Introduction to LCC

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    ProM@in Technical Note

    Subject: Introduction to Life Cycle Cost analysis

    Author: Per Hokstad and Jrn Vatn, SINTEFDate: 2001-09-30

    Rev: 1

    1. INTRODUCTION1.1 Objectives of the noteThe main objectives of the Technical note are to:

    Provide an LCC model to be used in the overall economic evaluation of railwayequipment (the "product"), with focus on the possibility of making cost comparisons

    of different options.

    This note is based on work performed under the REMAIN project sponsored by EU.

    1.2 DefinitionsDefinitions of a few basic concepts are given below. These are based on IEC 300-3-3-Part 3, Section 3: Life cycle costing (IEC), and the NORSOK Standard: Common

    requirements Life Cycle Cost.

    Life Cycle (IEC): Time interval between product conception and its disposal

    Life Cycle Cost: The total cost to the user of the purchase and installation, and the use

    and the maintenance during the life cycle (IEC gives the shorter version: "Cumulative

    cost of a product over its life cycle".)

    Dependability (IEC): A collective term is used to describe the products availability

    performance and its influencing factors, i.e. reliability performance, maintainability

    performance and maintenance support performance.

    1.3 List of abbreviationsThe followingabbreviations are used in this report.

    General:

    CM Corrective Maintenance

    CON CONdition Monitoring

    CONSYS System (turnout) with the inclusion of CON equipment/product

    DEL Delay Cost (over life cycle)

    HAZ Hazard Cost (over life cycle)

    IEC

    INV

    International Electrotechnical Committee

    Investment cost of the system or equipment/product (primary

    investment)

    LCC Life Cycle Cost

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    MAIN

    NORSOK

    Maintenance and Operating Cost (over life cycle)

    NORSOK Standard, LCC

    PM Preventive Maintenance

    RCM Reliability Centered MaintenanceREFSYS

    TC

    Reference system (turnout) withoutcondition monitoring

    Technical Committee (within IEC)

    Investment:

    AIC

    EPC

    Annual Investment Cost (i.e. split on total life cycle)

    Equipment and Material Purchase Cost

    ENC Engineering Cost

    INC

    ISPC

    ITCDIC

    Installation Cost

    Initial Spare Parts Cost

    Initial Training CostDisposal and reinvestment Cost

    Maintenance/operation:

    ADC

    AMC

    Annual Administrative Cost

    Annual Maintenance and Operating Cost

    CONC Annual CONdition based monitoring Cost

    CMC

    ECC

    MHR

    PMC

    Annual Corrective Maintenance Cost

    Annual Energy Consumption Cost

    The Man-Hour Rate for maintenance

    Annual calendar based PM Cost

    Delay:ADC

    LDC

    NLD

    NSD

    SDC

    Annual Delay Cost

    Long term Delay Costs

    Number of Long term Delays per year

    Number of Short term Delays per year

    Short term Delay Costs

    Hazard:

    AHC

    HEC

    NHE

    Annual Hazard Cost

    Hazardous/accidental Event Cost

    Number of Hazardous/Accidental Events per year

    t0t1n

    m

    k

    Discounting:

    Base year. All costs are discounted back to this year

    The year for start of operation ( t0)

    Lifetime. The number of years from t0 until disposal of the

    product/equipmentThe number of years in operation (from t1 until year of disposal),

    = n - (t1-t0).

    Annual rate of return (interest rate minus rate of inflation)

    Some further abbreviations are used "locally" in the LCC model, e.g. see themaintenance models, Sections 2.4.2-2.4.4.

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    2. LCC MODEL

    The objective of this chapter is to present and discuss a model for cost evaluation to be

    used in the overall economical evaluation of railway equipment.

    The chapter is divided into nine sections, which comprise the following:

    Standards for LCC modelling. Section 2.1 presents and discusses the status withrespect to international standards on LCC. The standards form the basis for the

    modelling of acquisition cost.

    LCC modelling aspects. Section 2.2 presents the suggested overall breakdown of thetotal LCC into various categories.

    Investment cost model. The suggested capital cost model is presented in Section 2.3.

    Maintenance and operating cost model. The operating /maintenance cost model ispresented in Section 2.4..

    Delay cost model. The suggested unavailability (i.e. delay) cost model is presented inSection 2.5.

    Hazard cost model. The cost inferred by accidental events (rebuilding, clean-up,personal injuries, environmental threats) is presented in Section 2.6.

    The simple formula for discounting, used in the present report, is summarised inSection 2.7.

    Main features and limitation of the REMAIN LCC model is presented in Section 2.8.

    The practical use of LCC models in the acquisition of new equipment for railwaycompanies is shortly discussed in Section 2.9, essentially based on reported

    experience with the acquisition of the high speed train X2000 to the Swedish StateRailway.

    2.1 Standards for LCC ModellingAs a basis for the modelling of acquisition cost, the status with respect to international

    standards on LCC has been checked out. Within IEC (the International Electrotechnical

    Commission), there is a technical committee working with this topic. The technicalcommittee is no. 56

    1(TC56) with the titleDependability. An international standard was

    1It should be noted that although the TC56 is within IEC, the International Electrotechnical

    Commission, it is recognised also by other standardisation bodies to cover a much wider area than theelectrotechnical within the area ofdependability.

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    issued in 1996, entitled IEC-300-3-3: Dependability Management, Part 3: Application

    guide, Section 3: Life cycle costing (see the reference, IEC 1996). An earlier version of

    the standard is the referenced, IEC 1987.

    SINTEF has earlier developed models for life cycle cost, ref. Lydersen and Aar (1989).The modelling was then based on an even earlier version (committee draft) of the IEC

    standard (ref. IEC, 1987). The referred SINTEF-work based the LCC-modelling on the

    breakdown of the LCC given in the 1987 document. In the newer versions of the IEC

    documents, this suggested breakdown structure has been taken out, and the scope of the

    standard is to provide guidance on the general application of the LCC concept.

