book Applied

    Imagination.

    Father of Brainstorming

    B i t i

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    Brainstorming

    Brainstorming is a conference technique

    of solving specific problems, amassing

    information, stimulating creative

    thinking, developing new ideas by

    unrestrained and spontaneous

    participation in discussion.

    The Random House Dictionary

    R ti l d B fit

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    Rationale and Benefits

    Person close to the job knows more

    about the job.

    Encourages OPEN thinking.

    Enables people to participate in acreative way.

    Minimizes domination by a few people.

    Self Fulfilling.

    T f B i t i

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    Types of Brainstorming

    A process in which

    each team member

    give ideas in turn.

    A process in which

    each team member

    give ideas as theycome to mind.

    Brainstorming

    Structured UnStructured

    St f B i t i

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    Stages of Brainstorming

    1. Stating the Problem.

    2. Re stating the problem.

    3. Brainstorming.

    4. Evaluating the ideas produced.

    P R i it

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    PreRequisites

    Relaxed and cordial atmosphere.

    Information to all members about the

    theme of the session.

    All ideas should be recorded and

    recalled, if necessary.

    All should participate.

    Fo r R les of Brainstorming

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    Four Rules of Brainstorming

    Encourage Wild

    IdeasQuantity rather

    than Quality Ideas

    Four Rules of Brainstorming

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    Four Rules of Brainstorming Contd.

    Ride on Anothers

    Idea PiggybackSuspend Judgement

    Guidelines and Ground Rules

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    Guidelines and Ground Rules

    Freewheeling is encouraged.

    Wilder, Offbeat, Erratic, Stupid, Trailblazing, Impractical ideas are welcomed

    Be open minded

    Spontaneity required

    Evoke fun atmosphere

    Heart rules over Head

    Guidelines and Ground Rules

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    Judgement Suspended.

    Criticism Ruled out. Participation by All.

    Quantity is encouraged. Structured or Unstructured.

    Combination and Improvement ofIdeas. Cross Fertilisation.

    Piggyback.

    Six Persons - Six Minutes Formula.

    Guidelines and Ground Rules Contd..

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    Cause and Effect

    DiagramIdentify and Cure Causes

    Cause and Effect Diagram

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    Cause and Effect Diagram

    A diagram which representsmeaningful relationship between an

    effect and its causes.

    A diagram which shows the relation

    between a Quality Characteristic

    and the Cause Factors.

    JIS Definition

    Rationale and Benefits

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    Rationale and Benefits

    Enables a team to identify, explore and

    graphically display all the possiblecauses related to a problem.

    A cause and effect diagram is good forseeing the whole causal relationship.

    Enables identification of root causesand not symptoms.

    Father of Cause & Effect Diagram

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    Father of Cause & Effect Diagram

    Dr. Kaoru Ishikawa developed

    the first cause and effect

    diagram in 1943 while

    consulting for Kawasaki Steel

    Works.

    Dr. Juran named it as

    Ishikawa diagram.

    Structure of C & E Diagram

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    Structure of C & E Diagram

    Effect

    (Characteristic)

    Big Bone

    Back Bone

    SmallBone

    Medium SizedBone

    Causes (Factors)

    C & E Diagram is also known as

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    C & E Diagram is also known asFishbone Diagram

    Three Types of Cause and Effect

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    Three Types of Cause and EffectDiagram

    1. Dispersion Analysis type.

    2. Process Flow Classification type.

    3. Cause Enumeration type.

    Note : Dispersion Analysis type andCause Enumeration type differ onlyin the method of construction.

    Dispersion Analysis type Cause and

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    p y ypEffect Diagram

    workersMaterials

    Wobble

    ToolsInspection

    Over

    experienced

    Experienced

    Under-experienced

    Personality

    Content

    Training

    Knowledge

    6.4

    Small Large

    Centralaxle

    Material Quality 11.6

    Uneven

    F Cover

    Axle holeInterval Loose Tight

    Nuts

    Threads

    Material quality

    G axle bearing

    Large

    6

    2.6Size

    9

    MeasurementMeasuringtool

    Errors

    Judgement

    Judgement

    method

    Training

    Inspector

    Experience

    Off-centre

    Adjustment Off-centre

    Cover hole

    G axle bearing cover

    PlatingUneven

    F cover

    Punch width

    F axle cover

    Axle stopMetal drill

    G axle cover

    Process Flow Classification type

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    ypCause & Effect Diagram

