unit iv - maintenance, system reliability & tqm

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    UNIT - IV

    SEMESTER - II

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    Strategic Importance of

    Maintenance and Reliability

    Failure has far reaching effects on a firms

    Operation

    Reputation

    Profitability

    Dissatisfied customers

    Idle employees

    Profits becoming losses

    Reduced value of investment in plant andequipment

    Equipment Malfunctions have a directimpact on:

    Production capacity

    Production costs

    Product and service quality

    Employee or customer safety

    Customer satisfaction

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    Maintenance and Reliability Objective:

    To maintain the capability of the system while controlling costs

    Maintenance is all activities involved in keeping a systems equipment in working order

    Reliability is the probability that a machine will function properly for a specified time

    Important Tactics

    Maintenance

    1. Implementing or improvingpreventive maintenance

    2. Increasing repair capability or speed

    3. Measured by MTTR (Mean Time toRepair)

    Reliability

    1. Improving individual components

    2. Providing redundancy

    3. Measured by MTBF (Mean Time

    Between Failures)

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    Approaches to Improving

    Machine Reliability

    Overdesign - enhancing the machine

    design to avoid a particular type of

    failure

    Design simplification - reducing thenumber of interacting parts in a machine

    Redundant components - building

    backup components right into the

    machine so that if one part fails, itsautomatically substituted

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    Rs

    R3

    .99

    R2

    .80

    Reliability Example

    R1

    .90

    Reliability of the process is

    Rs= R1 x R2 x R3 = .90 x .80 x .99 = .713 or 71.3%

    where R1 = reliability of component 1

    R2 = reliability of component 2

    and so on

    Rs= R1 x R2 x R3 x xRn

    Improving individual components

    Reliability

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    Overall System Reliability

    Reliabilityofthesystem(percent)

    Average reliability of each component (percent)

    | | | | | | | | |

    100 99 98 97 96

    100

    80

    60

    40

    20

    0

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    Product Failure Rate (FR)

    Basic unit of measure for reliability

    FR(%) = x100%Number of failuresNumber of units tested

    FR(N) =Number of failures

    Number of unit-hours of operating time

    Mean time between failures

    MTBF =1

    FR(N)

    Providing Redundancy

    Provide backup components to increase reliability

    + xProbability of

    first componentworking

    Probability ofneeding second

    component

    Probability ofsecond

    component

    working

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    How Maintenance is Performed

    OperatorMaintenancedepartment

    Manufacturers field

    serviceDepot service

    (return equipment)

    Preventivemaintenance costs less andis faster the more we move to the left

    Competence is higher as wemove to the right

    Maintenance Two types of maintenance

    1. Preventive maintenance routine inspection and servicing to keep facilities ingood repair

    2. Breakdown maintenance emergency or priority repairs on failed equipment

    Implementing Preventive Maintenance

    Need to know when a system requires service or is likely to fail

    High initial failure rates are known as infant mortality

    Good reporting and record keeping can aid the decision on when preventivemaintenance should be performed

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    Maintenance Activities

    Repairs

    Repair activities are reactive.

    Breakdowns and malfunctions typically occur when equipment is inuse.

    Standby machines and parts can speed repairs.

    Preventive Maintenance (PM)

    Regularly scheduled inspections are performed.

    PM activities are performed before equipment fails.

    PM is usually performed during idle periods.

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    Maintenance Strategy

    Employee Involvement

    Information sharing

    Skill training

    Reward system

    Employee empowerment

    Maintenance and Reliability Procedures

    Clean and lubricate

    Monitor and adjust

    Make minor repair

    Keep computerized records

    Results

    Reduced inventory

    Improved quality

    Improved capacity

    Reputation for quality

    Continuous improvement

    Reduced variability

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    Computerized Maintenance System

    Output Reports

    Inventory andpurchasing reports

    Equipment

    parts list

    Equipmenthistory reports

    Cost analysis(Actual vs. standard)

    Work orders

    Preventivemaintenance

    Scheduleddowntime

    Emergencymaintenance

    Data entry Work requests

    Purchaserequests Time reporting Contract work

    Data Files

    Personnel datawith skills,wages, etc.