    The NORSOK standardisation work group have issued a draft standard with the title

    Life Cycle Cost for Production Facility, reference number O-CR-002 (NORSOK,

    1995). The standard is based on P-CR-002 Common Requirements - Life Cycle Cost

    (NORSOK, 1994), which present general aspects with respect to the calculation of LCC.

    Hence, the focus in this report will be on the requirements in O-CR-002, which givemore detailed information regarding the LCC modelling for production facilities. The

    scope of O-CR-002 is to standardise LCC calculation methods necessary to establish

    the facility design that gives the maximum return on investment. The suggested model

    for breakdown in cost elements in the NORSOK standard will be used as the basis for

    the economic evaluations in this report.

    There are no conflicts between the suggested LCC breakdown structure given in the IEC

    documents and in the NORSOK standard. The NORSOK breakdown structure is

    however preferred as the basis for the present application.

    2.2 LCC Modelling AspectsThis Section presents an overview of the LCC model, adapted to railway applications.

    2.2.1Principles of LCC breakdown

    In order to obtain the total life cycle cost, it is necessary to break the total cost down into

    a series of cost elements that together make up the total (i.e. a cost work package). These

    elements should be such that they could be individually assessed. As stated in IEC

    (1995), the identification of the elements and their individual scopes will need to be

    determined for the specific exercise. In IEC (1996) an approach is given which breaks

    down the total cost along three axes:

    Cost category (who): The cost category of applicable resources such as labour,materials, fuel/energy, overhead, transportation/travel, etc.

    Product/work breakdown structure (what): Breakdown of the product to lowerindenture levels.

    Life cycle phase (when): The time in the life cycle when the work/activity is to beperformed.

    For the present purpose, we suggest to essentially apply the first two of these axes. Thecosts are first split into cost categories, which provides a general structure applicable for

    all products. The product/work breakdown is in the following denoted physical

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    breakdown of the equipment, and must of course be carried out individually for each

    type of equipment.

    The third axis: life cycle phases (Figure 2.1) will also (indirectly) be accounted for as thecost categories will distinguish between

    1. investment costs (prior to start of operation) and2. maintenance/operating and "risk" costs occurring regularly during operation

    (all costs being discounted to a chosen "base year", see Section 2.2.4). Note that disposal

    (removal and recycle) cost and reinvestment cost will not be included in the present

    model, assuming that these will not distinguish significantly between various options

    (and since also data could be difficult to obtain for these costs).

    Figure 2.1 Use of LCC in various project phases (from IEC).

    In Sections 2.2.2 and 2.2.3 below, the categorisation of the first two breakdown axes are

    discussed. Section 2.2.4 presents formulas for the discounting of costs. Section 2.2.5

    concludes with a discussion on how the objective of the cost evaluation affects the LCC

    model to be applied.

    2.2.2Breakdown into Cost Categories

    The classification into cost categories (see Figure 2.2) is based on the breakdown

    structure of the total LCC suggested in NORSOK. According to NORSOK (1995) thetotal LCC can be divided into three major areas, capital cost, operating cost and

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    deferred production. Here we use the term Investmentcost rather than capital cost, to

    separate all costs prior to start of operation. As operating cost is mainly maintenancecost, we here refer to this as the maintenance. Further, the cost of deferred production

    could more generally be referred to as (production) unavailability cost, which in thepresent railway application essentially equals the delay cost. Finally, we includeHazard

    cost(costs related to accidents). Hence the total LCC equals

    LCC = CostInvestment + CostMaintenance + CostDelay + CostHazard

    or, (cf. Figure 2.2)

    LCC = INV + MAIN + DEL + HAZ

    Observe that the sum of the delay cost and the hazard cost could be referred to as the

    risk cost, and an alternative could be to split LCC into the three main categories: 1)

    investment,2)

    maintenance/operation and3)

    risk. Actually, IEC also split into just twomain categories:

    1)acquisition cost (or investment cost) and

    2)cost of ownership (or life

    support cost). In the notation of the present report the cost of ownership equals MAIN +

    DEL + HAZ, see Figure 2.2. The LCC model, based on the cost breakdown of Figure

    2.2, will be presented in Sections 2.3-2.6.

    LCC Categories

    Equipment and MaterialPurchase CostEngineering CostInstallation CostInitial Spares CostInitial Training CostDisposal andReinvestment Cost

    INV

    Investment Cost

    CorrectiveMaintenance CostCalendar basedPM CostCondition basedPM CostOperating CostEnergyConsumption Cost

    MAINMaintenance andOperating Cost

    Short TermDelay CostLong TermDelay Cost

    DEL

    Delay Cost

    Human Safety CostEnvironmentalThreat CostCleaning CostRebuilding Cost

    HAZ

    Hazard Cost

    LCC

    Life Cycle Cost

    Figure 2.2 LCC breakdown into cost categories.

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    2.2.3Physical Breakdown Structure

    As discussed in Section 2.2.2, also a physical breakdown of the product

    (equipment/system) under analysis is required. As an alternative tophysical breakdown,

    the work breakdown structure could have been used, but the physical breakdownstructure is regarded more appropriate for the present application.

    The level of appropriate physical breakdown could be a matter of concern. Note that the

    overall level of detail must be sufficient to cover all four cost categories of Figure 2.2.

    However, a different degree of breakdown level could be used for the various cost

    categories.

    Given an appropriate physical breakdown of the product ("system") into subsystems A,

    B, C,... , see Figure 2.3, the overall LCC breakdown will be as indicated in Table 2.1.

    Note that special support and test equipment should be included as a specific subsystem.

