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1 Six Sigma for Chemical Engineers George Liebermann Senior Engineering Fellow / Black Belt Xerox Research Centre of Canada AIChE Webinar July 8, 2009 [email protected]

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  • 1Six Sigma for Chemical Engineers

    George Liebermann

    Senior Engineering Fellow / Black Belt

    Xerox Research Centre of Canada

    AIChE WebinarJuly 8, 2009

    [email protected]

  • 2Outline

    1. Six Sigma Methodologies Overview

    Six Sigma and Lean Six Sigma

    Design for Six Sigma

    2. Six Sigma / DMAIC

    3. Implementing Six Sigma in Chemical Industry

    4. Six Sigma Tool Box for Chemical Engineers

    5. Summary

  • 3Six Sigma for Chemical Engineers

    Six Sigma methodologies are normally implemented by companies via training by consultancies and a company-wide organization is

    usually put in place for implementation and continuous practice

    There is a large body of literature: books as well as internet sites that provide information at various levels

    The goal of this short course is to provide an introduction to

    Six Sigma:

    - mainly for practicing chemical engineer and

    - a guide to use the most relevant tools for chemical

    engineering applications

  • 4 The Greek symbol Sigma which means standard deviation; a measure of variation

    As Sigma (, s) gets smaller the error in predicting the result gets smaller

    = Standard Deviation

    A statistical measure of a processs ability to meet customer requirements (CTQs)

    Process Six Sigma equates to 3.4 defects per million opportunities or a Cpk =2

    = Measure of Process

    Capability

    Standard Deviation and Process Capability

    Yield DPMO Sigma

    69.2% 308,000 2

    93.3% 66,800 3

    99.4% 6,210 4

    99.977% 230 5

    99.99966% 3.4 6

    Yield DPMO Sigma

    Cpk = ~1.33

    Cpk = 2

    Six Sigma Methodologies Overview

    LSLxor

    xUSLMinC pk

    33

    -6 -3 -2 -1 x +1 +2 +3 +6

    2

    1

    1

    )

    n

    ii

    n

    xx2

    1(

    i 2

    1

    1

    )

    n

    ii

    n

    xx2

    1(

    i

    Sigma Percent

    +/-1 sigma 68.27

    +/-2 sigma 95.45

    +/-3 sigma 99.73

  • 5Six Sigma Methodology

    Evolved from TQM methods, procedures to reduce defects, statistics

    Structured methodology for product and process improvement / optimization and problem solving

    Key features:

    Customer requirements: specifications

    Process thinking: understand the process

    Data driven: reduction of variations, statistics, statistical process control

    Structured approach: defined phases (roadmap), checkpoints

    Tool box: tools to select from

    Generally: - top down (management championing),

    - projects lead by trained Six Sigma Green Belts and Black Belts

    - team approach

    Standard Six Sigma methodology is based on a 5 phase roadmap:

    DMAICDefineDefine MeasureMeasureMeasureMeasure AnalyzeAnalyzeAnalyzeAnalyze ImproveImproveImproveImprove ControlControlControlControl

    Six Sigma Methodologies Overview

  • 6Lean

    Types of Wastes

    Waste of Production

    Waste of Time

    Waste in Transportation

    Waste of Processing

    Waste of Inventory

    Waste of People Movement/Time

    Waste of Product (defective)

    Lean: Methodology with tools/techniques to

    reduce/eliminate the waste in order to reduce cost

    Six Sigma Methodologies Overview

  • 7Lean Six Sigma (LSS):

    Integration of Two Improvement Approaches

    Goal: Less Waste, Higher Speed

    Focus: Identify and Eliminate Waste and Delays

    Method: Team Event/Inspection

    Goal: Improve Performance on Customer Requirements

    Focus: - Eliminate Variation- Optimize output

    Method: - Use of DMAIC & Tools - Use of trained individuals (Black Belts, Green Belts)

    Six SigmaCulture + Quality

    LeanLower Cost

    After

    Before

    BeforeAfter

    Six Sigma Methodologies Overview

    time Parameter (output)

  • 8Design for Six Sigma (DfSS)