    MaterialPipe

    making CorrectingPlanning

    WaterPressure

    test

    Bed

    removingInspection

    SteelPipe

    scarsBench rolling

    Movement

    Polishing

    Weight

    Wire

    Bunching

    Arrange bench drop

    Polish

    Value

    Movement

    Difference

    Weight

    Carriage

    Surface paint

    Bench rolling

    Position placement

    Position placement

    Group movement

    Bench movement

    Common aberration

    Bunching

    Loosening

    Dropping

    Bench movement

    Conveyor

    Roll

    Flare

    Impurity

    Steps in Constructing Dispersion

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    p g ptype C & E Diagram

    1. State the undesirable effect.

    2. Identify the main cause groups.

    3. Identify causes and subcauses.

    4. Identify potential root cause(s).

    Step 1

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    Step 1

    State the undesirable effect and draw

    the back bone and draw a line.

    High Process

    Rejection

    EffectCauses

    Step 2

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    Step 2

    High Process

    Rejection

    Machine Man

    Material Method

    Identify the main cause groups such as

    man, machine, method, material,

    measurement, tool.EffectCauses

    Step 3

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    Step 3

    High Process

    Rejection

    Machine Man

    Material Method

    Identify the causes and sub causes.

    Ask WHY several times.

    High

    Hardness

    Not Specified

    to VendorRod

    Bent

    Poor

    Handling

    No Inspection

    EffectCauses

    Step 4

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    Step 4

    High Process

    Rejection

    Machine Man

    Material Method

    Identify potential root cause(s).

    High

    Hardness

    Not Specified

    to VendorRod

    Bent

    Poor

    Handling

    No Inspection

    EffectCauses

    Identify Significance of Each Cause

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    Identify Significance of Each Cause

    High Significance

    Moderate Significance

    Weak Significance

    Steps in Constructing Process Flow

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    p gType C & E Diagram

    1. State the undesirable effect.

    2. Draw the main process flow diagram.

    3. Identify the cause and subcauses at

    each stage of the process.

    4. Identify potential root cause(s).

    Step 1

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    Step 1

    State the undesirable effect and draw a

    verticle line.

    Delay inDelivery

    EffectCauses

    Step 2

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    Step 2

    Draw the main process flow.

    Delay inDeliveryMaterialReceipt Machining Assembly Inspection

    EffectCauses

    Step 3

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    Step 3

    Identify the cause and subcauses at each

    stage of the process.

    Delay in

    Delivery

    Material

    ReceiptMachining Assembly Inspection

    MaterialShortage

    Material

    Rejected

    Vendor Tool

    Damaged

    MachineBreakdown

    Capacity

    Constraint AbsenteeismIncomplete

    Assembly

    High Cycle

    TimeRectification

    EffectCauses

    Step 4

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    Step 4

    Identify potential root cause(s).

    Delay inDelivery

    MaterialReceipt

    Machining Assembly Inspection

    Material

    Shortage

    Material

    Rejected

    Vendor Tool

    Damaged

    MachineBreakdown

    Capacity

    Constraint AbsenteeismIncomplete

    Assembly

    High CycleTime

    Rectification

    EffectCauses

    Steps in Constructing CauseC &

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    gEnumeration Type C & E Diagram

    1. State the undesirable effect.

    2. List all possible causes using

    brainstorming.

    3. Arrange causes and subcauses showing

    the relationship between cause and effect.

    4. Identify potential root cause(s).

    Step 1

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    Step 1

    State the undesirable effect.

    Time for

    Installation

    of Machine

    is High

    Step 2

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    Step 2

    List all possible causes using brainstorming.

