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    MAINTAINABILITY

    &AVAILABILITY

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    TerminologyAvailability Measure of the degree to which an item is in an operable and committable

    state at the start of a mission when the mission is called for at an unknown

    (random) time.

    Dependability Measure of the degree to which an item is operable and capable of performing

    its required function at any(random) time during a specified mission profile,

    given item availability at the start of the mission. See Availability.

    Capability A measure of the ability of an item or system to achieve mission objectives

    given the conditions during the mission

    Inherent R & M Value Measure of reliability or maintainability that includes only the effects of an

    item design and its application, and assumes an ideal operation and support

    environment

    Maintainability The measure of the ability of an item to be retained in or restored to specified

    condition when maintenance is performed by personnel having specified skill

    levels, using prescribed procedures and resources

    Maintenance All actions necessary for retaining an item in or restoring it to a specified

    condition

    Maintenance,

    Corrective

    All actions performed as a result of failure, to restore an item to a specified

    condition. Corrective maintenance can include any or all of the following

    steps: Localization, Isolation, Disassembly, Interchange, Re-assembly,

    Alignment and Checkout.

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    Maintenance, Event One or more maintenance actions required to effect corrective and

    preventative maintenance due to any type of failure or malfunction,

    false alarm or scheduled maintenance

    Maintenance,

    preventive

    All actions performed in an attempt to retain an item in specified

    condition by providing systematic inspection, detection, and

    prevention of incipient failures

    Maintenance,

    scheduled

    Preventive maintenance performed at prescribed points in the items

    life

    Maintenance Time An element of downtime which excludes modification and delay time

    Maintenance,

    unscheduled

    Corrective maintenance required by item conditions

    Mean- Maintenance -

    Time

    The measure of item maintainability taking into account

    maintenance policy. The sum of preventive and corrective

    maintenance times, divided by the sum of scheduled and

    unscheduled maintenance events , during a stated period of time.

    Terminology

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    Mean-Time-Between-

    Failure (MTBF)

    A basic measure of reliability for repairable items: The mean

    number of life units during which all parts of the item perform

    within their specified limits, during a particular measurement

    interval under stated conditions.

    Mean-Time - Between-

    Maintenance(MTBM)

    A measure of the reliability taking into account maintenance policy.

    The total number of life units expended by a given time, divided by

    the total number of maintenance events(scheduled and unscheduled)

    due to that item.

    Mean-Time-To-

    Failure(MTTF)

    A basic measure of reliability for non-repairable items: The total

    number of life units of an item divided by the total number of

    failures within that population, during a particular measurement

    interval under stated conditions.

    Mean-Time-To-Repair(MTTR) A basic measure of maintainability: The sum of correctivemaintenance times at any specific level of repair, divided by the total

    number of item failures during a particular interval under stated

    conditions.

    Terminology

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    Planning & Strategies

    Maintainability & Availability Planning:Maintainability engineering is performed for the following

    reasons:

    To achieve ease of maintenance through design, reducing

    maintenance time and cost, (increasing availability) To estimate maintenance and equipment downtime. This

    will determine the need for redundancy, in order toincrease availability.

    To estimate system availability by combiningmaintainability data with reliability data

    To estimate labor, hours, time, and other resources forproper maintenance

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    Designing and developing maintainable products and systems

    provides guidelines for establishing a maintainability program:

    Prepare program plan

    Perform maintainability analysis

    Prepare inputs to maintenance concept and plan

    Establish maintainability design criteria

    perform design trade-offs predict maintainability parameter values

    incorporate maintainability requirements in subcontractor specs

    Integrate other items

    Participate in design reviews

    Establish data collection, analysis and corrective action system

    Demonstrate achievement of maintainability requirements

    Prepare maintainability status reports

    Maintainability Program

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    An analysis of customer needs and requirements can determinethe maintainability and availability requirements for a systemor component.

    The customer needs may include: Expected operating time per unit time

    Downtime, maintainability time, or availability constraints

    Operational/ambient environment (i.e. polar, tropic, severe)

    Types of diagnostic and maintenance support equipment Maintenance skill levels

    Maint & Availability Requirements

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    A measure of the degree to which an item or system can be

    expected to achieve a set of specific mission requirements, andwhich may be expressed as a function of availability,dependability, and capability.

    SE= Availability x Dependability x Capability

    SE= Mission Reliability x Operational Readiness x DesignAdequacy

    System Effectiveness

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    Time, active That time during an item is in an operational inventory

    Time, administrative That element of delay time, not included in the supply delay time

    Time, alert That element of up time during which an item is assumed to be in

    specified operating condition and is awaiting a command to perform

    its intended mission

    Time, delay That element of down time during which no maintenance is being

    accomplished on the item because of either supply or administrative

    delay

    Time, down(down time) That element of active time during which an item is not in condition

    to perform its required function (Reduces availability and

    dependability)

    Time, inactive That time during which an item is in reserve

    Time, mission That element of uptime required to perform a stated mission profile

    Time, modification The time necessary to introduce any specific change(s) to an item

    improve its characteristics or to add new ones

    Time, not operating That element of uptime during which the item is not required to

    operate

    Time, reaction That element of uptime needed to initiate a mission, measured from

    the time command is received

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    Time, supply delay That element of delay time during which a needed replacement item

    is being obtainedTime, up( uptime ) That element of active time during which an item is in condition to

    perform its required functions

    Uptime ratio A composite measure of operational availability and dependability

    that includes the combined effects of item design, installation, quality,

    environment ,operation, maintenance, repair and logistic support.