    Equipment filewith parts list

    Maintenanceand work order

    schedule

    Inventory ofspare parts

    Repairhistory file

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    Totalcosts

    Breakdownmaintenance

    costs

    Costs

    Maintenance commitment

    Traditional View

    Preventivemaintenancecosts

    Optimal point (lowestcost maintenance policy)

    Maintenance Costs

    To balance preventive and breakdown maintenance costs

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    How Speedy Should Repairs Be?

    Cost ($)

    Speed of Making Repairs

    0

    Minimum

    Total Cost

    of Repairs

    Cost of RepairCrews & Shops,Spare Parts, and

    Standby Machines

    Cost ofInterruptions toProduction

    Total Costsof Repairs

    Slow Fast

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    Increasing Repair Capabilities1. Well-trained personnel

    2. Adequate resources

    3. Ability to establish repair plan and priorities

    4. Ability and authority to do material planning

    5. Ability to identify the cause of breakdowns

    6. Ability to design ways to extend MTBF

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    Establishing Maintenance Policies Simulation

    Computer analysis of complex situations

    Model maintenance programs before they are implemented

    Physical models can also be used

    Expert systems

    Computers help users identify problems and select course of action

    Total Productive Maintenance (TPM)

    Designing machines that are reliable, easy to operate, and easy to maintain

    Emphasizing total cost of ownership when purchasing machines, so that service andmaintenance are included in the cost

    Developing preventive maintenance plans that utilize the best practices ofoperators, maintenance departments, and depot service

    Training workers to operate and maintain their own machines

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    Secondary Maintenance Responsibilities

    Housekeeping, grounds keeping

    New construction, remodeling

    Painting

    Security, loss prevention

    Pollution control

    Waste recycling

    Safety equipment maintenance

    Public hazard control

    Trends in Maintenance

    Production machinery is becoming more and more complex and maintenancepersonnel must keep pace

    Special training programs to maintain worker skill level

    Subcontracting service companies

    Production workers maintain own equipment

    Computer assistance in maintenance

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    Computer Assistance in Maintenance

    Scheduling maintenance projects

    Maintenance cost reports by production department, cost category, and other

    classifications Inventory status reports for maintenance parts and supplies

    Parts failure data

    Operations analysis studies

    Maintenance Issues in Service Organizations Maintenance issues are not limited to manufacturing

    Transportation firms (airlines, trucking companies, package delivery services,

    railroads) must keep their vehicles in top operating condition

    Highway departments must maintain roadways

    Office personnel are reliant on copiers, printers, computers, and fax machines

    working properly

    As services become increasingly automated, service firms face more and more

    maintenance issues

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    Determinants of Quality

    Service

    Ease of

    use

    Conforms

    to design

    Design

    Quality is fitness for use

    (Joseph Juran)

    Quality is conformance to requirements

    (Philip B. Crosby)

    What is quality?

    Quality, simplistically, means that a product should meet its specification.

    Quality is the ability of a product or service to consistently meet or exceed customer

    expectations.

    At a Time and over a period of time.

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    Quality management activities Quality assurance

    Establish organisational procedures and standards for quality.

    Quality planning

    Select applicable procedures and standards for a particular project and modifythese as required.

    Quality control

    Ensure that procedures and standards are followed by the softwaredevelopment team.

    Dimensions of Quality

    Performance - main characteristics of the product/service

    Aesthetics - appearance, feel, smell, taste

    Special Features - extra characteristics

    Conformance - how well product/service conforms to customers expectations

    Reliability - consistency of performance

    Durability - useful life of the product/service

    Perceived Quality - indirect evaluation of quality (e.g. reputation)

    Serviceability - service after sale

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    Service Quality

    Tangibles

    Convenience

    Reliability

    Dimension Examples

    1. Tangibles Were the facilities clean, personnel neat?2. Convenience Was the service center conveniently located?

    3. Reliability Was the problem fixed?

    4. Responsiveness Were customer service personnel willing and able to

    answer questions?