    Figure 2.3. Example of physical breakdown of equipment (i.e. "product")

    Table 2.1. LCC breakdown according to cost category and physical breakdown

    (with illustrative numbers)

    Cost Physical breakdown Sum

    Category Subsystem A Subsystem B Subsystem C

    INV 10 000 2 000 500 12 500

    MAIN 5 000 1 100 400 6 500

    DEL 1 000 400 100 1 500

    HAZ 500 - - 500

    Sum 16 500 3 500 1 000 21 000

    Physical breakdown

    A1A2

    SubsystemA

    B1B2B3

    SubsystemB

    C1

    SubsystemC

    SYSTEM

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    2.2.4The Life Cycle and cost discounting

    The Life Cycle of the product, is defined (IEC) as the interval between product

    conception and its disposal. The LCC is the predicted total cost over this period.

    Some time instants must be defined:

    t0 = Base year. All costs are discounted back to this year

    t1 = The year for start of operation (>t0)

    m = The number of years in operation.

    n =Lifetime. This equals the number of years from t0 until disposal of the

    product/equipment ( = t1-t0+m)

    In a simplified analysis, suggested in the present report, we let t0 = t1-1, discounting all

    costs to the year prior to the start of production (i.e. operation of the line).

    Discounting formula

    Let

    St = Net cost during year no. tafter t0. Note that all costs are measured in real terms,

    using base-year prices. All payments are made (say) in the middle of the year in

    question.

    k= The annual rate of return to be used for the assessments. This shall here be given as

    the difference between the interest rate and the inflation rate (this interpretation

    represents a slight approximation).

    Then the discounted cost of year t (=net present value) equals St / (1+k)t. Here t = 0

    corresponds to the base year itself.

    Any cost, St, made tyears after t0 shall be discounted back to the base year to take into

    account the time value of money, giving the following total discounted costover the life

    cycle

    W

    W

    Q

    W

    6 N=

    +0

    1( )

    In a simplified analysis we could ignore disposal and reinvestment cost. In that case weconsider an idealised model where all investment costs are restricted to occur in the

    years from t0 to t1-1 prior to operation. In this simplified approach, we also let the base

    year, t0 = t1-1, and thus all investments are made in year 0, which is the year prior tostart of operation. This will imply that no discounting is required for the investmentcost,

    INV, (which simply equals the cost of "year 0", S0 ).

    All other costs (i.e. MAIN, DEL, HAZ) are assumed to have constant contributions

    throughout the lifetime, i.e. for year 1, up to and including year m. For these

    contributions we multiply the annual costs with a discount factor fto get the total costover the lifetime. Thus,

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    I NW

    P

    W

    = +=

    ( )1

    1

    and we getf= [1 - (1+k)-m

    )] /k. So if the annual cost is denoted S, the total discounted

    cost for the m years of operation is S f, that is

    6N

    N

    P1 1 +( )

    Observe that this equals Sm when k= 0.

    2.2.5How the Task Objective Influences the Model Selection.

    Another important factor to take into account when the cost model is established is theobjective of the cost evaluation to be performed. In the present application there are

    ideally two objectives of the cost evaluations to be performed:

    To provide an evaluation ofthe differences in cost performance between two options(here exemplified by considering turnouts with/without condition monitoring

    equipment).These are based on rather rough cost estimates as being available in an

    early phase of the development (corresponding to a typical application of LCC in the

    acquisition phase).

    On a more detailed level to evaluate the cost efficiency of inclusion of (part) of thecondition monitoring equipment for turnouts. Here more detailed results, as obtained

    from the RCM analysis (see Vatn 1998) are utilised. Parts of this analysis go beyondwhat is considered a typical LCC analysis.

    The presentation of the LCC method given below is based on the first of these two

    objectives (the second purpose will be handled separately in Chapter 4). From the above

    it is seen that the cost model to apply here should be refined with respect to visualisingcost differences. Consequently, we do not put efforts into finding the ultimate answer

    with respect to the total cost of the equipment. Rather, it is sufficient to determine quite

    rough estimates of the total cost, applicable for visualising the order of magnitude of therelative cost (differences).

    2.3 Investment Cost ModelThe investment cost includes of course the acquisition of the technical system (including

    investment in the required maintenance equipment) but also documentation,

    engineering/installation, training, spare parts and any other project-related cost (e.g.

    travelling). As indicated in Figure 2.1, the Investment cost (INV) is here broken down

    into the following cost elements:

    Equipment and materials Purchase Cost, (EPC)

    ENgineering Cost, (ENC)

    INstallation Cost, (INC)

    Initial Spares Cost, (ISC)

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    Initial Training Cost, (ITC)

    DIsposal and reinvestment Cost, (DIC)

    Thus,

    INV = EPC + ENC + INC + ISC + ITC + DIC

    Note that for each category any administrative costs shall be included, when appropriate,

    in addition to the capital costs. Using the physical breakdown of the system, the costs

    related to the above five categories are obtained for each subsystem, adding up to give

    the total investment cost of the product. To summarise, the total investment costs equal

    INV = EPC + ENC + INC + ISC + ITC + DIC

    2.4 Maintenance and Operating Cost Model2.4.1General.

    The cost elements to be included in the annual maintenance and operation/adm-

    inistrative cost (after start of operation) are, cf. Figure 2.2:

    Corrective Maintenance Cost, (CMC)

    Calendar based PM Cost, (PMC)

    CONdition based PM Cost, (CONC)

    ADministrative Cost, (ADC)

    Energy Consumption Cost, (ECC)

    These costs adds up toAMC=Annual Maintenance and operation cost:

    AMC = CMC + PMC + CONC + ADC + ECC

    The annual cost, AMC, should be discounted as shown in Section 2.2.4 to give the total

    maintenance and operating cost over the life cycle (MAIN).