    The quotient of uptime divided by uptime plus downtime

    Useful life The number of life units from manufacture to when the item has an

    unrepairable failure or unacceptable failure rate

    Wear out The process which results in an increase of the failure rate or

    probability of failure with increasing number of life units

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    Maintenance strategies should be chosen to ensure a high

    level of availability while controlling cost. Preventivemaintenance does not improve the inherent reliability of thesystem. Preventive maintenance will maintain the reliabilitylevel of useful life, keeping the failure rate low. It will also delaythe onset of were, thus increasing the length of useful life.

    A single unit, such as a pump, could be considered to be asystem. Or the pump could be considered to be a component of alarger system. In either case, system reliability is at the highestlevel if all units are in their useful life phase. Preventivemaintenance strategies such as reliability-centered maintenance

    and predictive maintenance are proactive and require thereplace or components of the system that are nearing the end oftheir useful life or entering wear-out. Replacement is madebefore failure occurs. Condition-based maintenance is reactiveand is a corrective maintenance strategy. Replacement is made

    after failure occurs.

    Maintenance Strategies

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    Predictive maintenance assumes that the operator can detect theimminent failure of a unit. This detection can be by observation,

    analysis, or using test equipment. The analysis of an oil sample or themeasurement of increased vibration might indicate were and anincreasing failure probability. If the increasing failure probability cannot be detected by the operator, a reliability-centered maintenancestrategy could be adopted. This strategy use the predicted failure

    distributions to determine the optimum replacement time for unitsabout to enter the wear-out phase. Replacement of units that areentering the wear-out portion of the bathtub curve will maintain thesystem reliability at the useful life level.

    It is possible that any maintenance action can negatively impactreliability by inducing failure modes due to the maintenance action.These maintenance induced failures are similar to the early-life failuresdue to the manufacturing or installation of a system. An effort shouldbe made during design to ensure that standard preventive maintenanceaction can be preformed quickly and a low risk of introducing problemsdue to the maintenance actions.

    Predictive & Reliability Centered Maintenance

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    Maintainability

    The measure of the ability of an item to be retained or restored to a specified

    condition when maintenance is performed by personnel having specified skilllevels, using prescribed procedures and resources, at each prescribed level of

    maintenance and repair.

    Maintainability is most commonly measured by mean time to repair(MTTR)

    Probability of Repair within the Allowable Downtime:To calculate the probability of performing a maintenance action within an

    allowable time interval use:

    t =Allowable downtime

    MTTR=Expected downtime(MTTR)

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    Example 8.3: What is the probability of completing a maintenance action

    within 5 hours if the MTTR=7 hours?

    Solution:=1-0.4895=.5105

    There is approximately a 51% probability of completion.

    The average length of failures during a mission length of time T is T. The

    number of failures which cannot be repaired within the allowable time is

    given by:

    Where: = failures per hour

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    AvailabilityA measure of the degree to which an item is in the operable and

    committable state at the start of a mission, when the mission is called

    for at an unknown (random) time.

    The three common measures of availability are:

    Inherent Availability(A1)

    Achieved Availability(AA )

    Operational Availability(Ao)

    The measure of Inherent(potential) Availability(A1):

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    The measure of Achieved (Final) Availability (AA ) :

    Where : MTBMA is the mean time between maintenance actions both

    preventive and corrective.

    MMT is the Mean Maintenance Action Time, and MMT is further

    decomposed into the effects of preventive and corrective maintenance andis given as:

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    The measure of Operational(actual) Availability (A o) :

    Where: MDT is the mean down time.

    The instantaneous availability,(probability) that an item will be

    available at time t is:

    When t is large, the expression reduces to:

    The system steady state unavailability=

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    Availability for constant failure rates

    Series Configuration

    Parallel Configuration

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    Preventive Maintenance Analysis

    Objective of preventive maintenance is to ensure that the probability offailure of equipment is minimized

    Preventive maintenance decisions will depend on factors such as

    distribution of failure times, cost of repairs, cost of down time

    Time to failure distribution pattern in a system have major influence on

    the replacement strategy

    Following example shows optimization of replacement intervals to

    minimize total cost

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    Given a decreasing hazard rate , it is best to not replace the part.

    Given a constant hazard rate, scheduled replacement does not

    reduce failure rates.

    Given a increasing hazard rate, scheduled replacement reduces

    failure rates.

    Given a nearly failure free, but increasing hazard rate, scheduledreplacement will make for nearly zero failures.

