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    Writing the Problem

    Statement

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    Writing the problem statement for

    your work or research proposalcomprises the following parts:

    Setting of work proposal: ?

    ?

    Work problem:?

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    Quantitative specification of problem:

    ?

    Importance of problem:

    ,?

    Project need:,

    ?

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    A decision-making environment is increasingly

    complex. Consumer demand on the water supply in southern

    Taiwan has significantly increased in recent years

    owing to population and industrial growth, as well

    as elevated living standards.

    Statistical approaches such as scored methods are

    extensively used to optimize the process

    parameters of ordered categorical responses.

    Process quality and delivery time have received

    increasing emphasis in industry.

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    Process capability index is a highly effective means of evaluating

    process performance. Enterprises trade with each other by carefully considering business

    ratings to reduce investment risks.

    An increasing number of wafer fabs use a control chart to detect

    assignable causes, making it extremely difficult for engineers to

    effectively control the wafer process.

    Predicting the amount of residuals in ground water contaminants has

    been extensively studied.

    Owing to their lowest density among all metallic structural materials,

    magnesium alloys are highly promising for their diverse use in theautomotive, railway, aerospace, computer, communications and

    consumer electronics industries.

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    Work problem:

    What is the problem that you are trying

    either to solve or more thoroughlyunderstand in the work proposal?

    ?

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    Conventional evaluation models are concerned only with

    economic factors and neglect factors that can not be

    evaluated by money.

    Although the reservoir supply in southern Taiwan can satisfy

    the current water demand, increasing demands will soon

    surpass the reservoirscapabilities.

    These methods inaccurately estimate the dispersion effect,

    thereby confounding the location effect and dispersion effect.

    Conventional process capability indices(PCIs) are unable not

    only to objectively assess quality and delivery time, but also

    to identify how PCIs and yield rate are related.

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    Conventional process capability indices can not

    measure a non-normal distribution process accurately. Conventional mathematic models have difficulty in

    discriminating between multiple ranks.

    Conventional control charts are designed formanufacturing systems with only one source of

    variation, making it impossible to control several

    independent sources of variation.

    These alloys have a low formability near roomtemperature and are more expensive than plastics,

    aluminum, steel and cast iron.

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    Quantitative specification of problem

    : How can you quantitatively define theproblem so that the reader understands the

    quantitative limitations of previous efforts to

    solve this problem?

    ?

    Consider the following examples:

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    A prediction accuracy of only 60% among

    departed models

    The inability to measure a non-normal distribution

    process accurately

    An error rate exceeding 20%

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    A situation in which the formability near room

    temperature does not reach 20% elongation

    Increasing the evaporation speed by 1% increases

    the resistance by 5%

    The failure to understand precisely which

    microscopic features form a particular phase

    topology

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    Importance of problem:

    If the problem remains unsolved or not

    thoroughly understood, how will this

    negatively impact the reader of your workproposal?

    ,

    ?Consider the following examples:

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    Conventional models may cause decision makers to

    select an inappropriate scheme.

    The lack of an effective water distributed strategy

    for current reservoirs will lead to frequent water

    shortages in southern Taiwan. Implementing those methods leads to an inaccurate

    optimal level combination of process parameters.

    The lack of an objective procedure leads to

    inefficiency and a high overhead cost.

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    This surging demand will lead to the increased drilling of

    new wells to locate

    groundwater resources, which is extremely expensive.

    Using such charts often leads to ineffective and futile

    searches for assignable causes, thus expending a

    considerable amount of manpower and capital.

    The inability to understand its impact on ionic

    conductivity makes it impossible not only to estimate the

    radiation defect rebuilding in cesium halides doped with

    OH-impurity, but also to measure the ionic conductivityof irradiated crystals.

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    Project need:

    Based on the problem defined above,what is the immediate project need?

    ,

    ?

    Consider the following examples:

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    A flexible and accurate neural network structure

    must be developed that applies artificial intelligence

    in fuzzy theory to business ratings and bankruptcy

    prediction.

    An optimal operating model must be developed,capable of choosing an effective monitor well to

    adequately control a groundwater system.

    A process capability index must be developed that

    adopts the Clements and Bootstrap methods toovercome these obstacles.

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    An optimization model must be developed,

    capable of effectively managing water resources

    for current reservoirs in order to decrease theprobability of water shortages.

    An efficient quality control process must be

    developed, capable of detecting assignable causesconcealed behind multiple characteristics and

    multiple readings in a manufacturing system with

    several sources of variation.

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    A NAPL simulator model must be developed

    that contains several parameters acquired by

    experimental data.

    A processing method must be developed,

    capable of producing materials in a requiredshape at a relatively low cost directly from

    wrought products.

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    An appropriate evaluation model capable of selectingnatural gas bus brands must be developed.

    A novel response surface methodology with simplified

    calculations must be developed to accurately estimate the

    location effect and dispersion effect, leading to an optimal

    level combination of process parameters.

    Anefficient hypothesis testing procedure for PCIS must be

    developed, capable of assessing the performance of

    operational cycle time (OCT) and delivery time (DT) for

    VLSI..

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    Putting it together: Writing the

    problem statement

    Consider the following examples:

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    ( example 1 )Setting of work proposal

    Enterprises trade with each other by carefully

    considering business ratings to reduce investment risks.