    The above five cost categories are discussed below (Sections 2.4.2-2.4.6). The various

    Maintenance Costs (CMC, PMC and CONC) are further split into

    Man-hour cost

    Spare parts consumption cost

    Logistic support cost

    All administrative costs and training costs related to the various maintenance activitiesare included in the fourth category, ADC. (All man-hours not included in the three first

    categories are included in ADC.)

    2.4.2Corrective maintenance cost

    The annual corrective maintenance costs are the sum of man-hour cost (for performingthe corrective jobs), spare parts consumption cost and the logistic support cost. Let

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    NCM = Number of failures per year requiring Corrective Maintenance (Total failure

    rate)

    MHCM= The number of Man-Hours required for repair (CM), total time, including

    travel, fault finding, testing etc. This is given as MHC = MTTR NC, where

    MTTR = Mean Time To Repair (in hours)

    NC= The Number of men required to do the Corrective job (including"safety crew")

    MHR = The Man-Hour Rate for maintenance. Note that this rate includes all man-hour

    costs for operator; e.g. wages, taxes, life/health insurance, facilities.

    SPCM = Spare Parts cost per repair (Corrective Maintenance)

    LSCM = Logistic Support cost for Corrective Maintenance per year

    The annual corrective maintenance cost are then calculated from the formula

    Corrective Maintenance Cost =CMC = NCM x (MHCMxMHR + SPCM) + LSCM

    2.4.3Calendar based preventive maintenance cost

    The annual calendar based PM costs are the sum of man-hour cost, spare parts

    consumption cost and the logistic support cost. LetNPM= Number of calendar based PM actions per year

    MHPM= Number of Man-Hours per calendar based PM action

    MHR = The Man-Hour Rate for maintenance

    SPPM= Spare Parts cost for calendar based PM per year

    LSPM= Logistic Support cost for PM per year

    The average annual man-hours costs for calendar based PM equals

    Calendar based PM Cost =PMC = NPM x (MHPM x MHR + SPPM) + LSPM

    If there are various calendar based PM actions (servicing) being performed at different

    intervals, the cost related to each type of job/interval must be found individually and

    summed to get the total cost. The above formula demonstrates how the cost of PM

    increases when the number of PM actions increases.

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    2.4.4Condition based preventive maintenance cost

    The annual condition based PM cost is the sum of man-hour cost, spare parts

    consumption cost and the logistic support cost. Let

    MHCON= Number of Man-hours for CONndition based PM per year

    MHR = The Man-Hour Rate for maintenance

    SPCON= Spare Parts cost for CONdition based PM cost per year

    LSCON= Logistic Support cost for CONdition based PM per year

    Note that included in the above costs are the costs of operating and maintaining any

    condition monitoring equipment (as R2000).

    Now the average annual man-hours costs for condition based PM equals

    CONdition monitoring Cost =

    CONC = MHCONMHR + SPCON + LSCON

    2.4.5Administration cost

    The annual cost of administration, operation and training is denoted

    ADC= ADministration, operation and training Cost per year

    = Number of man-hours for administration/operation/training per year

    x Man-hour rate for administration/operation/training

    This cost includes all man-hours costs not included in the various maintenance activities

    (Sections 2.4.2-2.4.4). Thus, all administration/training costs required e.g. for

    maintenance are included.

    2.4.6Energy consumption cost

    The annual cost

    ECC= Energy Consumption Cost per year

    shall include the cost of fuel required and e.g. associated CO2 tax, when relevant.

    2.4.7Disposal cost

    Observe that the Disposal and Reinvestment cost (DIC) is not included in the present

    model.

    2.5 Delay Cost ModelUnavailability of the equipment due to failures requiring unplanned corrective

    maintenance, may also infer costs related to the operation of the trains, essentially delaycosts. Note that it is here assumed that PM will notcause delay. Thus, unavailability

    costs are here grouped into the following two categories:

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    Short Term Delay Cost, i.e. costs of delays of relatively short duration (e.g. up to 30minutes) while corrective actions are carried out. This cost is mainly that of losing

    reputation (and thereby future passengers), but could also include economiccompensation to passengers if the railway company provides a guarantee on the

    maximum length of a delay.

    Long Term Delay Cost, i.e. cost due to any unavailability of rather long duration,requiring certain measures to be taken by the railway company in order to be able to

    get through the traffic. These costs are e.g. lost income due the cancellation of

    trains, financial compensation to passengers, and the cost of alternative means of

    transportation for passengers already on the delayed train.

    The first cost category could be quantified by predicting the number of trains per year

    that are delayed more than (say) 5 minutes by a failure requiring corrective maintenance.

    The second category could be caused by accidents/incidents due to failure of the

    equipment in question. The frequency of such events per year must be estimated,

    together with the expected long term delay costs related to each event (other costs are tobe included in the hazard cost, see Section 2.6).

    Now introducing

    NSD = Number of Short term Delays per year caused by failure of "product" in

    question

    SDC= Short term Delay Cost (cost per delay)NLD = Number of Long term Delays per year caused by failure of "product" in

    questionLDC= Long term Delay Cost (cost per delay)

    Then it follows thatADC= Annual Delay Cost is given as

    ADC = NSD x SDC + NLD x LDC

    This annual delay cost is discounted as shown in Section 2.2.4, to give the total delay

    cost (DEL) over the lifetime.

    2.6 Hazard Cost ModelFailure/unavailability of equipment may also cause hazardous events (possibly giving

    incidents/accidents), giving the hazard cost:

    cost of hazards to humans (e.g. personal injuries, fatalities)

    cost of hazards to environment

    cost of possible rebuilding (after accidental event)

    cost of clean-up (after accidental events)

    In addition to actual accidents (collision/derailing), we here also include hazardousevents like landslide. These costs, related to safety, are often notincluded in the LCC,

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    partly because it involves putting a price on human lives, being somewhat

    controversial. However, it is important in some way to make visible also these costs for

    loss of safety. Of course it is possible to calculate LCC without including cost of risk.