    Parts notavailable on

    timeDo not have

    license

    for stamping

    Relevant Forms

    not received

    Performance

    problems

    during installation

    Payment not

    collected as per terms

    Poor follow-up

    by branch

    Lack of

    Funds

    Civil work

    notcommenced

    No communication

    to branch on civil

    work

    Customers

    ProjectPostponed

    Lorry not

    available

    Customer wants

    see our installation

    Time for

    Installation

    of Machine

    is High

    Step 3

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    HO DelayBranch

    Delay

    Customer

    DelayOthers

    Parts not avai-

    lable on timeDo not have license

    for stampingPerformance problems

    during installationPayment not

    collected as per terms

    Poor follow-up

    by branch

    Poor information

    on site readiness

    Lack of Funds

    Civil work notcommenced

    No communication

    to branch on civil

    work

    ProjectPostponed

    Lorry not

    availableCustomer wants

    see our installation

    Time for

    Installationof Machine

    is High

    Relevant Forms

    not received

    pArrange causes and subcauses suitably.

    EffectCauses

    Step 4

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    pIdentify potential root cause(s).

    HO

    Delay

    Branch

    Delay

    Customer

    DelayOthers

    Parts not avai-

    lable on timeDonot have license

    for stampingPerformance problems

    during installationPayment not

    collected as per terms

    Poor follow-up

    by branch

    Poor information

    on site readiness

    Lack of Funds

    Civil work notcommenced

    No communication

    to branch on civil work

    ProjectPostponed

    Lorry not

    availableCustomer wants

    see our installation

    Time for

    Installationof Machine

    is High

    Relevant Forms

    not received

    EffectCauses

    Hints for Constructing a C & E

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    gDiagram

    Identify all the relevant causes

    (factors) & the causes most strongly

    influencing the effect (characteristic).

    Express the effect (characteristic)

    negatively.

    The linking question between effect

    and its cause is WHY ?.

    Make the same number of cause andeffect diagrams as that of effects.

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    Identifying Correlation

    Scatter Diagram

    Scatter Diagram

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    A chart used to study and identify the

    possible relationship between two

    variables.

    Scatter Diagram Contd..

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    g

    To identify the possible relationship

    between the changes observed in twovariables.

    To establish the Existence of correlation

    Type of correlation

    Strength of the relation

    Rationale and Benefits

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    To confirm a hypothesis (assumption) that

    two variables are related.

    Provide both visual and statistical means to

    test the strength of a potential relationship.

    Provide a good follow up to a cause and effect

    diagram to find out if there is more than just

    a consensus connection between causes andeffects.

    Examples of Two Variables

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    Cake height and Oven temperature.

    Weight and Height of a person.

    Population & Literacy levels in a state.

    Weight error and Earthing voltage.

    Nonconformance & Operator experience

    Examples of Two Variables Contd

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    Contd..

    Hardness & Carbon content

    Inspection Mistakes & Illumination levels

    Elongation of threads & Moisture content

    Childs height & Fathers height

    Quality characteristic and the Factor

    affecting it.

    Weight & Height of a Person

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    40

    50

    60

    70

    80

    90

    100

    110

    155 160 165 170 175 180 185 190

    Weight(kg)

    Height (cm)

    Capacitance & Line Width

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    0.5

    1

    1.5

    2

    2.5

    3

    3.5

    30 40 50 60 70 80

    Capacitanc

    e(Pictofar

    ads)

    Line Width / Spacing (in microns)

    Steps in making a Scatter Diagram

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    p g g

    1. Collect paired data.

    2. Choose independent and dependent variable.

    3. Draw the axes.

    4. Plot the points

    5. Label and title the chart

    6. Interpret the chart.

    Step 1: Collect Data

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    Collect 50 100 paired data (X,Y) betweenwhich you want to study the relation, and

    construct a data sheet

    3.3 cm68o60...

    ...

    3.0 cm57o32.8 cm49

    o

    2

    3.2 cm60o1

    Cake HeightOven TemperatureSample

    Step 2 : Choose Independent andDependent Variables

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    Dependent Variables.

    Always choose X axis for the cause

    and Y axis for the effect, when the two

    variables consist of a factor and

    quality characteristics.

    Oven Temperature = Independent Cake Height = Dependent

    Find the respective maximum andminimum values of the variable.

    Step 3 : Draw the Axes.