    Success of Six Sigma in improvement of existing

    processes/products lead to a search and development

    of a similar methodology for new processes/products

    DFSS (or DfLSS) Alphabet soup

    While Six Sigma/DMAIC is well established, there are several versions of DfLSS methodologies, for example:

    DMEDI Define/Measure/Explore/Develop/Implement

    DMADV - Define/Measure/Analyze/Design/Verify

    IDOV Identify/Design/Optimize/Validate

    ICOV Identify/Characterize/Optimize/Validate

    Six Sigma Methodologies Overview

    DfSS uses many tools used in Six Sigma/DMAIC

    DfSS not discussed in this webinar

  • 9Six SigmaDMAIC Improvement Methodology

    Define

    Measure

    Analyze

    Improve

    Control

    Define the problem or opportunity vs customer requirements

    Search for the key factors (critical Xs) with the biggest impact and determine the root causes

    Measure the process/product performance

    Develop and demonstrate solutions to improve the critical Xs

    Implement and monitor the solution

    Six Sigma / DMAIC

    DefineDefine MeasureMeasureMeasureMeasure AnalyzeAnalyzeAnalyzeAnalyze ImproveImproveImproveImprove ControlControlControlControl

  • 10

    Six SigmaDMAIC Improvement Methodology

    Guidelines for each phase:- Objective- Methodology- Tool box- Review readiness check

    Measurable Objectives agreed upon in the Define phase to be monitored throughout the project

    Six Sigma / DMAIC

    DefineDefine MeasureMeasureMeasureMeasure AnalyzeAnalyzeAnalyzeAnalyze ImproveImproveImproveImprove ControlControlControlControl

    Tollgate (Phase Gate) Reviews after each phase

    Structured, well suitable for chemical engineers

  • 11

    Six Sigma in Chemical Industry

    Six Sigma/DMAIC:

    problem solving / improvement in existing processes and/or products

    Chemical process/product (manufacturing)

    Process demonstration, including pilot plant

    Pilot plant/semi-works interim production

    Technical Support Activities

    - Analytical Methods and Quality Control

    - Maintenance

    - Utilities

    - Others

    Other Processes (work process improvements)

    - Engineering

    - Purchasing

    - Inventory Management and Sales/Marketing

    - Others

    Implementing Six Sigma in Chemical Industry

  • 12

    Six Sigma in Chemical Industry

    Typical Six Sigma opportunities for chemical engineers

    (Chemical) Process/Product Problem Solving Yield Cycle time Product or Intermediate Quality Equipment or Instrumentation/Control Performance

    (Chemical) Process/Product Optimization or Improvement (same as above)

    Off-line Process/Product related Analytical/QC problem solving or improvements Maintenance, Utilities and other support processes Raw Materials

    Implementing Six Sigma in Chemical Industry

  • 13

    Six Sigma

    DMAIC Define Phase Tasks

    1. Define why, what, goal, how, when, who: Charter

    2. Review the process Walk the process

    Supplier-Input-Process-Output-Customer (SIPOC) Map

    Update PFDs, P&IDs High-level Map, Value Stream Map

    3. Review specifications/targets Voice of Customer (VOC) and/or Voice of Business

    Critical Customer Requirements (CCR) key deliveries/results needed

    4. Identify and secure resources (material and personnel)

    5. Sketch out Project Plan/Schedule (eg in Microsoft Project)

    6. Assess expected financial benefit

    Define MeasureMeasureMeasureMeasure AnalyzeAnalyzeAnalyzeAnalyze ImproveImproveImproveImprove ControlControlControlControl

    Six Sigma Tool Box for Chemical Engineers

    Six Sigma terms are in blue and red

    Red items further details

  • 14

    Guidelines for Charter Content

    Project Title Date:

    Project Sponsor: Deployment Manager:

    Stakeholders: Black Belt: Green Belt:

    Business Case/Impact

    Opportunity/Problem Statement

    Goal Statement

    Project Scope

    Project Plan

    Resources

    Why should this be doneWhat is the benefit Does this project align with the business needsWhat is the projected value of the project ($)

    What is the concern and impactWhat is wrong or not working

    Opportunity lost or potential benefit

    Measurable Goal definitionWhat are the deliverables

    How will the project be doneWhat are the boundaries of the project

    What is not within scope

    When will it be doneMajor milestones (tollgates)

    Proposed date of completion

    Who is in the team - roles & responsibilitiesTime allocation

    Expected expense and capital spending

    Normally the Black Belt/Green Belt, with help from team, develops the Charter.