    But in that case some loss of safety measure should be calculated inaddition (e.g. thefrequency of accidents), so that the overall decision could be based on two measures:

    LCC andaccident frequency.

    Here it is suggested to include cost of risk in the LCC model in a rather rough way. The

    number of hazardous/accidental events per year (or per 1000 years) is estimated, and

    then multiplied with the estimated cost per event (without specifying in detail the

    various contributions to this cost). Using this approach it will not be required to specifythe cost per (statistically occurring) fatality.

    Introducing

    NHE = Number of Hazardous/accidental Events per year caused by failures of the

    "product" in question

    HEC= Cost of one Hazardous/accidental Event.

    Then Annual Hazard Cost is given as

    AHC = NHE x HEC.

    This annual hazard cost is discounted as shown in Section 2.2.4, to give the total hazard

    cost (HAZ).

    2.7 Simplified case for discounting of cost contributionsUsing the present breakdown into cost categories, the overall LCC is found from (cf.

    Figure 2.2)

    LCC = INV + MAIN + DEL + HAZ

    As pointed out in Section 2.2.4 costs must be discounted back to the base year, t0. In

    the somewhat simplified LCC calculation suggested in the present report, we let the

    year for start of operation, t1=t0+1. Further, we let the total investment costs (INV) begiven directly in terms of a cost invoiced in "year 0" (t0), i.e. the year prior to start of

    operation, t1. The period of operation is exactly m years (from 1st of January in year 1

    until 31st of December in year m). Finally, the annual costs ofmaintenance/operation

    (AMC), delay (ADC) and hazards (AHC), respectively, are the same for all m years of

    the operation for the product, and these costs are then multiplied with the discounting

    factorf= [1 - (1+k)- m

    ] / kto give total costs. So in this case the total LCC equals (cf.

    Section 2.2.4)

    LCC = INV + [ AMC + ADC + AHC]x[1 - (1+k)- m ] / k

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    This is the simple discounting formula used in the calculations of the REMAIN LCCmodel. Observe that AMC + ADC + AHZ equals the annual cost of ownership (life

    support cost).

    The comparison of two concepts is more problematic if the concepts have different

    lifetimes (i.e. different values ofm). In that case the annuities should be compared (total

    cost split over the m years of operation). Thus, the LCC is multiplied with

    k/[1 - (1+k)-m

    )], and in that case, the annual costs,

    LCCANNUAL = INVx k/[1 - (1+k)-m

    ] + [ AMC + ADC + AHC]

    of the two concepts are compared. We remind that disposal and reinvestment costs are

    not incorporated in the above formulas. By introducing the discounting factor

    d(k, m) = k/[1 - (1+k)-m

    )](= 1/m, when k=0)

    we get that annual investment costs equals

    AIC = d(k, m) x INV

    And annualLCCis written as

    LCCANNUAL= d(k, m) xINV+ ( AMC + ADC + AHC)

    =AIC + AMC + ADC +AHC

    2.8 Main features of the REMAIN modelIn this Section we point out some of the features and limitations of the REMAIN model

    for LCC analysis

    The REMAIN model restricts to infrastructure equipment (i.e., possiblemodifications required for use on rolling stock has not been investigated).

    The REMAIN approach suggests a flexible method for data collection, applying aquestionnaire that allows data to be provided at various levels of detail (i.e. adapting

    data collection to the resources available and to requested accuracy of the results).

    The REMAIN model is rather simple, as e.g.- the discount factor is constant through the lifetime- the yearly costs (maintenance, operation etc) are fixed.- it focuses on comparison between two options. The main objective is rather to

    provide reasonable estimates ofcost difference (for use as decision support), and

    is not aiming at obtaining very accurate total cost estimates.

    - disposal cost of equipment by end of its life cycle is not included

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    It is realised that the inclusion ofHazard costs in the REMAIN model is somewhat

    untraditional. However, for a fair comparison of two options it is judged essential also to

    have safety in mind. Of course safety might be judged separately. However, it is

    sensible, at least in a rough way, also to visualise the economical effects of possibledifferences in safety, as these effects might easily be underestimated. Not only can a

    somewhat lower safety lead to hazard costs as indicated in the REMAIN model, it might

    also lead to reduced lifetime (e.g. by a turnout being destroyed in a derailment).Obviously, the user is free notto include the hazard cost in the LCC analysis, if that is

    preferred.

    The REMAIN approach allows comparison of LCC for two differentconcepts. In order

    to make such a comparison meaningful, also when the number of years in operation (m)

    differs for the two options, the REMAIN approach focuses on annual LCC.

    The use of LCC analysis is often seen as a burden, due to the large amount of (detailed)information required. The use of the REMAIN method is then an option, when the

    resources (and data) to carry out such a detailed analysis is not available. In particular,

    such a more simple (and less costly) approach would be advantageous in order to

    provide a first prediction of costs, e.g. to decide whether a more detailed analysis is

    required or worthwhile (cf. the discussion in Chapter 3).

    2.9 Use of LCC in the acquisition of new railway equipmentThere is still not a widespread use of LCC in the acquisition of railway equipment.

    However, the Swedish State Railway used the LCC approach in the acquisition of their

    high speed train X2000, which is reported to be a success, for both parties (customer and

    supplier), see Burstrm et al, 1994, and Akselsson and Burstrm, 1994. These papers

    provide the information presented in the present Section.