    Work problemHowever, conventional

    mathematic models have difficulty in discriminating

    between multiple ranks. Quantitative specification of

    problem A prediction accuracy of only60% among departed models Importance of problem

    exposes traders to unnecessarily high risks.

    Project need Therefore, a flexible and

    accurate neural network structure must be developedthat applies artificial intelligence in fuzzy theory to

    business ratings and bankruptcy prediction.

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    (example 2 )Setting of work proposal

    Demands on the water supply in Taiwan have skyrocketedowing to the island's increasing population and elevated

    living standards. Work problemEventually, the

    current reservoir supply will be insufficient if current

    demands from personal and industrial use persist.

    Importance of problemConsequently, thissurging demand will lead to the increased drilling of new

    wells to locate groundwater resources, which is extremely

    expensive. Project need An optimal operating

    model must therefore be developed, capable of choosing aneffective monitor well to adequately control a groundwater

    system.

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    ( example 3 ) Setting of work proposal Engineers heavily emphasize applicability and the accuracy

    when using a process capability index to evaluate how a

    process performs. Work problemHowever, using

    conventional process capability indices to evaluate a non-

    normal distribution process often leads to inaccurate results.

    Additionally, calculating a point estimator with sampling data

    leads to inaccurately estimation of the process capability

    index of process population. Although sampling more data

    can increase the accuracy of an estimator, such an approachwould be costly and time consuming.

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    (example 4 )Setting of work proposal Consumer

    demand on the water supply in southern Taiwan has significantlyincreased in recent years owing to population and industrial

    growth, as well as elevated living standards. Work problem

    Although the reservoir supply in southern Taiwan can satisfy

    the current water demand, increasing demands will soon surpass

    the systems capabilities. Importance of problem

    Moreover, the lack of an effective water distributed strategy for

    current reservoirs will lead to frequent water shortages in southern

    Taiwan. Project need An optimization model must

    therefore be developed, capable of effectively managing waterresources for current reservoirs in order to decrease the probability

    of water shortages.

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    Setting of work proposal An increasing number of

    wafer fabs use a control chart to detect assignable causes, makingit extremely difficult for engineers to effectively control the wafer

    process. Work problemHowever, conventional control

    charts are designed for manufacturing systems with only one

    source of variation, making it impossible to control several

    independent sources of variation. Importance of problemUsing such charts often leads to ineffective and futile

    searches for assignable causes, thus wasting a considerable

    amount of manpower and capital. Project need

    Therefore, an efficient quality control process must be developed,

    capable of detecting assignable causes concealed behind multiple

    characteristics and multiple readings in a manufacturing system

    with several sources of variation.

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    (example6 ) Setting of work proposal

    Owing to their lowest density among all metallicstructural materials, magnesium alloys are highly

    promising for their diverse use in the automotive,

    railway, aerospace, computer, communications and

    consumer electronics industries. Work problemHowever, these alloys have a low formability

    near room temperature and are more expensive than

    plastics, aluminum, steel and cast iron. Quantitative

    specification of problemA situation inwhich the formability near room temperature does not

    reach 20% elongation

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    Importance of problemlimits

    commercial applications of magnesium and

    its alloys. Project need A

    processing method must therefore be

    developed, capable of producing materials in

    a required shape at a relatively low cost

    directly from wrought products.

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    (example 7 )Setting of work proposal A decision-making environment is increasingly

    complex, Work problem accounting forwhy conventional evaluation models are concerned

    only with economic factors and neglect those factors

    that can not be evaluated by money. Quantitative

    specification of problem In addition toan economic criterion, for example, when evaluating

    different brands of a bus system, many criterion are

    still available such as the level of pollution made by

    bus and the driving abilities of a bus.

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    Importance of problem Consequently,

    such models may cause an incomplete evaluation and

    decision makers may ultimately select aninappropriate scheme. Moreover, implementing an

    inappropriate scheme will incur large social costs and

    loss of resources. Project needTherefore, an

    appropriate evaluation model capable of selectingnatural gas bus brands must be developed.

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    (example8 ) Setting of work proposal Despite

    their extensive use in solving problems related to ordered

    categorical data quality, Work problem conventionalscored methods are unnecessarily complex and inaccurate in

    terms of estimating the dispersion effect. Quantitative

    specification of problem Additionally, their

    implementation leads to an inaccurate optimal level combination

    of process parameters, Importance of problem thusrequiring a large amount of time and a higher cost in product

    design stage. Project need Therefore, a novel response

    surface methodology with simplified calculations must be

    developed to accurately estimate the location effect and

    dispersion effect, leading to an optimal level combination of

    process parameters.

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    (example 9 ) Setting of work proposal

    Although process quality and delivery time

    have received increasing emphasis in industry,Work problem conventional process

    capability indices (PCIs) are unable not only to

    objectively assess quality and delivery time but

    also to identify how PCIs and yield rate are related.Quantitative specification of problem

    Consequently, the lack of an effective

    performance index and an objective procedure will

    lead to inefficiency and a high overhead cost.

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    Importance of problem Furthermore,

    firms that perform poorly in terms of quality and

    delivery will lose their market competitiveness.Project need Therefore, an efficient

    hypothesis testing procedure for PCIS must be

    developed, capable of assessing the performance

    of operational cycle time (OCT) and delivery time

    (DT) for VLSI.

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