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    2

    2.5

    3

    3.5

    4

    4.5

    5

    3 5 4 0 4 5 5 0 5 5 6 0 6 5 7 0

    Independent Variable,Oven Temperature

    Dependent Variable,

    Cake Height

    Step 4 : Plot the data

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    2

    2.5

    3

    3.5

    4

    4.5

    5

    35 40 45 50 55 60 65 70

    Step 5 : Label & Title the chart

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    Oven Temperature vs. Cake Height

    Oven Temperature (oC)

    CakeHeight(cm)

    2

    2.5

    3

    3.5

    4

    4.5

    5

    35 40 45 50 55 60 65 70

    Step 6 : Interpreting the Chart

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    Strong Positive Correlation

    Increase in x, will increase y

    1

    1.5

    2

    2.5

    3

    3.5

    35 40 45 50 55 60 65 70

    Variabley,Dependent

    Variable x, Independent

    Step 6 : Interpreting the Chart Contd

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    Contd..Strong Negative Correlation

    Increase in x, will decreasey

    -3.5

    -3

    -2.5

    -2

    -1.5

    -1

    35 40 45 50 55 60 65 70

    Variabley,Dependent

    Variable x, Independent

    Step 6 : Interpreting the Chart Contd

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    Contd..

    1

    1.5

    2

    2.5

    3

    3.5

    35 40 45 50 55 60 65 70

    Positive Correlation

    Increase in x, may increasey

    Va

    riabley,De

    pendent

    Variable x, Independent

    Step 6 : Interpreting the Chart Contd..

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    Contd..

    -3.5

    -3

    -2.5

    -2

    -1.5

    -1

    35 40 45 50 55 60 65 70

    Negative Correlation

    Increase in x, may Decreasey

    Variabley,De

    pendent

    Variable x, Independent

    Step 6 : Interpreting the Chart Contd

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    Contd..

    1

    1.5

    2

    2.5

    3

    3.5

    30 35 40 45 50 55 60 65 70

    No Correlation

    V

    ariabley,D

    ependent

    Variable x, Independent

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    Control Chart

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    It is a type of run chart used for

    studying process performance over

    time in order to understand and

    reduce variation.

    Father of Control Chart

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    Dr. Walter A. Shewhart

    invented the control chart.

    He was working in BellLabs on a project to make

    all telephones alike.

    Published the bookEconomic Control of

    Quality of ManufacturedProductin 1931.

    Principles of Variation

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    1. Every process is subject to variation.

    2. More the variation in the process, more

    the loss to society.

    3. Two types of causes affect variation.

    a. Common Cause (also known as

    Chronic cause, Chance cause)

    Principles of Variation Contd..

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    b. Special Cause (also known as

    Sporadic cause, Assignable cause)

    4. Action on variation entirely depends on

    type of cause identified.

    Common Cause

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    The cumulative effect of many small and

    individually uncontrollable causes of

    variation in a process.

    Special Cause

    One or a few causes of variation thatresult in a large variation in the process.

    Common vs. Special Cause

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    Common Cause

    Consists of manyindividual causes.

    Results in relativelysmaller variation.

    Process need not betampered with.

    Process is consi-dered stable.

    Special Cause

    Consists of one or afew causes.

    Results in largevariation.

    Process needs to beinvestigated andcorrected.

    Process is unstable.

    Rationale and Benefits

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    Control chart is used fordifferentiating between commoncauses and special causes of variation.

    Control chart also helps in

    determining whether the process is stable.

    process is capable.

    It helps in predicting processperformance.

    Types of Data

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    Variable Data

    Data that can be measured.E.g.: Weight, Length, Diameter,

    Hardness, Angle.

    Attribute Data

    Data that can be counted.

    E.g.: Defects, Scratches, Dent, Spatters,

    Blow holes, cracks.

    Classification of Control Chart

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    Control Chart

    Variable Data

    X R ChartX mR chart

    mX mR Chart

    Attribute Data

    p chartc chart

    np chart

    u chart

    Example of Control Chart

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    24.75

    25.00

    25.25

    25.50

    25.75

    26.00

    26.25

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

    Diameter(mm)

    0.0

    0.5

    1.0

    1.5

    2.0

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

    Sub-group

    R

    ange(mm)

    UCLx

    LCLx

    X

    UCLR

    LCLR

    R

    Parts of a Control Chart

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    24.75

    25.00

    25.25

    25.50

    25.75

    26.00

    26.25

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

    X Axis

    Variable Data

    UCLx

    LCLx

    X

    Sub-Group Control

    Limits

    Central

    Line

    Data Points

    Diam

    eter(mm)

    Definition of Terms

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    Sub Group

    Smaller groups of sample data collectedover time.