    Decreasing hazard rate,

    scheduled maintenance willreturn the part to the top of the

    curve.

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    Constant hazard rate ,

    replacement of a part will

    result in the same probabilityof failure as before.

    Increasing hazard rate,

    scheduled replacement of a partwill reduce the probability of

    failures.

    Increasing hazard rate with nearfailure free life, scheduled

    maintenance will ensure near

    failure free probability.

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    Corrective Maintenance Analysis

    Corrective maintenance should aim at quick repair, accurate diagnosis so

    that the same fault is not repeated.

    Measures of overall effectiveness would include MTBF and MTTR.

    MTBF should be high while MTTR should be low.

    Maximising the MTBF requires good diagnostic skills and tools, trained

    technical persons, adequate tools that are located easily and quickly

    Machines and equipment should be accessible for repairs. Layout of the

    equipment should therefore be planned for accessibility during breakdown.

    Data collection system should facilitate separate measurement and analysis

    of preparation time , fault isolation time, active maintenance and delays.

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    As per MIL-HDBK-472, corrective maintenance can be analyzed as seven

    steps:

    1. Localization: Determining system fault without using test equipment

    2. Isolation: Verification of system fault using test equipment3. Disassembly

    4. Interchange or replace defective parts

    5. Reassembly

    6. Alignment

    7. Checkout

    Reduction of repair time implies that time for each step should be reduced

    Time to repair could be severely impacted when required spare parts arenot available

    T bili

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    Testability

    .A test strategy should be developed for performing

    measurements on a specific item or program. Test programsusually occur at the end of development and production segments

    and are used to determine if the design requirements have been

    achieved. Test strategy includes all testing done on a product.

    Testability is an important design feature.

    Testability affects reliability, since production tests which are not

    detected by testing can lead to failures in service, and circuits (or

    complex systems) which are difficult to diagnose are more likely

    to be inadequately or incorrectly repaired. Complex systems,

    either mechanical or electronic, can benefit from good testability

    principles.

    The maintainability of a system is influenced by the ability to

    detect a system fault and to isolate the component that has failed.

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    TestabilityThe testing requirements for a system should provide for a

    method to detect a system fault and isolate the failed component: In some cases, such as for a complex system, the requirement

    could be met with a built-in test system.

    by providing easily accessible test points for critical

    measurements using external test equipment

    The testability of a system must be developed as part of the

    system design.

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    Built in test (BIT)

    The testing of complex electronic systems such as

    laboratory instruments, printed circuit boards, etc. are

    made easier with built-in test(BIT) facilities or ports.

    BITs can increase system availability and userconfidence, but can also provide false conditions if

    BIT components malfunction.

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    Preventive Maintenance

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    PMs can be performed at constant intervals or upon

    failure of the part or system. The optimum point would be

    at the point where the total of maintenance and failure

    costs are minimal. Other models for PM strategy are:

    1. Constant interval replacement policy

    2. Preventive replacement at predetermined age

    3. Optimum replacement, under minimal repair

    4. System shocks, time independent

    5. System shocks, time dependent

    6. Group maintenance7. Inspection policy

    8. Periodic inspection and maintenance

    9. Continuous monitoring

    Preventive Maintenance

    S P t A l i

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    Spare Part Analysis

    The spare part inventories needed for equipment andmachinery should not approach the raw material

    levels required for production needs. Spare are

    necessary due to factors such as:

    Long spare lead times (weeks, months, or years)

    Avoidance of expensive production downtime

    Penalties for late deliveries (as a supplier)Unreliability of suppliers(as a producer)

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    The MTTR calculation assumes that spare parts are readily

    available. This means that spares must be in inventory when

    they are needed. If there is waiting time to obtain a spare, theunit downtime will increase and availability will suffer.

    If the unit has a constant failure rate, the probability of

    requiring no more than r replacement units can be found

    using the cumulative Poisson distribution.The probability of having r or fewer failures in operating time t

    if the unit is operating with a constant failure rate of is

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    If preventive maintenance required spare parts, the number of spares

    necessary is a function of the operating time and the maintenance

    cycle. The number of spares required for preventive maintenance is

    the product of the maintenance cycle and the total operating time. The

    total number of spares that must be kept in inventory is a function of

    the delivery time, the cost of maintenance the inventory, and the

    availability requirement.

    A unit that operates an average of 2000 hours per year has a constant

    failure rate

    The maintenance strategy is to replace the unit every 5000 operatinghours. In a five- year period:

    a. How many spares will be necessary for preventive maintenance?

    b. With a.90 probability, how many spares will be necessary for

    corrective maintenance?

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    b. P (r )= 0.9

    From the cumulative passion tables in appendix N:

    P(r=2)=.92t=1.0

    With a probability of .92 the number of spares needed for

    corrective maintenance is no more then two.

    Solution:

    The operating time in a four-year period is t=5 x 2000 =10,000

    hours

    The preventive maintenance cycle is 1/5000 hours

    The number of spares required for preventive maintenance is

    n=(1/50000)x(10,000)=2