    2.9.1General approach for acquisition

    The following steps are recommended in the acquisition process:

    1. Establishment of the LCC model2. Determination of the operational profile3. Request for proposals4. Evaluation and amplification of the proposals

    5. Negotiations with tenderers6. Contract with LCC guarantee7. Delivery8. Verification

    A few of these points are commented below. When establishing the LCC model it is

    recommended to carry out a pre-study on an existing, similar system, both for validation

    of the model, training of the LCC team, and also for establishing a reference for the

    reliability and LCC evaluations of the tenders.

    The following factors must be included in the request for proposals, see Burstrm et al

    1994,

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    Principles of the LCC evaluation. Inform that missing data or the failure of thetenderer to guarantee properties of the product implied by the supplied data may be a

    reason for rejection of the tender.

    Supplier responsibility for availability performance. An availability performanceprogramme shall be carried out, involving continuous analyses of alternative

    technical solutions during the engineering phase.

    Expected guarantees from the suppliers should be stated.

    Operational profile of the equipment.

    The present maintenance organisation should be described. If the tenderer identifiesmissing resources or equipment, necessary of maintaining the offered equipment, this

    should be stated in the tender.

    The LCC calculation model must be provided with the request for proposal, giving allcustomer parameters.

    Data necessary for the evaluation, thus to be included in a tender, must be carefullyspecified.

    The customer (railway company) performs the LCC calculations according to the stated

    model, also using previous experience with similar equipment to estimate e.g.

    maintenance costs.

    2.9.2Contractual requirements and verification

    The contractwill among other things contain rules for project realisation, for example

    the change procedure, and guarantees. It should be guaranteed that a specific LCC value

    must not be exceeded. Reliability and maintainability performance guarantees are also

    desirable, e.g. maximum no. of failures requiring CM, and average or maximum repairtime. In the X2000 project the contract included guarantees concerning both reliability

    performance and LCC:

    1. The number of stopping failures should not exceed 12 per million km, the definitionof this being a stop on the line for more than 15 min without possible restart.

    (Contractual status had indicated about 11 stopping failures pr million km.)

    2. The number of faults causing an unplanned workshop visit directly after arrival at theend station should not exceed 750. (Contractual status had indicated about 450.)

    3. The LCC value as calculated according to the agreed LCC model should not beexceeded by more than 10 per cent.

    However, a guarantee is not much worth unless its fulfilment can and will be verified.

    How this will be done should be outlined already in the request for proposals, and a

    procedure agreed on in the contract.

    In the X2000 project the contract stated that the contractor had an undertaking to

    conduct verification of reliability, maintainability and LCC. The contract also included a

    contractor commitment to carry out an availability performance programme. This means

    that during the engineering phase continuous analyses concerning reliability and

    maintainability performance should be carried out, and their impact on LCC assessed. A

    specific maintenance analysis was also carried out, e.g. resulting in a prediction on the

    balance between PM and CM.

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    As in this case where strict reliability and LCC requirements are stated in the contract,

    there is a prerequisite for a successful project that LCC and reliability considerations are

    integrated into the normal design process.

    LCC, reliability and maintainability verification implies that the equipment is very

    carefully followed up during a reasonable period of normal operation. For the purpose of

    reliability performance verification, all (failure) events are carefully reported and

    logged, and customer and supplier together decide whether or not any event is a relevant

    irregularity. The supplier is of course responsible only for failures resulting from the

    vehicle itself. Maintainability performance (repair times) may be verified through repairs

    of a number of randomly chosen failure modes. Verification of PM actions could be

    rather expensive to perform, but the customer should at least reserve the right to demand

    verification of any data provided by the supplier. Energy consumption also ought to be

    verified, either theoretically or in practice.

    In the X2000 project there was a verification period of six months, and in this period

    every event involving a maintenance action was registered. Each report was classified

    regarding relevance to the verification and regarding consequence. All reports were

    considered relevant unless any of the following cases were fulfilled:

    The failure was caused by incorrect handling

    The failure was secondary failure, caused by another reported failure

    The failure was caused by equipment not within the delivery

    The failure was due to usage of the train beyond its specification.

    "Failure" in this text is given a very wide meaning, since all events resulting in any

    maintenance action, no matter how simple and unimportant they might be for the actual

    service, are considered.

    2.9.3Benefits of using LCC

    The referred LCC application (X2000) is reported to be a success, for both parties

    (customer and supplier). It was demonstrated that the LCC technique is an efficient tool

    to achieve low total cost and high reliability. By continuous and systematic analyses

    throughout the whole process, from contract to verification, the result was a very reliable

    product. There was no doubt that lower failure rates and shorter repair times were

    achieved than would otherwise have been the case, and that has also been the means tocontrol the LCC.

    The benefits for the customer are obvious. A much better defined product is achieved

    already at the time of contract signing, and the supplier will be committed to do a good

    job with emphasis on availability performance. All relevant costs of different technical

    alternatives are calculated, enabling the most favourable solution regarding LCC to be

    chosen. If a low LCC is predicted and subsequently verified the customer will benefit

    from low support costs for the entire life of the system.

    The LCC method has also advantages for the supplier. An insight into the customers

    intended use of the product and the value placed on different costs is obtained. Thesupplier also gets a tool for evaluation of different technical solutions since availability

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    performance can be valued in economic terms. Finally, if evidence of a thoroughly

    evaluated product can be obtained, this can be used in marketing.

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    3. COST EFFECTIVENESS OF THE CONDITION MONITORING CONCEPT

    In order to conclude on the cost effectiveness of introducing condition monitoring

    equipment (here R2000), we might perform some sensitivity analyses. The question of

    whether some but not all sensors are cost effective requires more detailed analyses, cf.

    Vatn (1998), where also an overall optimisation of the maintenance strategy is

    considered.

    In the present chapter we restrict to discuss the conclusion of case A (Section 3.2) on

    the cost effectiveness of introducing R2000. As input data are always uncertain, the

    main question is: How sensitive is this conclusion to variation in the input data?