    Six Sigma Tool Box for Chemical Engineers

    WWGHWW

  • 15

    SIPOC

    Supplier-Input-Process-Output-Customer Map

    Process Name: DBPProcess Name: DBP

    Process : Process : Building CBuilding C

    Suppliers Inputs Process Output(s) Customers

    Occidental Chem.

    Vista Chemical Eastman Chemical Penta Manuf.

    Goldschmidt Chem.

    Calgon

    Local Disttributor

    Plant facilities

    Phthalic anhydride

    Butanol

    pTSA

    Activated carbon

    Sodium Hydroxide

    Steam

    Cooling Water

    Vacuum

    Raw Materials Charging

    - Molten PA addition

    Reaction

    - Heat-up, reaction,

    reactor discharge

    Washing steps

    -Neutralization

    -Water washes

    Steam Stripping

    - Continuous distillation

    Act. Carbon Treatment

    and Filtration

    -Treatment

    -Filtration and pump to

    storage

    Dibutyl Phthalate

    Wet butanol

    Aqueous waste

    Internal

    QC Lab Distribution Sales

    External

    Bulk customers Distributors

    Very useful for overall review of process/product. Supports:

    - High-level Process Map (Process Flow Diagram)- Value Stream Map (P&ID or enhanced PFD)

    - Identification of Key Outputs (Ys) and Inputs (Xs) towards Y = f(X)(Cause end Effect info)

    Six Sigma Tool Box for Chemical Engineers

    Problem: Dibutyl Phthalate color is sometimes out of specification

  • 16

    Value Stream Map (VSM)

    Goal:

    Update of all process information required for the project

    Update existing PFD/P&IDs

    Break down process steps, materials quantities and flow

    Record all process steps/times (value-add and non value-add)

    Add all measurement points, samples for QC, etc

    Record all known info/values: process parameters, metrics

    Team check: walk the process

    VSM: An updated/enhanced version of

    Process Flow Diagram (PFD)

    or Process & Instrumentation Diagram (P&ID)

    Six Sigma Tool Box for Chemical Engineers

  • 17

    Six Sigma

    DMAIC Measure Phase Tasks

    1. Review Key Process & Product Parameters

    (Key Input, Process and Output Variables)

    2. Establish what needs to be measured/analyzed and HOW

    (Operational Definitions )

    3. Validate Measurement Methods Measurement System Analysis (MSA)

    4. Data Collection Plan (historical and new)

    5. Collect Data Data Organizing Tools

    6. Baseline (current) Process Capability Analysis

    Define MeasureMeasureMeasure AnalyzeAnalyzeAnalyzeAnalyze ImproveImproveImproveImprove ControlControlControlControlMeasure

    Six Sigma terms are in blue and red

    Red items further detailsSix Sigma Tool Box for Chemical Engineers

  • 18

    Select what to measure

    Key Input, Process and Output Variables

    X1: Raw Materials Quality (x11, x12) Y1: DBP ColorX2: Process Conditions (x21, x22) Y2: DBP PurityX3: Equipment conditions (x31, x32) Y3: Process Cycle Time (cost factor)X4: Individual Process Steps Time (x41, x42)

    Yi= f(X1, X2..)

    Process Name: DBPProcess Name: DBP

    Process : Process : Building CBuilding C

    Suppliers Inputs Process Output(s) Customers

    Occidental Chem.

    Vista Chemical Eastman Chemical Penta Manuf.

    Goldschmidt Chem.

