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    Introduction to

    Acceptance Sampling

    Assoc. Prof. Ir. Dr. Cheong Kuan Yew

    School of Materials & Mineral Resources Engineering

    Engineering Campus

    Universiti Sains Malaysia

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    Topic Outcome:

    At the end of this topic, student are able to:

    Discuss the importance of acceptance

    sampling (AS) in modern QC system.

    List down the advantages and disadvantages

    of AS.

    Distinguish between AS by attributes and

    variables.

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    Topic Outline:

    I] Introduction

    II] Some Definitions

    III] Areas where Inspection & Sampling are needed

    IV] Methods used in performing the task of Inspection

    V] Types of Sampling.

    VI] Formation of Lots.

    VII] Sample Selection.

    VIII] Non-Accepted Lots.

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    Introduction

    Sampling, Inspection & decision making of products.Sampling?

    Inspection?

    Decision making disposition?

    Products?

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    I] InspectionI] Inspection InspectionIt is a process of measuring, examining, testing,or

    otherwise comparing a unit of product with requirements.

    Unit of product

    It may be a single article, a pair, a set, a length, an area,

    an operation, a volume, a component of an end product,

    or the end product itself. The unit of product may or may

    not be the same as the unit of purchase, supply,

    production, or shipment.

    2] Products2] Products

    Some Definitions

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    Sampling

    Randomly drawing of sample(s).

    Lot dispositionLot sentencing (accept or reject)

    3] Sampling3] Sampling

    4] Decision making4] Decision making

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    Areas where inspection &

    sampling are needed: (1) Incoming, supplier inspection:

    QC where raw materials are moving from supplier

    (vendor) to purchaser. (components & raw materials)

    Process Inspection CustomerAcceptShip

    Reject

    Disposition of lots

    Incoming

    Raw Materials

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    (2) Process inspection

    where work-in-progress is moving from one process toanother for further processing. (operation, materials in

    process, maintenance operations, data, or records)

    Process Inspection CustomerAccept Ship

    Scrap Rework

    Reject

    Disposition of lots

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    (3) Final inspection

    where finished product is moving from the final processto the warehouse or customer. (end items, supplies in

    storage).

    Process Inspection CustomerAccept Ship

    Scrap Rework

    Reject

    Disposition of lots

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    Methods used in performing

    the task of inspection

    Methods used in performing

    the task of inspectionA. 100% inspection (every item produced is examined)

    B. Sampling inspection (based on mathematical theory

    of probability) by attributes or by variables

    C. Adhocsampling (not based on theory of

    probability,e.g. the inspection of a fixed percentage or

    spot checking).

    D. No inspection

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    A) 100% InspectionA) 100% Inspection

    This is used to eliminate the nonconformities that have

    been produced from:

    A process unable to meet product specification.

    A process in control but not capable (with

    manufacturing difficulties).

    Commonly used in new processes.

    This form of inspection is very costly especially if every

    batch (British) or lot (US) that needs to be screened.

    Lot or batch: It means inspection lot/batch a collection of unitsof product from which a sample is to be drawn and inspected to

    determine conformance with the acceptability criteria, and may

    differ from a collection of units designated as a lot or batch for

    other purposes (e.g. production, shipment,etc.)

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    It cannot eliminate all (100%) nonconformities

    presented. This could be due to

    Operator fatigue

    Operator training

    Inspection criteriaInspection method

    80-90% Human error

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    B)Acceptance SamplingB)Acceptance Sampling A system by which a lot is accepted or rejected based

    on the results of inspecting samples in that lot.

    Lot Size ofN

    Sample ofn pieces inspected

    Number of nonconformities

    Acceptance number, c

    Accept the lot, Ac Reject the lot, Re

    Screening (100% Inspection) /

    Rework / Scrap Entire lot

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    One of the oldest aspect of QA (1930s)

    This method is most likely to be used in one of five

    situations:

    When test is destructive.

    When cost of 100% inspection is high in relation to

    the cost of passing a nonconforming unit.

    When there are many similar units to be

    inspected.

    When information concerning producers quality isavailable.

    When automated inspection in not available.

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    Disadvantages of Acceptance Sampling:

    Risk of accepting bad lots and rejecting good

    lots.

    Increases documentation and planning time.

    Less information is provided about the product.

    No assurance is given to the entire lot conforms to

    specifications.

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    Acceptance sampling is NOT a

    substitute for adequate process

    monitoring and control and use ofother statistical methods to drive

    variability reduction.

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    Important Aspects of Acceptance Sampling (AS)

    It is the purpose of AS to sentence lots, notto estimate

    the lot quality.