    Here we restrict to carry out this discussion by considering the following approximation.

    Approximation: Assume that

    1. m is notchanged by introducing R2000

    2. ADC= AHC 0

    (here and in the following we use the notation that -ADC = reduction in annual delay

    costs by introducing R2000, and AHCis defined similarly).

    Both assumptions of this approximation are considered conservative in the sense thatR2000 might possibly extend the lifetime (increase m) of the turnout, and also reduce

    the delay and hazard costs. So if R2000 is found cost effective even under these

    assumptions, we can actually conclude that this is the case. Further, as the estimates ofADCandAHCwere so small for case A, assumption 2 will hardly affect the conclusion

    (unless the estimates are very wrong). We conclude that (for case A)

    The cost effectiveness of R2000 essentially is

    determined by

    k m INV AMC

    Here INV= increasedinvestment costs by introducing R2000, and -AMC= reduction

    in annual maintenance cost.Further, assumptions 1 and 2 infer that the difference in the

    annual LCC of REFSYS and CONSYS equals

    LCCANNUAL = d(k, m) x INV + AMC

    whereas before

    d(k, m) = k/[1 - (1+k)-m

    ]

    d(k, m) = 1/m, when k= 0

    Thus, we conclude that R2000 results in cost reduction (LCCANNUAL< 0) when

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    -AMC > d(k, m)xINV

    (that is, when the reduction inAMCis larger than the increase in discounted investmentcost)

    Example:

    For case A, we have the following values (see Section 3.2)

    AMC= -2 300

    d(k, m) = 0.0614

    INV = 19 200

    giving-AMC= 2 300 > 0.0614 x 19 200 = 1 180

    once more demonstrating the cost effectiveness of introducing R2000.

    In general, we claim that:

    1. Good estimates are usually available for k, m and INV: Gives (upper limit) for the Right Side of the inequality

    above

    2. Detailed discussion of-AMCis required to conclude on the

    cost effectiveness on introducing CON

    Regarding item 1. it is observed that:

    Lower limitofm and upper limitofkprovides upper limitofd(k, m)

    This is illustrated in Table 4.1. For instance it is seen that ifk 6% and m 20 years,

    then it follows that d(k, m) 0.087.

    Table 4.1 Values ofd(k, m)k

    M 0% 2% 4.5% 6% 8% 10%

    20 years 0.050 0.061 0.077 0.087 0.102 0.117

    30 years 0.033 0.045 0.061 0.073 0.089 0.106

    40 years 0.025 0.037 0.054 0.067 0.084 0.102

    50 years 0.020 0.032 0.051 0.063 0.082 0.101

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    Example on how to arrive at a firm conclusion with respect to cost effectiveness:

    1. Provide estimates (limits) ofk, m and upper limit ofINV, e.g.:

    k 6% and m 20 years: It follows that d(k, m) 0.087

    INV 20 000giving an upper limit of the right side of the inequality above.

    2. It follows that R2000 is cost effective if

    -AMC > 0.087 x 20 000 = 1 740

    Generally it should not be too hard to obtain good estimates for the right side of the

    above inequality. Thus, often it is the case that:

    Essentially a discussion on reduction in annual maintenance

    cost, -AMC, is required to conclude with respect to the cost

    effectiveness of R2000

    Here we have used the possible acquisition of R2000 for a turnout as an example.

    However, the outlined approach for cost comparison is of course quite general.

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    4. REFERENCESIEC, 1987

    Draft IEC/TC 56, Draft - Life Cycle Costing - Concepts, procedures and

    applications, IEC, 1987.

    IEC, 1996

    International Standard, IEC 300-3-3, Dependability management - Part 3: Application

    Guide - Section 3: Life Cycle Costing, IEC. First edition 1996.

    NORSOK, 1994NORSOK P-CR-002, Common Requirements - Life Cycle Cost, Rev. 1, December

    1994.

    NORSOK, 1995

    NORSOK O-CR-002, Life Cycle Cost for Production Facility, Draft 1, September

    1995.

    NPD, 1990

    Norwegian Petroleum Directorate, Regulations concerning implementation and use ofrisk analyses in the petroleum activities, 1990.

    SINTEF, 1989

    S. Lydersen and R. Aar, Life Cycle Cost Prediction Handbook; Computer-Based

    Process Safety Systems, SINTEF Report STF75 A89024, 1989.

    Akselsson andBurstrm, 1994

    H. Akselsson and B. Burstrm, 1994, Life cycle cost procurement of Swedish State

    Railways high-speed train X2000. Proc. Instn. Mete. Engrs. Vol. 208, pp 51 - 59.

    Burstrm et al, 1994

    B. Burstrm, G. Ericsson and U. Kjellson, 1994, Verification of Life-Cycle Cost and

    Reliability for the Swedish High Speed Train X2000. Proceedings Annual Reliability

    and Maintainability Symposium, pp 166 - 171.

    Vatn, 1998

    J. Vatn, 1998. Strategic Maintenance Planning in Railway Systems (RESMAP).

    Technical Report STF38 A98425, SINTEF Industrial management, N7034 Trondheim,Norway. ISBN 82-14-00451-9.

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    5. APPENDIX. Questionnaire for LCC input dataThe following pages present the questionnaire particularly developed in REMAIN for

    obtaining input data to the LCC analysis.

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    1. General Data

    Entry Parameter Value Comments

    No. Symbol Description1.1 m Number of years in operation.

    The average life length of a turnout

    (from installation to disposal)

    1.2 NSW Number of turnouts.

    The number of turnouts being the

    basis for the assessments

    1.3 MHR Man-hour rate.

    The total cost associated with an

    employee (wages, taxes, insurance,

    canteen, ....)

    1.4 k "Interest rate".

    The interest rate used for economic

    planning in the company.