    5. Time How long did the customer wait?

    6. Assurance Did the customer service personnel seem

    knowledgeable about the repair?

    7. Courtesy Were customer service personnel and the cashier

    friendly and courteous?

    Responsiveness

    Time

    Assurance

    Courtesy

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    The Consequences of Poor

    Quality

    Loss of business

    Liability

    Productivity

    Costs

    Top management

    Design

    Procurement

    Production/operations

    Quality assurance

    Packaging andshipping

    Marketing and sales

    Customer service

    Responsibility for Quality

    Quality plan structure

    Product introduction;

    Product plans;

    Process descriptions;

    Quality goals;

    Risks and risk management.

    Quality plans should be short, succinct

    documents

    If they are too long, no-one will read

    them.

    Quality plans

    Quality reviews A group of people carefully examine part or all of a

    software system and its associated documentation.

    Code, designs, specifications, test plans, standards, etc.

    can all be reviewed.

    Software or documents may be 'signed off' at a review

    which signifies that progress to the next development

    stage has been approved by management.

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    Costs of Quality Failure Costs - costs incurred by defective parts/products or faulty services.

    Internal Failure Costs Costs incurred to fix problems that are detected before the product/service

    is delivered to the customer.

    External Failure Costs

    All costs incurred to fix problems that are detected after theproduct/service is delivered to the customer.

    Appraisal Costs

    Costs of activities designed to ensure quality or uncover defects

    Prevention Costs

    All TQ training, TQ planning, customer assessment, process control, and

    quality improvement costs to prevent defects from occurring

    1924 - Statistical process control charts

    1930 - Tables for acceptance sampling

    1940s - Statistical sampling techniques

    1950s - Quality assurance/TQC

    1960s - Zero defects

    1970s - Quality assurance in services

    Evolution of

    Quality Management

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    Cost of Poor Quality Category Examples

    Failure Costs Internal Prevention Costs

    Re-shipping Quality Administration

    Unnecessary Travel Time Quality Planning

    Re-picking/Picking Quality Systems Design

    Unpacking/Storing Returns Calibration and MaintenanceRe-order Time Production/Inspection Equipment

    Crediting Time Vendor Assessment

    Quality Training

    Failure Costs External Appraisal Costs

    Loss of Sales Incoming Test and Inspection

    Complaints In-Process Inspection

    Returns Final Inspection

    Warranty Claims Sampling Procedures

    Quality Audits

    Costs of Quality

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    Standards are the key to effective quality management.

    They may be international, national, organizational or project standards.

    Product standards define characteristics that all components should exhibit e.g. acommon programming style.

    Process standards define how the software process should be enacted.

    Quality assurance and standards

    Encapsulation of best practice- avoids repetition of past mistakes. Framework for quality assurance processes - they involve checking compliance to

    standards.

    Provides continuity - new staff can understand the organisation by understandingthe standards that are used.

    Importance of standards

    They may not be seen as relevant and up-to-date by software engineers.

    They often involve too much bureaucratic form filling.

    If they are unsupported by software tools, tedious manual work is often involved to

    maintain the documentation associated with the standards.

    Problems with standards

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    Malcolm Baldrige National Quality Award

    1.0 Leadership (125 points)

    2.0 Strategic Planning (85 points)

    3.0 Customer and Market Focus (85 points)

    4.0 Information and Analysis (85 points)

    5.0 Human Resource Focus (85 points)

    6.0 Process Management (85 points)

    7.0 Business Results (450 points)

    The Deming Prize

    Honoring W. Edwards Deming

    Japans highly coveted award

    Main focus on statistical quality

    control

    Continuous ImprovementPhilosophy that seeks to make never-ending improvements to the process of convertinginputs into outputs.

    Kaizen: Japanese

    word for continuous improvement.

