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    12/28/2010 Brain Gain/BSG _ Six Sigma 2

    Why is it called Six Sigma?Why is it called Six Sigma? Sigma ( ) is the symbol used to denote Standard

    Deviation which is a metric to define dispersion of data,(measurements, occurrences ,etc.) in a given set ofobservations (population);

    Data is distributed around a central tendency (meanor mode or median) and to define this spread ofdata (deviations from central tendency), the rootmean square of the sum of all deviations iscalculated to give an unique value.

    Generally, data is assumed to be normallydistributed i.e.: the central tendency is such that mean/mode/ median

    are the same value Almost all data are contained within the values defined

    by the interval: Mean +/- 3 .

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    Why is it called SixWhy is it called SixSigma?Sigma?

    Graphically Normal Distribution is represented in a histogram

    If we can achieve a +/- 3 spread with our output,within the range of specs.,we are on target !

    Thus the name six sigma.

    Upper .SpecifLimit

    Lower.Specif

    Limit

    - 3 + 3

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    What is 6 sigma?What is 6 sigma?

    6 sigma is a management methodology of whichthe goal is to improve dramatically the performanceand the quality of all your processes, services andproducts. It is:

    Customer centric

    Based on data/measurements/statistics

    A pragmatic & disciplined approach

    Business oriented, providing high returns

    Focused on reducing variability & defects

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    6 sigm a Basics6 sigm a BasicsqIf there is an output, there is a process!

    qIf there is a process there isaperformance variation

    qIf there is variation there is a probability ofdefect

    qThe customer always feels the output process variation.

    qA 6 sigma processproduces only3.4 defects per million ofopportunities (operations)

    qA process operating at 3 sigma produces66807defects per million of opportunities

    qA 3 sigma process cost you up to 20 % of your salesrevenue

    qA 6 sigma process cost you less than 1% of your salesrevenue

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    2 3 4 5 6 7 8 9 1210 16151413111

    Upper.Specif

    Limit

    Sigma curveSigma curve

    In a 3 sigma process the values are widely spread,along the center line showing the higher

    .variation of the process,In a 6 Sigma process the values are closer to the

    .center line showing less variation in the process

    6 sigma Basics6 sigma BasicsResult of variationResult of variation

    SpreadSpread

    Lower.Specif

    Limit

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    process shiftprocess shift

    2 3 4 5 6 7 8 9 1210 16151413111

    LSL USL

    1.5 1.5

    6 sigma Basics6 sigma BasicsResult of variationResult of variation

    : 3 +/- .5 = .5 x2 = 9 ; =ince R 12 +/- .ther 2 x 1 5 ( ) or shift in spread

    R

    6

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    Cost of quality at various levels of SigmaCost of quality at various levels of Sigma

    Sigma ( )Defect rate PPM Cost of quality Competitive level

    3.4 40%

    WorldClass

    Industry

    Average

    NonCompetitive

    6

    5

    4

    3

    2

    1

    6 sigma Basics6 sigma BasicsResult of variationResult of variation

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    Six Sigma MethodologySix Sigma Methodology(DMAIC)(DMAIC)

    Define

    Measure

    Analyse

    Control

    Improve

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    DMAIC StepsDMAIC Steps1. Define1. Define

    Identify projects that are measurable

    Define projects including the demands ofthe customer and the content of theinternal process. (CTQ)

    Develop team charterDefine process map

    1. Define2.

    Measure

    3. Analyze 4. Improve 5. Control

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    DMAIC StepsDMAIC Steps3. Analyse3. Analyse

    Establish process capabilityDefine performance objectives

    Identify variation sources

    Tools for analysisl Process Mappingl &Failure Mode Effect Analysis

    l Statistical Testsl Design of Experimentsl Control chartsl Quality Function Deployment

    ( )QFD

    3. Analyse1. Define 2.Measure

    4. Improve 5. Control

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    DMAIC StepsDMAIC Steps4. Improve4. Improve

    Screen potential causes

    Discover variable relationships among causes and

    effectsEstablish operating tolerances

    Pursue a method to resolve and ultimately eliminateproblems. It is also a phase to explore the solution howto change, fix and modify the process.