    Calgon

    Local Disttributor

    Plant facilities

    Phthalic anhydride

    Butanol

    pTSA

    Activated carbon

    Sodium Hydroxide

    Steam

    Cooling Water Vacuum

    Raw Materials Charging

    - Molten PA addition

    Reaction

    - Heat-up, reaction,

    reactor discharge

    Washing steps

    -Neutralization

    -Water washes

    Steam Stripping

    - Continuous distillation

    Act. Carbon Treatment

    and Filtration

    -Treatment

    -Filtration and pump to

    storage

    Dibutyl Phthalate

    Wet butanol

    Aqueous waste

    Internal

    QC Lab Distribution Sales

    External

    Bulk customers Distributors

    Input Metrics Process Metrics Output Metrics

    Quality

    Speed

    Cost

    Reaction time Number of washes Stripping steam rate AC treatment and filtration time

    UMC (rework yes/no)

    Phthalic Anhydride

    Melt Color Acid numberButanol

    Color % Assay (GC)pTSA

    % assay

    Weight of raws Reaction temperature Vacuum Acid Number (end of reaction)

    NaOH amount Acid Number (after washes)

    Stripping Temperature, Vacuum

    % Assay (GC) Specific Gravity Color (APHA) Acid Number (mg KOH/g) Flash point (oC)

    Overall process time

    Process Time Rework Time, if any

    Tools for Y and X selection:

    SIPOC,

    Value Stream Map

    Cause and Effect Diagram

    In a chemical engineering project the

    key output (Y) is usually well defined,

    however several secondary Ys may

    need to be addressed

    Six Sigma Tool Box for Chemical Engineers

    Problem:

    Dibutyl Phthalate color

    is sometimes out of spec

  • 19

    Ishikawa Cause & Effect (Fishbone) DiagramTool to Determine Key Input, and Process Variables

    MaterialsProcessEquipment/Facilities

    Procedures/Policies Measurement:

    -

    Effect

    (Y)

    ,

    Potential cause

    People

    Potential cause

    Potential cause

    Potential cause

    Potential causes (Xs)

    Cause Categories

    Potential cause

    Potential cause

    Potential cause Potential cause

    Raw MaterialsSynthesis ConditionsPost-synthesis

    Equipment Color Measurement:

    DBP

    Color

    ,

    Operator

    Lab bias

    APHA/Hazen

    CIELAB

    N2 purging procedure

    Reactor bottom valve

    Reactor seal

    Sources

    Reducing

    Agents

    Decolorizing

    agents

    Neutral. Temp.pTSA color

    PA color

    Inerting procedure

    Inert Gas

    Reaction temperature

    Reaction time

    Reactor

    Discharging

    Temperature

    RM addition

    PA impurities

    Procedures/Execution

    Stripping column

    RM addition

    Butanol Imp.

    Team contribution:

    brainstorming, available info,

    assumptions

    Six Sigma Tool Box for Chemical Engineers

    Problem:

    Dibutyl Phthalate color

    is sometimes out of spec

  • 20

    Validate Measurement Methods - MSA

    Are the measurements methods good enough?

    A Measurement System Analysis (MSA) assesses how much variation is associated with the measurement system and compares it with the process variation (and specifications)

    Main Tool: Gage R&R assesses the percentage measurement variation (repeatability and reproducibility) represents of the variation of the process.

    Gage R&R results:

    Under 10%: Acceptable measurement system.

    10% to 30%: May be acceptable.

    Over 30%: Unacceptable measurement system

    Repeatability same operatorReproducibility different operators

    Software packages like Minitab and JMP have standard MSA (Gage R&R) programs

    Less expensive versions available from Six Sigma Consultancies (Excel based)

    Six Sigma Tool Box for Chemical Engineers

  • 21

    Data Organizing Tools

    Control Charts

    Lots

    Yie

    ld,

    %

    71645750433629221581

    100

    90

    80

    70

    60

    _X=81.42

    UCL=98.70

    LCL=64.14

    Historical yields

    Pareto Charts

    Yield target =90%

    X-bar = 81.4%

    Process in control, but Mean (X-bar)

    for yield significantly under target process is not capable

    0

    10

    20

    30

    40

    50

    60

    Butanol

    impur.

    Butanol

    color

    Time over

    8hr

    pTSA color PA color PA Impur.