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    International Organization for Standardization (ISO) - mission is to promote the

    development of standardized products to facilitate trade and cooperation across

    national borders.

    Representatives from more than 146 nations.

    ISO 9000 series of standards sets requirements for quality processes.

    Nearly half a million ISO 9000 certificates have been awarded to companies around

    the world.

    ISO 14000 series also sets standards for operations that minimize harm to the

    environment.

    Standards

    http://www.iso.org/iso/en/iso9000-14000/index.htmlhttp://www.iso.org/iso/en/iso9000-14000/index.htmlhttp://www.iso.org/iso/en/iso9000-14000/index.html
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    ISO Standards ISO 9000

    Set of international standards on quality management and quality assurance,critical to international business

    Series of standards agreed upon by the International Organization forStandardization(ISO)

    Adopted in 1987

    More than 100 countries

    A prerequisite for global competition

    ISO 9000 directs you to:

    document what you do and then do as you documented.

    9001

    Model for Quality Assurance in Design, Production Installation, and Servicing.

    9002

    Model for Quality Assurance in Production and Installation

    9003

    Model for Quality Assurance in Final Inspection Test

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    ISO Standards ISO 14000

    A set of international standards for assessing a companys environmental

    performance

    Standards in three major areas

    Management systems

    Operations

    Environmental systems

    Particularly important - documents are the tangible manifestation of the software.

    Documentation process standards

    Concerned with how documents should be developed, validated and maintained.

    Document standards

    Concerned with document contents, structure, and appearance.

    Document interchange standards

    Concerned with the compatibility of electronic documents.

    Documentation standards

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    Documentation process

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    This involves checking the software development process to ensure that procedures

    and standards are being followed.

    There are two approaches to quality control

    1. Quality reviews;

    2. Automated software assessment and software measurement.

    Total Quality Management

    A philosophy that involves everyone in an organization in a continual

    effort to improve quality and achieve customer satisfaction.

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    What is TQM?

    Constant drive for

    continuous

    improvement and

    learning.

    Concern foremployee

    involvement and

    development

    Management by

    Fact

    Result Focus

    Passion to deliver

    customer value /

    excellence

    Organisation

    response ability

    Actions not just words

    (implementation)Process

    Management

    Partnership

    perspective

    (internal /

    external)

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    Learning

    LEARNING AND TQM

    Process Improvement

    Quality Improvement

    Customer

    SatisfactionShareholder

    Satisfaction

    Employee

    Satisfaction

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    BASIC PRINCIPLES OF TQM

    Approach Management Led

    Scope Company Wide

    Scale Everyone is responsible for Quality

    Philosophy Prevention not Detection

    Standard Right First Time

    Control Cost of Quality

    Theme On going Improvement

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    QC Throughout Production Systems

    Raw Materials,Parts, and

    Supplies

    ProductionProcesses

    Products andServices

    Inputs Conversion Outputs

    Control Chartsand

    Acceptance Tests

    Control Chartsand

    Acceptance TestsControl Charts

    Quality ofInputs

    Quality ofOutputs

    Quality ofPartially Completed

    Products

    Throughput:

    Output relative to input; the amount passing through a system from input to output over a

    period of time

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    1. Find out what the customer wants

    2. Design a product or service that meets or exceeds customer wants

    3. Design processes that facilitates doing the job right the first time

    4. Keep track of results

    5. Extend these concepts to suppliers

    The TQM Approach

    1. Continual improvement

    2. Competitive benchmarking

    3. Employee empowerment

    4. Team approach

    5. Decisions based on facts6. Knowledge of tools

    7. Supplier quality

    8. Champion

    9. Quality at the source

    10. Suppliers

    Elements of TQM

    1. Management Support

    2. Mission Statement

    3. Proper Planning

    4. Customer and Bottom Line Focus

    5. Measurement

    6. Empowerment

    7. Teamwork/Effective Meetings

    8. Continuous Process Improvement

    9. Dedicated Resources

    Elements for Success

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    A good or service free of deficiencies.