    Carryout a trial run for a planned period of time toensure the revisions and improvements implementedin the process result in achieving the targeted values.

    4.

    Improve

    1. Define

    2.

    Measure

    3.

    Analyse

    5.

    Control

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    DMAIC StepsDMAIC Steps5. Control5. Control

    Monitor the improved process continuously toensure long term sustainability of the newdevelopments.

    Share the lessons learnt

    Document the results and accomplishments ofall the improvement activities for futurereference.

    5. Control1. Define 2. Measure 3. Analyse 4. Improve

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    An example:The cycle time of a distribution company, from

    customer order to customer delivery should notexceed 3 days (contractual terms & conditions)

    Customers complain delays; competitors arebetter: they never exceed 3 days

    Management says We are loosing money

    Team in place says We dispatch on average the

    same day we receive the order and we alwaysuse a 24 hours delivery carrier

    6 sigma Basics6 sigma Basics

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    6 sigma steps (DMAIC)6 sigma steps (DMAIC)

    DDefine the business problem

    MMeasure the process (Y) performance

    Find the root causes (Xs) of the problem (AAnalyse)

    IImprove, iimplement new solution

    Deliver (Y) performance over time (Control)

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    12/28/2010 Brain Gain/BSG _ Six Sigma 18

    process as felt by the customer

    eceiptforderromCustomerInputOrder

    Outputnit delivery

    u p p l i e r=yC o m p a n y

    yC u s t o m er

    DefinitionpecificationPerformanceTargets*TQ ead time days . %

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    MeasureMeasure

    Measurethe :problem and defects( )Lead time distribution

    ime fromrder to deliveryn days

    No ofoccurrences

    0

    defectefects

    /ontractual CustomerSpecificationLimit

    3 days

    10

    1 day 2 days

    50

    Histogram

    bservedprobabilityf=efects . %2 03/26 216

    Variation

    Trend

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    Measure conclusionMeasure conclusion . %!observed a probability of defect of 12 03

    . ( ) !performance is 2 67 Z value We have a problem . %6 sigma goal is to reach 0 00034 of probability of!defect

    value*

    2

    3

    4

    5

    6

    Defects per million ofopportunities

    308537

    66807

    6210

    233

    3.4

    % defects

    30.8537%

    6.6807%

    0.6210%

    0.0233%

    0.00034%

    12.03%2.67

    *For short term data

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    12/28/2010 Brain Gain/BSG _ Six Sigma 21

    AnalyzeAnalyzenalysis finding the root causes

    ( )!Xs> Pareto chart of the 26 defects

    iss 3pmcarrieforoutsidePuneregion

    =0 %7

    Incompleteshippingaddress

    4= 15%

    Other2= 8%

    > %2 causes represent 92 of defects

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    ImproveImprove

    actionstaken :> Process

    OutsidePune region

    orders first& organizean earlier

    transfer toshipping

    department> Change address

    format andcontrol atorder taking

    time ime fromrder to deliveryn days

    no ofoccurences

    0

    defects

    /ontractual CustomerSpecificationLimit

    3 days

    10

    1 day 2 days

    50

    Histogram

    bserved probability=f defects %xpected performance:6 is between

    .and the spec limit andthe distribution is

    !normal

    6x

    ew Cycle time from order to delivery dist

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    ControlControlelivery time performance for the year

    Month

    DeliveryP99indays

    121110987654321

    3,4

    3,2

    3,0

    2,8

    2,6

    2,4

    2,2

    2,0

    3 days

    Control chart of Delivery P99 over one year

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    6 sigma financial impact6 sigma financial impact

    40%

    35%

    30%

    20%

    15%

    10%

    5%

    .4 233 6210 66807 308537 500000 5 4 3 2

    Rs.!!

    /Business Case : .Sales Rs 10 every unit : %Operating margin 25 : .Every defect costs Rs 24 .t 2 67 oss was 38 paisaor every sale

    =DPMO Defective per Million Opportunities

    i x S i g m aR o u t e

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    Six Sigma business contributionSix Sigma business contribution

    Contribution to growth through:Customer satisfaction increase

    Introduction of quality products &services

    Productivity gains:

    Product quality improvementHigher service performanceProcess efficiency