    Co

    un

    t

    In Excel:

    Bar (Column) Chart using Sort

    In Minitab

    Ranking based on frequency of occurrenceUpper and Lower Control Limits

    +/- 3 sigma

    Helps select vital few from trivial many 80/20 rule

    For Analyze phase

    Six Sigma Tool Box for Chemical Engineers

  • 22

    Baseline Process Capability Analysis

    Process Capability index - Cp

    Cp =

    Process Capability:

    Voice of the Customer (spec. limits) vs Status of Business (control limits)

    Accepted Variation (Specification)

    Process Variation

    6

    LSL -USLCp

    Clarifies current status and will allow analysis/comparison of future improvements

    LSL USL

    Process Variation - 99.65% of values

    Target

    Cannot be used unless there are both lower (LSL) and upper specification (USL) limits

    If process mean not centered on target results can be misleading

    Cpk is the most common index for process capability

    For cases where both LSL and USL is specified, the smaller Cpk number is reported

    Typical manufacturing goal for Cpk is 1.33 - Sigma Qual. Index (SQL) of 4

    LSLxor

    xUSLMinC pk

    33

    X

    _

    A SQL is equal to a Cpk of 2.0

    6

    Six Sigma Tool Box for Chemical Engineers

  • 23

    Six Sigma

    DMAIC Analyze Phase Tasks

    1. Data and Process Analysis Tool box

    2. Lean Opportunities - Non-Value Added Analysis

    3. Identify most likely causes of the problem - Prioritize Critical Input and Process Variables (Xs) for Y = f(X)

    4. Root Cause Proof/Experimentation

    5. Summary/documentation of cause/effect findings

    Define MeasureMeasureMeasure AnalyzeAnalyzeAnalyzeAnalyze ImproveImproveImproveImprove ControlControlControlControlMeasure Analyze

    Six Sigma terms are in blue and red

    Red items further detailsSix Sigma Tool Box for Chemical Engineers

  • 24

    Data and Process Analysis

    Root Cause Analysis Hypotheses for root causes of problem

    Data: Statistical and other Six Sigma tools

    Descriptive statistics and Data distribution - Excel

    Control charts Excel applications

    Pareto Charts - Excel (column charts sorted)

    Regression Analysis Excel y=f(x) with R2

    Hypothesis Testing (t-test and ANOVA) - Excel

    Six Sigma Tool Box for Chemical Engineers

    Process: Six Sigma tools

    Brainstorming

    Process Maps PFD, P&ID

    Cause and Effect (Fishbone) Diagram

    Failure Mode and Effects Analysis (FMEA)

    Non-Value Added Analysis

  • 25

    Hypothesis Testingstatistical treatment

    : 210 H

    1. 1 sample t-test: Compares sample mean to historical mean or target

    2. 2 sample t-test: Compares means of two samples

    1. One way ANOVA: Compares means of more than two samples

    2. Two way ANOVA: Compares two samples with multiple factors

    Ho - null hypothesis: the mean of a sample/population is equal to.

    Ha - alternative hypothesis: the mean of a sample/population is not equal to.

    e.g. for two equal means the

    difference is zero

    : 21 aH

    nothing changed

    Six Sigma Tool Box for Chemical Engineers

  • 26

    lean tool

    Non-Value Added Analysis

    Identifies Process Steps or Process Time which does not add value to the Process/Product

    Categories:

    Customer Value Added (CVA) meets a customer need

    Business Value Added (BVA) required to be in business

    Non-Value Added (NVA) not required for customer/business needs - waste

    Customer Value Added (CVA)

    customer sees the value, e.g. synthesis, purification

    should be considered for optimization

    Business Value Added (BVA)

    required to complete the process/product, e.g. QC, maintenance, change-over, transfers

    should be optimized and reduced

    Non-Value Added (NVA)

    not required, waste in the process, e.g. rework, storage/inventory, holding/delays, extra process time

    should be eliminated

    Six Sigma Tool Box for Chemical Engineers

  • 27

    Experimentation for Proof of Cause-Effect

    Experimentation to prove hypothesis:

    Confirm information from analysis of existing data

    preferably in lab or pilot plant, sometimes at manufacturing scale

    Experimentation

    one factor at a time (OFAT)

    design of experiments - DOE (designed experimentation)

    Design of Experiments The variation of controllable factors(independent variables, Inputs, Xs) at different levels in order to assess their effect on the response (dependent variable, Output, Ys)

    Six Sigma Tool Box for Chemical Engineers

  • 28

    Six Sigma

    6. DMAIC Improve Phase Tasks

    1. Generate/Develop Potential Solution(s)

    2. Establish Evaluation Criteria Quality, Cost, Delivery, Safety

    3. Select Best Solution(s) Pair-wise Comparison, Pugh Matrix

    4. Risk Assessment Failure Modes and Effects Analysis (FMEA)

    5. Pilot/Demonstrate Solution

    Define MeasureMeasureMeasure AnalyzeAnalyzeAnalyzeAnalyze ImproveImproveImproveImprove ControlControlControlControlMeasure Improve

    Six Sigma terms are in blue and red

    Red items further detailsSix Sigma Tool Box for Chemical Engineers

  • 29

    Pair-wise Comparison/Ranking:

    Pairwise Comparison Example

    Distillation Yield Improvement

    Solution Ranking/Preference

    Replace all valves 1 1 1 1 4

    Install blanks 1 1 1 3

    Change Control Program 0

    Install check valves 1 1 2

    Replace Column 1 1

    Compare Solutions in

    Pairs

    Solution Selection Tools

    Pugh Matrix:

    1. List Requirements/Evaluation

    Criteria

    2. Assign Weight to each Evaluation

    Criteria

    3. List Solutions to be assessed

    (< 8-10)

    4. Current process is the Baseline

    5. Fill in Pugh Matrix

    6. Rate Solutions vs baseline:

    +, 0, -, or ++, +, 0, -, --

    7. Compute

    8. Compare Totals (Pareto)

    9. Select solution

    Evaluation Criteria (VOC/VOB)

    Quality, Cost, Delivery

    Total

    Weight

    (Importance

    Ranking)

    (1-5)

    Solution 4

    Pugh Matrix - Which solution is the best

    Baseline

    (Current

    process)

    Solution 1 Solution 2 Solution 3

    Solutions

    Six Sigma Tool Box for Chemical Engineers

  • 30

    Failure Modes and Effects Analysis (FMEA)

    Proposed

    Solution/Change

    Potential

    Failure Mode

    Potential Failure

    Effects

    Potential

    Causes

    Current

    Controls

    R

    P

    N

    Actions

    Recommended

    Resp.

    Description of

    change as per

    proposed

    solution

    Negative

    Impact,

    Failure, or

    Error

    Impact on

    Output

    Variables

    (identified risk

    items )

    What could

    cause the

    problem

    Existing

    controls and

    procedures

    To avoid/reduce

    occurrence

    and/or improve

    detection

    S

    E

    V

    E

    R

    I

    T

    Y

    O

    C

    C

    U

    R

    A

    N

    C

    E

    D

    E

    T

    E

    C

    T

    I

    O

    N

    Process / Product FMEA in Improve

    Rating Scale:

    1 not severe, not likely to occur, likely to detect, to10 very severe, very likely to occur, not likely to detect

    Severity - Importance of the effect on customer requirements.

    Occurrence - Frequency (or probability that it will occur).

    Detection - The ability of current controls to detect, before or after occurrence

    In Improve:

    List of Proposed Changes

    Recommended Actions if

    problem occurs

    Responsibility

    Six Sigma Tool Box for Chemical Engineers

  • 31

    Pilot/Demonstrate Solution

    Performed on a small scale (equipment or time)

    Confirms with data the expected improvements

    Reduces risk of failure, exposes issues

    Will make the full scale implementation more effective

    Compare results with baseline Process/Product

    Tools:

    Descriptive statistics, histograms

    2 sample t-test compare mean of Improve results vs baseline

    ANOVA (ANalysis Of Variance) compare mean of Improve results vs 2 or more baseline set of results