    The real (nominal) interest rateshould be compensatedfor the effect

    of inflation:Provide the interest rate minus the

    rate of inflation!

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    2. (Primary) Investment Data

    Entry Parameter Value Comments

    No. Symbol Description2.1 EPC Equipment and Material Purchase

    Cost.

    Cost for one turnout

    2.2 ENC Engineering Cost.

    Total engineering cost for one

    turnout

    2.3 INC Installation Cost.

    Total installation cost for one

    turnout

    2.4 ISPC Initial Spare Parts Cost.

    Total cost for initial spare parts of

    one turnout

    2.5 ITC Initial Training Cost.

    Total cost required for initial

    training of personnel for operation

    of one turnout

    2.6 INV Investment Cost.

    Total cost, prior to start of operation

    for one turnout

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    3. Maintenance and Operating Cost Data (yearly costs)

    Entry Parameter Value Comments

    No. Symbo

    l

    Description

    3.1 CMC Corrective Maintenance Cost.

    Total annual cost for corrective

    maintenance of one turnout.

    3.2 PMC Calendar based Preventive

    Maintenance (PM) Cost.

    Total annual cost for calendar based

    PM of one turnout.

    3.3 CONC Condition based PM Cost.

    Total annual cost for condition based

    PM of one turnout.

    3.4 ADC Administrative Cost.

    All annual costs of one turnout in

    addition to those of 3.1-3.3, e.g.

    including preparedness, training.

    3.5 ECC Energy Consumption Cost.

    Total annual energy cost for one

    turnout.

    3.6 AMC Annual Maintenance and Operating

    Cost.

    Total operation and maintenance cost

    per yearfor one turnout.

    1)Second term only is included in the LCC analysis of turnouts

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    3.1 Corrective Maintenance (CM) Data (detailing the data given in 3.1)

    Entry Parameter Value Comments

    No. Symbol Description

    3.1.1 NCM Number of failures per yearrequiring Corrective Maintenance

    (CM).

    Total number of failures per year for

    one turnout.

    3.1.2 MHCM Number of man-hours required for

    each failure repair.

    Total number of man-hours,

    including travel, fault finding, testingafter repair, etc., for one failure

    (=Mean Time To Repair multiplied

    with the number of men required todo the job)

    3.1.3 SPCM Spare Parts Cost per repair.

    Total average cost of spare partsduring the repair ofone failure

    3.1.4 LSCM Logistic Support Cost for CM.

    Total annual cost for logistic support

    for corrective maintenance of oneturnout (i.e. CM cost in addition to

    those following from 3.1.2 - 3.1.3)

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    3.2 Calendar based Preventive Maintenance (PM) Data (detailing the data given in 3.2)

    Entry Parameter Value Comments

    No. Symbol Description

    Number of calendar based PMactions per year.

    Total number of calendar based PMactions per yearfor one turnout.

    3.2.2 MHPM Number of man-hours required for

    each calendar based PM action.

    Total number of man-hours for PM ofone turnout, including e.g. travel.

    3.2.3 SPPM Spare Parts Cost per calendar based

    PM action.

    Total average cost of spare parts

    during the PM of one turnout.

    3.2.4 LSPM Logistic Support Cost.

    Total annual cost for logistic support

    for calendar based PM of one turnout(i.e. calendar based PM cost in

    addition to those following from

    3.2.2 - 3.2.3)

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    3.3 Condition based Preventive Maintenance Data (detailing the data given in 3.3)

    Entry Parameter Value Comments

    No. Symbol Description

    3.3.1 MHCON Number of man-hours required forCondition based PM per year

    Total number of man-hours

    required for condition based PMper year, including e.g. travel, for

    one turnout.

    3.3.2 SPCON Spare Parts Cost required for

    Condition based PM per year.

    Total average cost of spare parts

    required for Condition based PMper year, for one turnout.

    3.3.3 LSCON Logistic Support Cost.Total annual cost for logistic

    support required for Condition

    based PM of one turnout (i.e.Condition based PM cost in

    addition to those following from

    3.3.2 - 3.3.3)

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    4. Delay Cost Data (yearly costs)

    Entry Parameter Value Comments

    No. Symbol Description

    4.1 NSD Number of Short Term Delays perYear.

    Total no. of events per year resulting

    in "short" train delays, caused by

    failure of one turnout. Exclude very

    short delays, which are not expected

    to incur any cost,

    (include delays of duration up to say

    1 hour, that e.g. will not require

    alternative transportation).

    4.2 SDC Short Term Delay Cost.

    Total costper delay, caused by anaverage "short term delay".

    4.3 NLD Number of Long Term Delays per

    Year.

    Total no. of events per year resulting

    in "long" train delays, caused by

    failure of one turnout,

    (include delays that require specific

    measures to be taken, e.g. providing

    alternative transportation).

    4.4 LDC Long Term Delay Cost.Total costper delay, caused by an

    average "long term delay".

    4.5 ADC Annual Delay Cost.

    Total annual cost related to

    unavailability/delay caused by one

    turnout.

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    5. Hazard Cost Data (yearly costs)

    Entry Parameter Value Comments

    No. Symbol Description5.1 NHE Number of Hazardous/Accidental

    Events per Year.

    Total no. of hazardous events per

    year, caused by failure of one

    turnout.

    A hazardous event is an accident

    causing a threat to human safety,

    environment or material damage.

    5.2 HEC Hazardous/Accidental Event Cost.

    The total cost caused by one

    "average" hazardous-/accidentalevent. Includes e.g. personal injuries,

    fatalities, material/environmental

    damage and cleaning/rebuilding costs

    after accidents.

    ("How much is the company willing

    to pay to avoid such an event"?)

    5.3 AHC Annual Hazard Cost.

    Total annual cost related to

    hazardous/accidental events, caused

    by one turnout.