    Central Line The average of all the sub group

    averages.

    Control Limits

    The outer limits of Process Variation.

    Control Limit vs. Specification Limit

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    Control Limit

    Variation in the

    process.

    Noise of theprocess.

    Limits change withsetting, correction,process changes etc.

    Indicates Capability.

    Specification Limit

    Requirement of the

    customer.

    Voice of thecustomer.

    Limits change onlywhen customerwishes to change.

    IndicatesRequirement.

    Steps in Constructing a ControlChart

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    Chart

    1. Collect the data.

    2. Calculate subgroup average.

    3. Calculate overall average.

    4. Calculate the range.

    5. Compute average of range.

    6. Calculate control limits for X and R

    7. Plot the chart.8. Interpret the chart.

    Step 1: Collect Data

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    Collect and stratify data into sub-groups.

    59

    11

    25

    35

    X4

    384229284

    441611293

    343137192

    204432471

    X5X3X2X1Sub-Group

    Step 2: Calculate SubgroupAverage,X

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    where n is the size of the subgroup.

    nXXXXXX 543211

    6.355

    20354432471 X

    Average, X

    Step 3: Calculate the OverallAverage X

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    k

    XXXXX

    4321

    4

    2.392.222.296.35 X

    where k is the number of subgroups.

    Average,X

    Step 4: Calculate the SubgroupRange, R

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    Range, R

    R = Maximum Value Minimum Value

    R1 = 47 20 = 37

    Step 5: Calculate the Average ofRanges,R

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    kRRRRR

    4321

    25.274

    31331827

    R

    where k is the number of subgroups.

    Ranges,R

    Step 6: Compute Control Limits

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    Control Limits for chart

    Central Line =

    Upper Control Limit :

    Lower Control Limit :

    A2 is the coefficient whose value depends onthe subgroup size

    X

    X

    RAXUCLX 2

    RAXLCLX 2

    Step 6 : Control Limits for R Chart

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    Central Line :

    Upper Control Limit :

    Lower Control Limit :

    D3

    and D4

    are coefficients whose value

    depend on the subgroup size.

    RDUCLR 4

    RDLCLR 3

    R

    Step 6: Coefficients for R chartX

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    2.5342.00400.4836

    2.3262.11400.5775

    2.0592.28200.7294

    1.6932.57401.0233

    1.1283.26701.8802

    d2D4D3A2n

    R ChartChartSubgroup

    Size

    X

    Step 7 : Plot the Control Chart

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    Vertical Axis: and R values

    Horizontal Axis : Subgroup number

    Draw the central line : and R.

    Draw the control limit lines.

    X

    X

    Step 7 : Plot the Control Chart Contd..

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    Plot the and R values and join the

    points.

    Write necessary items like name of the

    process, product, size of the subgroup,work conditions, shift, etc.

    X

    Step 8 : Interpret the chart

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    Process Stability

    Look at the patternof variation.

    Should be random

    and not a systematic

    pattern.

    Look for presence of

    special causes.

    5 rules of special

    cause identification.

    Process Capability

    Establish process

    variation.

    Compare with

    customer speci-

    fication and

    establish process

    capability.

    Stable Process

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    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

    XbarorR

    - Random variation and no systematic pattern- No action required (if Cpk > 1.67)

    Rule 1: Points beyond Control Limit

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    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

    XbarorR

    - Presence of special cause- Identify root cause and take action.

    Rule 2: Run of 7 points on one sideof Central Line

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    - Presence of special cause- Process has shifted.

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

    XbarorR

    Rule 3: Six Consecutive PointsIncreasing or Decreasing

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    g g

    - Presence of special cause- Process is deteriorating.

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

    XbarorR

    Rule 4: Periodicity

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    - Presence of special cause- Periodic Interference in the process.