    Poor quality can account for 20% loss in revenue.

    Benchmarking is the process of analyzing other firms best practices.

    Quality control is measuring goods and services against established quality standards.

    Many companies evaluate quality using the Six Sigma concept.

    A company tries to make error-free products 99.9997% of the time, a tiny 3.4

    errors per million opportunities.

    Importance of Quality

    Correlation

    matrix

    Design

    requirements

    Customer

    require-

    ments

    Competitive

    assessmentRelationship

    matrix

    Specificationsor

    target values

    http://www.motorola.com/content.jsp?globalObjectId=3079http://www.motorola.com/content.jsp?globalObjectId=3079
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    Measurement

    Muem

    Muem

    Measurement

    Empowerment/Shared Leadership

    ProcessImprovement/

    ProblemSolving

    TeamManagement

    CustomerSatisfactio

    nBusinessResults

    The Continuous Improvement Process

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    Modern History of Quality Management Frederick W. Taylor wrote Principles of Scientific Management in

    1911.

    Walter A. Shewhart used statistics in quality control and inspection,and showed that productivity improves when variation is reduced(1924); wrote Economic Control of Manufactured Product in 1931.

    W. Edwards Deming and Joseph M. Juran, students of Shewhart,

    went to Japan in 1950; began transformation from shoddy toworld class goods.

    In 1960, Dr. K. Ishikawa formalized quality circles - the use of smallgroups to eliminate variation and improve processes.

    In the late 70s and early 80s:

    Deming returned from Japan to write Out of the Crisis,

    and began his famous 4-day seminars in the United States

    Phil Crosby wrote Quality is Free

    NBC ran If Japan can do it, why cant we?

    Motorola began 6 Sigma

    Hi t f Q lit M t

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    History of Quality ManagementDemings Concept of Profound Knowledge

    Understanding (and appreciation) of Systems

    - optimizing sub-systems sub-optimizes the total system

    - the majority of defects come from systems, the responsibility

    of

    management (e.g., machines not in good order, defective material,

    etc.

    Knowledge of Statistics (variation, capability, uncertainty in data,

    etc.)

    - to identify where problems are, and point managers and

    workers

    toward solutions

    Knowledge of Psychology (Motivation)

    - people are afraid of failing and not being recognized,

    so they fear how data will be used against them

    Theory of Knowledge

    - understanding that management in any form is a prediction,

    and is based on assumptions

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    Demings 14 Points

    1. Create constancy of purpose for improvement2. Adopt a new philosophy

    3. Cease dependence on mass inspection

    4. Do not award business on price alone

    5. Work continually on the system of production and

    service6. Institute modern methods of training

    7. Institute modern methods of supervision of workers

    8. Drive out fear

    9. Break down barriers between departments

    10. Eliminate slogans, exhortations, and targets for thework force

    11. Eliminate numerical quotas

    12. Remove barriers preventing pride of workmanship

    13. Institute a vigorous program of education and retraining

    14. Take action to accomplish the transformation

    History of Quality Management

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    What is Six Sigma?

    Statistically

    Having not more than 3.4 defects per million

    Conceptually

    Program designed to reduce defects

    Requires the use of certain tools and techniques

    A goal of near perfection in meeting customer requirements

    A sweeping culture change effort to position a company for greater customer

    satisfaction, profitability and competitiveness A comprehensive and flexible system for achieving, sustaining and maximizing

    business success; uniquely driven by close understanding of customer needs,

    disciplined use of facts, data, and statistical analysis, and diligent attention to

    managing, improving and reinventing business processes

    Si Si I t M th d

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    Six Sigma Improvement MethodsDMAIC vs. DMADV