    AS plans do not provide any direct form of QC. Even if all

    lots are of the same quality, sampling will accept some

    lots and reject others. Process controls are used to

    control and systematically improve quality, but AS is not.

    The most effective use of AS is notto inspect quality into

    the product, but rather as an audit tool to ensure that the

    output of a process conforms to requirements.

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    How many samples to be drawn? Based on good sampling plan.

    A Sampling Plan indicates the number of units of

    product from each lot that are to be inspected (sample

    size or series of sample size) and the criteria for

    determining the acceptability of the lot (acceptance and

    rejection numbers).

    Characteristics of a Good Sampling Plan:

    Protect producer against having good lots rejected.

    Protect consumer against accepting bad lots.

    Encourage producer to keep process in control.

    Minimize sampling cost.

    Provide information on product quality.

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    Lot-by-lot acceptance sampling plans.

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    II] Types of Sampling PlansII] Types of Sampling Plans

    Attribute Sampling Plans Variable Sampling Plans

    Attributes = Quality characteristics

    expressed on a go-no go basis.

    Variables = measurement

    information (Quality characteristics

    measured on a numerical scale)

    A sample is taken from a lot and

    each unit is classified as GOOD orNO-GOOD.

    A sample is taken and a

    measurement of a specifiedparameter is made on each unit.

    The number of NO-GOOD is

    compared with the acceptance

    number in the plan.

    The measurements are then

    summarized into a simple statistic

    (e.g. Mean). The observed value is

    compared to the allowable valuedefined in the plan.

    Decision is made to accept or

    reject the lot

    Decision is made to accept or

    reject the lot

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    Comparison ofAttributes and Variables Sampling PlanComparison ofAttributes and Variables Sampling Plan

    Features Attributes Variables

    1Inspection

    required

    Each item is

    classified as good or

    no-good

    Each item would bemeasured at the specified

    parameter. Higher inspection

    skill would be required.

    2Type of

    nonconforming

    Any number of

    nonconformingunder one plan

    One plan,one type of

    nonconforming.

    3 Sample size

    Large depends on

    the protection

    required.

    Smaller sample size.

    4 Distribution ofmeasurements

    None Usually assumed Normal.

    5Process

    information

    Percent

    Nonconforming

    Valuable information on

    process average and

    variation.

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    Lot-by-lotAcceptance Sampling PlansLot-by-lotAcceptance Sampling Plans

    Attributes Variables

    MIL STD 105E

    ANSI/ASQ Z1.4

    (civilian counterpart)

    MIL STD 414

    ANSI/ASQ Z1.9

    (civilian counterpart)

    Dodge-Romig plans

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    Acceptance-Sampling PlanAcceptance-Sampling Plan

    It is a statement of the sample size to be used and

    the associated acceptance or rejection criteria for

    sentencing individual lots.

    Single, Double, and Multiple Sampling Plans.

    Tighten, Normal, and Reduced Sampling Plans.

    It is a set of procedures consisting of acceptance-

    sampling plans in which lot sizes, sample sizes, and

    acceptance or rejection criteria along with the

    amount of 100% inspection and sampling are

    related.

    Sampling SchemeSampling Scheme

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    It is a unified collection of one or more acceptance-

    sampling schemes

    Sampling SystemSampling System

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    III] Formation of LotsIII] Formation of Lots

    Lot formation can influence the effectiveness of a

    sampling plan.

    Lots should be:

    homogeneous (same machine, operator,input

    material..)

    as large as possible (sample sizes do not increase

    as rapidly as lot sizes, a lower inspection cost results

    with larger lot size). [However, it is different in Just-in-

    time procurement philosophy smaller lot size].

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    Conform to good packaging principles (prevent

    product damage risks and additional nonconforming

    during transit).

    Suitable for material handling (different handling

    equipment used by producer and consumer).

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    IV] Sample SelectionIV] Sample Selection Sample units selected for inspection should be

    representative of the entire lot.

    All sampling plans are based on the premise that each

    unit in the lot has an equal likelihood of being selected (to

    avoid bias) Random Sampling. How does Random Sampling perform?

    1) Basic technique

    Assign a number to each lot (e.g. three digit number

    width, height, and depth).

    Generate a series of random numbers (computer,

    calculator, die, random-number table).

    Select a sample.

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    d

    h

    w

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    V] Non-Accepted LotsV] Non-Accepted Lots

    What are the actions that can be taken?

    Sort by production personnel.

    Rectification at consumers plant by personnel

    from either producers or customers plant.

    Return to producer

    Non-accepted lots will receive 100% inspection.

    A resubmitted lot is not normally re-inspected.

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    End