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

    XbarorR

    Rule 5: Fourteen ConsecutivePoints Alternating Up and Down

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    - Presence of special cause.- Identify root cause and take action.

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

    XbarorR

    Process Capability

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    Process Capability is a measure ofinherent variability of the process

    when compared with the customerrequirements.

    Rationale and Benefits

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    Assess capability of a process to meet

    customers requirement.

    Assist in selecting or modifying aprocess.

    Assist in selection of machine.

    To build quality into the product andprocess rather than achieving qualityby inspection.

    Process Capability Assessment

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    Establish Process Variation

    Process Variation = 6

    d2 is a constant based on sub groupsize.

    Refer slide number 101 / PST&T / O - 22

    2d

    R

    Compare with CustomerSpecification

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    LSLUSL

    Cp 6

    Capability =Customer Requirement

    Process Variation

    Cp > 1.33; Process is more capable

    than customer requirement

    Compare with CustomerSpecification Contd..

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    Cp = 1.0; Process is just capable of

    meeting customers require-ment

    Cp< 1.0; Process is not capable of meeting

    customers requirement

    Compare with CustomerSpecification Contd..

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    3)(

    ;3

    )( LSLXXUSL

    MinimumCpk

    Cpk = Cp; Process is centred with respect

    to customers requirement.

    Cpk Cp; Process is NOT centred with

    respect to customersrequirement.

    Accidents in a Factory

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    Total Accidents : 94

    A - Accidents with respect to Head : 1

    B - Accidents with respect to Face : 3

    C - Accidents with respect to Body : 7

    D - Accidents with respect to Hand : 9

    E - Accidents with respect to Fingers : 69

    F - Accidents with respect to Leg : 5

    94

    Cause PercentagePercentage Cummulative

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    e ce tage Cu u at ve

    Percentage

    E 69 / 94 x 100 = 73.40% 73.40 %

    D 9 / 94 x 100 = 9.57% 82.97 %

    C 7/ 94 x 100 = 7.45% 90.42 %

    F 5 / 94 x 100 = 5.32% 95.74%

    B 3 / 94 x 100 = 3.19% 98.93%

    A 1 / 94 x 100 = 1.07% 100.00%

    100.00%

    Pareto Chart90

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    69

    9 7 5 3

    10

    10

    20

    30

    40

    50

    60

    70

    80

    E D C F B A Causes

    Frequency

    73.4%

    E : VITAL FEW D, C. F. B, A = TRIVIAL MANY

    Pareto Chart

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    VITAL FEW FROM TRIVIAL MANY

    A PCB Rejected 30% @ Wave Soldering Stage

    Causes :

    A - Wrong Mounting - 3

    B - Compt Missing - 2

    C - Dry Solder - 16

    D - Compt Jumping - 8

    E - Wrong Polarity - 1

    30

    Pareto Chart

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    Rearranging the same

    Causes :

    C 16 16 / 30 * 100 = 53.33% 53.34%

    D 8 8 / 30 * 100 = 26.66% 80.00%

    A 3 3 / 30 * 100 = 10.00% 90.00%

    B 2 2 / 30 * 100 = 6.66% 96.66%

    E 1 1 /30 * 100 = 3.33% 100.00%

    Pareto Chart30

    100%

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    16

    8

    32

    1

    0

    5

    10

    15

    20

    25

    C D A B E

    Causes

    Fr

    equency

    80

    C + D : 80%

    A, B, E : 20%

    90

    96.6 100%

    Percentage

    Pareto Chart

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    Eg : A casting machine had 32% rejection

    Causes :