    Define

    Measure

    Analyze

    Design

    Verify

    Improve

    Control

    Continuous Improvement Reengineering

    Six Sigma Programs

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    Six Sigma Programs

    Six Sigma programs

    Improve quality

    Save time

    Cut costs

    Employed in

    Design

    Production

    Service

    Inventory management

    Delivery

    Providing strong leadership

    Defining performance merits

    Selecting projects likely to succeed

    Selecting and training appropriate people

    Six Sigma Management

    Six Sigma Technical

    Improving process performance

    Reducing variation

    Utilizing statistical models

    Designing a structured improvement strategy

    Six Sigma Team

    Top management

    Program champions

    Master black belts

    Black belts

    Green belts

    Ob t l t I l ti TQM

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    Lack of:

    Company-wide definition of quality

    Strategic plan for change

    Customer focus

    Real employee empowerment

    Strong strong motivation

    Time to devote to quality initiatives

    Leadership

    Poor inter-organizational communication

    View of quality as a quick fix

    Emphasis on short-term financial results

    Internal political and turf wars

    Obstacles to Implementing TQM

    Basic Steps in Problem

    Solving

    Define the problem andestablish an improvement goal

    Collect data

    Analyze the problem

    Generate potential solutions Choose a solution

    Implement the solution

    Monitor the solution to see if itaccomplishes the goal

    Process Improvement

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    Process Improvement: A systematic approach to improving a process

    1. Process mapping

    2. Analyze the process3. Redesign the process

    Process Improvement

    Process improvement - a systematic approach to improving a process Process mapping

    Analyze the process

    Redesign the process

    Tools

    There are a number of tools that can be used for problem solving and processimprovement

    Tools aid in data collection and interpretation, and provide the basis for decisionmaking

    Process Improvement and Tools

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    PLAN

    CHECK

    DOACT

    The Deming Cycle or PDCA Cycle

    Plan a change to the process. Predict the effect this

    change will have and plan how the effects will be

    measured

    Implement the change on a small

    scale and measure the effectsAdopt the change as a

    permanent modification to

    the process, or abandon it.

    Study the results to learn what

    effect the change had, if any.

    Quality Management Process

    h l

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    The Process Improvement Cycle

    Implement the

    Improved process

    Select a

    process

    Study/document

    Seek ways to

    Improve it

    Design an

    Improved process

    Evaluate

    Document

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    Basic Quality Tools

    Flowcharts Check sheets

    Histograms

    Pareto Charts

    Scatter diagrams

    Control charts

    Cause-and-effect diagrams

    Run charts

    Flow Chart Example:

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    Flow Chart Example:Self-Serve Gas Before Improvement

    Drive incheck price

    self serve?to pump

    shut offengine

    walk to paystation

    yes

    no

    check card transmit approved? turn on

    pump

    yes

    no

    back

    to car

    pump

    gas walk tobooth

    wait

    employee

    totals

    charges

    check

    accuracy

    prepare

    receipt

    sign

    copy

    copy to

    file

    copy to

    wallet

    return to car

    on the road

    again

    Ch k Sh

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    Check Sheet

    Billing Errors

    Wrong Account

    Wrong Amount

    A/R Errors

    Wrong Account

    Wrong Amount

    Monday

    P A l i

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    Pareto Analysis

    80% of theproblems

    may be

    attributed to

    20% of thecauses.

    Smeared

    print

    N

    umberofde

    fects

    Off

    center

    Missing

    label

    Loose Other

    C l Ch

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    Control Chart

    970

    980

    990

    1000

    1010

    1020

    0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

    UCL

    LCL

    Lower

    Control

    Limit

    Upper

    Control

    Limit

    C d Eff t Di

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    Cause-and-Effect Diagram

    Effect

    MaterialsMethods

    EquipmentPeople

    Environment

    Cause

    Cause

    Cause

    Cause

    Cause

    CauseCause

    Cause

    CauseCause

    Cause

    Cause

    R Ch t

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    Run Chart

    Time (Hours)

    Diameter

    T ki I t

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    Tracking Improvements

    UCL

    LCL

    LCLLCL

    UCLUCL

    Process not centered

    and not stable

    Process centered

    and stable

    Additional improvements

    made to the process

    M th d f G ti Id

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    Methods for Generating Ideas

    Brainstorming

    Quality circles

    Interviewing

    Benchmarking

    Benchmarking Process Identify a critical process that needs improving

    Identify an organization that excels in this process

    Contact that organization

    Analyze the data

    Improve the critical process

    5W2H - What, When, Where, Why, Who, How, HowMuch

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    Acceptance Sampling is a form of inspection applied to lots or batches of items

    before or after a process to judge conformance to predetermined standards.