    Process capability (Cpk) vs baseline

    Six Sigma Tool Box for Chemical Engineers

  • 32

    Six Sigma

    7. DMAIC Control Phase Tasks

    1. Modify/Develop Standard Operating Procedures (SOP)

    2. Develop a Control Plan

    3. Implement Process Changes and Controls

    4. Perform and Monitor the Improved Process

    5. Transition Project to Process Owner

    6. Recalculate Expected Financial Benefits

    Define MeasureMeasureMeasure AnalyzeAnalyzeAnalyzeAnalyze ImproveImproveImproveImprove ControlControlControlControlMeasure Control

    Beyond Control Phase: sustain the improved results

    Six Sigma terms are in blue

    Six Sigma Tool Box for Chemical Engineers

  • 33

    Control Plan

    Measurements: What to measure, Measurement Methods

    Sampling Plan

    Control Plan Tools:

    comparison to data prior to improvement

    - control charts

    - process capability (Cpk, Sigma Quality Level)

    - (2 sample t-test)

    - risk management

    - mistake-proofing: redundancies

    Control Plan Documents

    Six Sigma Tool Box for Chemical Engineers

  • 34

    Six Sigma and Chemical Engineers

    Chemical industry and chemical engineering are data driven, very well suited for applying Six Sigma

    Apply the tools creatively, where and when deemed to help, and in conjunction with sound technical judgment

    Normally Six Sigma is a corporate/organization wide initiative- management driven, training

    Do other options exist ?Projects may be conducted according to Six Sigma methodology without having a formal Black Belt or Green Belt project or full training

    Not that complex use of phase methodology and associated tool box

  • 35

  • 36

    Select Six Sigma Websites

    iSix Sigma - http://www.isixsigma.com

    Soc. of Manuf. Engineers - http://www.sme.org/sixsigma

    Six Sigma.us - http://www.6sigma.us

    Knowware International - http://www.qimacros.com/index.html

    Aveta - http://www.sixsigmaonline.org/index.html

    Pyzdek Institute - http://www.pyzdek.com

    Many others

  • 37

    Select Six Sigma Books

    Six Sigma Demystified A Self-Teaching Guide by Paul Keller, 2005 ISBN: 007144544-7

    Lean Six Sigma Demystified A Self-Teaching Guide by Jay Arthur, 2006 ISBN: 007148650X

    The Six Sigma Handbook: The Complete Guide for Greenbelts, Blackbelts, and Managers at All Levels, Revised and Expanded Editionby Thomas Pyzdek, 2003 ISBN: 0071410155

    The Lean Six Sigma Pocket Toolbook: A Quick Reference Guide to 100 Tools for Improving Quality and Speedby Michael L. George, John Maxey, David T. Rowlands, Mark Price2004 - ISBN: 0071441190

    Six Sigma for Dummiesby Craig Gygi, Neil DeCarlo, Bruce Williams2005 - ISBN: 0764567985

  • 38

    Descriptive Statistics (mean, standard deviation, variance, median, confidence intervals)

    Histograms

    Run Charts

    Control Charts

    Scatter Plots

    Bar Charts

    Gage R&R (MSA)

    Cp & Cpk

    Pareto Chart

    Box plots

    Design of Experiments (DOE)

    Regression Analysis

    Analysis of Variance (ANOVA)

    Main Effects Plots

    Interaction Plots

    Hypothesis Testing (e.g. t-test)

    Response Surface Methodology

    Six Sigma Statistical Tools

  • 39

    Basic Six Sigma ToolsHost of Tools That Can Be Used When Relevant Tool Box

    Statistical Tools

    SIPOC

    Process Mapping

    Value Analysis

    Brainstorming

    Quality Function Development (QFD HOQ)

    Fishbone Diagram

    Operational Definitions

    Measuring System Analysis (MSA)

    Affinity Diagrams

    Interrelationship Diagraphs

    Force Field Analysis

    Tree Diagrams

    Cause & Effect Matrix

    Failure Mode and Effects Analysis

    Piloting

    Standard Operating Procedure (SOP)

    Control Plan