    A Due to Workmanship : 3

    B Due to Casting Quality : 8

    C Due to Cutter Problem : 18

    D Due to Machine problem : 2

    E Due to Miscellaneous causes : 1

    32

    81.25%

    Pareto Chart

    Data Structuring

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    Data Structuring

    96.876.25312D

    100.003.13321E

    90.629.37293A

    81.2525.00268B

    56.2556.251818C

    Cummulative

    Percentage

    PercentageCummulative

    Total

    NumberItem

    Pareto Chart40 100

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    12

    3

    8

    18

    0

    5

    10

    15

    20

    25

    30

    35

    C B A D E

    0

    20

    40

    60

    80

    81.25

    C + B : 81.25% = Vital few

    A, D, E = Trivial many

    90.62 96.87

    Cummulativ

    ePercentage

    56.25

    25

    9.37

    6.25 3.13

    Perc

    entage

    Cause & Effect Diagram

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    Performance Planning

    QualityHigh

    Turnover

    Monitoring

    Identify

    Assessment

    Monitoring

    Resignations

    Transport

    ExcessiveOvertime

    Line Balance

    Capacity

    Efficiency

    Bottle Neck

    Scheduling

    MRPWork Load

    Shortage

    RejectionsQC

    Training

    Rework

    QC

    Mgmt. Style

    Scheduling

    Wages

    Environment

    Cause & Effect Diagram depictingthe causes for Divorces

    Family

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    Divorce

    Staying away

    Incompatibility

    Family

    PressureEgo

    Work

    Sexual

    Thought

    Religious

    Cultural

    Social

    Family

    Demands(Like Dowry)

    Over family

    affiliation by

    either spouse

    Disliking FamilyMembers

    Family

    Torture

    Popularity

    Successful

    Profession

    Superior

    Education

    Special Talent

    Rich Family

    Background

    Sexual

    Monetary

    Materialistic

    Behavioural

    Non

    availability

    PopularityInsecurity

    Inability to

    earn

    Greed

    Miser

    Spend

    Thrift

    Spirituality

    Affairs

    Workaholic

    CharacterIllness

    (Like mental, psychological)

    Failure in

    expectations

    Over

    Possessiveness

    Money

    Distractions

    Personal

    Q.C.C - Case Studies

    R d i R j ti

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    Reducing Rejections

    Reducing Cycle Time

    Reducing Consumables Cost

    Reducing Energy Cost

    Design Change

    Improving manufacturing process

    Eratic behaviour of machine

    Elimination of canteen Coupons

    Q.C.C - Case Studies

    f A

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    Elimination of Leave Application

    Elimination of mosquito menace in the colony

    Raising blood donations

    Reducing accidents

    Improving management education

    Improving security of goods in an organisation

    Improving Environment of Organisation

    Improving Safety provisions

    Otto Bilz India Pvt. Ltd.World Class Manufacturing Goals &

    Targets

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    Targets

    9.5 in 10

    scale

    9.0 in 10

    scale

    8.5 in 10

    scale

    To be measuredSupplier Satisfaction5.

    9.5 in 10

    scale

    9.0 in 10

    scale

    8.5 in 10

    scale

    To be measuredEmployee Satisfaction4.

    9.5 in 10

    scale

    9.0 in 10

    scale

    8.5 in 10

    scale

    7.3 in 10 ScaleCustomer Satisfaction3.

    100%>98%>95%43.05%On time Delivery2.

    100 PPM500 PPM2000 PPM43545 PPMQuality level1.

    200520042003Present / 2002Goals

    Sl.

    No.

    Targets

    Otto Bilz India Pvt. Ltd.World Class Manufacturing Goals &

    Targets

  • 8/10/2019 QC Tools Best

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    Targets

    40%35%25%16%New customer for

    existing productNew product for

    existing customer

    10.

    7 man-days

    / Employee

    6 man-days

    /Employee

    5 man-days

    / Employee

    5 man-days @

    35%

    Training Hrs /

    Employee / Year

    9.

    1000 Nos.600 Nos.300 Nos.0Suggestion /Kaizen

    8.

    120 Nos.100 Nos.60 Nos.0SGA7.

    >85%>75%>65%43%OEE6.

    200520042003Present / 2002Goals

    Sl.

    No.

    Targets

    Otto Bilz India Pvt. Ltd.World Class Manufacturing Goals &

    Targets

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    Targets

    ISO 14001 /TS 16949

    OSHAS

    PreparationCertification15.

    30 days40 days45 days69 daysDebtors Turnover

    Ratio

    14.

    160 hrs140 hrs125 hrs80 hrsStd hrs cleared /

    Employee / month

    13.

    25 crores15 crores10 crores8 croresSales Turn over12.

    251583.95Inventory Turn

    over ratio

    11.