    Acceptance Sampling is very useful when:

    Large numbers of items must be processed in a short amount of time.

    The cost of passing defectives is low.

    Fatigue/boredom is caused by inspecting large numbers of items.

    Destructive testing is required

    Advantages

    Less expensive

    Reduced damage

    Reduces the amount of inspection error

    Disadvantages

    Risk of accepting bad lots and rejecting good lots

    Less information generated

    Requires planning and documentation

    Sampling Plans

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    Sampling Plans

    Sampling Plans specify the lot size, sample size, number of samples and

    acceptance/rejection criteria.

    Sampling plans involve:

    1. Single sampling

    2. Double sampling

    3. Multiple sampling

    Random

    sample

    Lot

    1 Single Sampling Plans

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    1.Single Sampling PlansA single sampling plan is one where:

    A representative sample of n items is drawn from a lot size of N items

    Each item in the sample is examined and classified as good/defective

    If the number of defective exceeds a specified rejection number (c) the whole

    lot is rejected; otherwise the whole lot is accepted

    2.Double Sampling Plan

    A Double Sampling Plan allows to take a second sample if the results of the original

    sample are inconclusive.

    Specifies the lot size, size of the initial sample, the accept/reject/inconclusivecriteria for the initial sample (N, n1, c1 (Ac), r1(Re))

    Specifies the size of the second sample and the acceptance rejection criteria based

    on the total number of defective observed in both the first and second sample

    (n2,c2,r2)

    2 Double Sampling Plan

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    First Random sampleLot

    C1 r1

    First sample inconclusive,

    take second sampleReject LotAccept Lot

    Compare number of defective found in the first random sample to

    C1 and r1 and make appropriate decision.

    2.Double Sampling Plan

    2 D bl S li Pl

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    C2

    Reject LotAccept Lot

    Compare the total number of defective in both lots to C2 and make the

    appropriate decision

    LotFirst Random sample

    Second Random sample

    2.Double Sampling Plan

    3 M lti l S li Pl

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    3.Multiple Sampling Plan

    A Multiple Sampling Plan is similar to the double sampling plan in that successive trials

    are made, each of which has acceptance, rejection and inconclusive options.

    Which Plan you choose depends on:

    Cost and time

    Number of samples needed and number of items in each sample

    Average Outgoing Quality (AOQ)

    The average outgoing quality is only

    applicable to the characteristics defective

    units, defects per unit, and defects per

    quantity and assumes rejected lots are100% inspected and all defectives/defects

    are removed

    In this case, all rejected lots are made

    perfect and the only defects left are those

    in lots that were accepted.

    AOQ and Acceptance Sampling

    http://www.variation.com/spa/help/hs300.htmhttp://www.variation.com/spa/help/hs300.htmhttp://www.variation.com/spa/help/hs320.htmhttp://www.variation.com/spa/help/hs340.htmhttp://www.variation.com/spa/help/hs340.htmhttp://www.variation.com/spa/help/hs340.htmhttp://www.variation.com/spa/help/hs340.htmhttp://www.variation.com/spa/help/hs320.htmhttp://www.variation.com/spa/help/hs300.htmhttp://www.variation.com/spa/help/hs300.htm
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    AOQ and Acceptance Sampling

    ProducerN=3000

    n=89

    c=2Consumer

    15 lots

    2% nonconforming

    11 lots

    2% nonconforming

    4 lots2% nonconforming

    4 lots

    0% nonconforming

    How acceptance Sampling works

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