    200520042003Present / 2002Goals

    Sl.

    No.

    Targets

    Otto Bilz India Pvt. Ltd.World Class Manufacturing

    Goals & Targets

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    Goals & Targets

    Rs.50000

    @ 0.02

    Rs.1 lakh

    @ 0.07%

    Rs.3 lakhs

    @ 0.3%

    Rs.4300000

    @ 5.3%

    Quality cost / Sales20.

    5 Sigma4 SigmaInitiationThree6 Sigma19.

    NilDeming Award18.

    Award2006

    Preparation

    NilCII Excellence

    award

    17.

    Golden

    peacock

    Implemen-

    tation

    NilGolden peacock

    award

    16.

    200520042003Present / 2002Goals

    Sl.

    No.

    Targets

    Otto Bilz India Pvt. Ltd.World Class Manufacturing

    Internal Goals & Targets

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    Internal Goals & Targets

    30%15%

    20%

    5%

    7.04.53.252.14 lakhsValue added Per Employee5.

    3%3.5%4%5%Energy cost to sales4.

    -5%EVA % to Expected return3.

    25%15%-1.3%Operating profit % to sales2.

    02530 nos.Customer complaints1.

    200520042003PresentGoals

    Sl.

    No.

    Targets

    EVA : Economic Value Addition

    What is Kaizen ? Kaizen means continuous improvement

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    Kaizen is basically small small improvements

    carried out by the person who is doing the job in hisday to day work

    Continuous improvement everyday throughinvolvement of everyone in the organisation is thekey for excellence.

    Piling small improvements on top of each other

    What is Kaizen ?The Kaizen philosophy implies that :

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    Whatever we do can be continuously improved-be it

    our working life or personal life.

    Kaizen is something that anybody can do, everyoperator must devote time for making

    improvements.

    Kaizen means looking at everyday work in a newway, seeking out area, aspects of work to improveupon, it represents the struggles on the job, and the

    means adopted to overcome these struggles withintuition, creativity, resourcefulness, common senseand determination to break the status quo.

    What is Kaizen ? Kaizen in essence, means adopting a new way, not

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    just of doing work, but a new way of thinking, one in

    which problems are not shunned but eagerly sought

    out, welcomed and solved.

    Kaizen means creating a place where

    employees feel better at work.

    - Y. Yasuda

    KAIZEN INNOVATIONBig StepsSmall Steps

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    Technological Breakthrough

    Investment

    Result-Oriented

    Fast-Growth Economy

    Conventional Know-How

    Efforts

    Process-Oriented

    Slow-Growth Economy

    Cultural Differences Between Kaizenand Traditional Organisations

    TraditionalKaizenItemSl

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    RejectionTreasuresProblem focus of

    solutions

    8.

    Critical of shop

    floor

    Serving Shop FloorSupport staff7.

    End result onlyTrends of

    Improvement

    Measurements6.

    Problem / Failure

    Source

    Improvement SourceShop floor (GEMBA)4.

    Static and RoutineConstant ImprovementShop floor methods5.

    CostsAssetsView of people3.

    Product-OutMarket-InView of customer2.CrisisPreventiveManagement Culture1.

    TraditionalKaizenItemSl.

    No.

    Cultural Differences Between Kaizenand Traditional Organisations

    T aditio alKai eIteSl

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    Functional control

    Results only.Routine short term

    Cross Functional

    Support ProcessResults change long

    term

    Management Concern16.

    Fast / SkimmingSlow / BroadeningMovement15.

    InspectorCoachCareer approach14.

    Do as toldOn-going learningDevelopment12.

    SpecialiseDespecialiseSupervision13.

    AdversaryPartnersAppraisal Unions11.

    WeaknessStrengthsApproach to Employee10.Restricted / ClosedShared / OpenInformation9.

    TraditionalKaizenItemSl.

    No.

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    Market-In

    TQC

    Industrial Robots

    QC Circles Suggestion System

    Automation

    Discipline in the workplace

    TPM

    Kanban

    Quality Improvement

    Just-In-Time

    Zero Defects

    Small Group Activities

    Labour-Management Relations

    Productivity Improvement

    New-Product Development