AKS Jardine UofT Presentation

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    A.K.S. Jardine

    1

    Life Cycle Cost Analysis & Fleet

    Retention Strategies

    February, 2008

    Andrew K S Jardine

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    A.K.S. JARDINE 2

    $$

    Time

    total cost

    operations

    depreciation

    inventory

    downtime

    Life Cycle Model

    Source: H. Greene & R.E. Knorr, Managing Public Equipment, American Public WorksAssociation, Kansas City, 1989.

    maintenance

    Economic Life

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    A.K.S. JARDINE 4

    Fleet Statistics

    Utilization: 110,000 km/year per tractor

    Fleet size: 17

    Tractor weight: 23,000

    Current policy: 5 year replacement cycle

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    A.K.S. JARDINE 5

    Title: BEST ESTIMATE RESALE VALUES

    Number of Years: 5

    Acquisition Cost: 85000

    Age of

    Vehicle

    O&M Cost

    (In Todays

    Dollars)

    Rate for

    Cash Flow

    Discounting

    Trade-in

    Value

    EAC

    Best Year

    Highlighted

    1 Year Old

    2 Year Old3 Year Old

    4 Year Old

    5 Year Old

    29352

    4524652626

    53324

    42363

    10%

    10%10%

    10%

    10%

    60000

    4000025000

    20000

    15000

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    A.K.S. JARDINE 6

    60

    65

    70

    75

    80

    1 2 3 4 5

    Age of Trucks (years)

    EAC - $$ (Thousands)

    DATA ANALYSIS:Equivalent Annual Cost vs Age of Trucks

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    A.K.S. JARDINE 7

    Parks & Recreation Department: Dump Trucks

    In this case, optimal replacement age is after 7 years of operation

    Determining Optimal Replacement Age for Municipal Dump Trucks

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    A.K.S. JARDINE 8

    A Further Example:

    In this case, optimal replacement age is after 5 years of operation

    Determining Optimal Replacement Age for 4x4 Pick-up Trucks

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    A.K.S. JARDINE

    By: Cheung- Ki Derek Siu Monique Ka Yee Ho

    Optimizing Economic LifeDecisions for a Bus Fleets

    Municipal Bus Fleet

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    A.K.S. JARDINE 10

    Utilization Trend Curve

    Usage(km

    )

    Bus Number

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    A.K.S. JARDINE 11

    Equivalent Annual Cost (EAC)

    Eq

    uivalentAnnualCo

    st($/year)

    Year of Service

    Minimum EAC in year 13

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    A.K.S. JARDINE 12

    Interpretation of Results

    The optimal solutions (13 years) correspondingEAC is between $116,000 and $125,000.

    The current replacement policy (18 years) has acorresponding EAC between $120,000 and$129,000.

    Therefore, the potential cost savings are about$216,000/year (= $4,000 54 vehicles)

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    A.K.S. JARDINE 13

    Caterpillar 992D Wheel Loader

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    A.K.S. JARDINE 14

    (Years)

    R A-Sp,T A-Sn A-Sn

    0 1 2 T-1 T 1 2 n-1 n n+1 n+2 n-1 2n

    Cp,1 Cp,2 Cp,3 Cp,T Ct,1 Ct,2 Ct,3 Ct,n Ct,1 Ct,2 Ct,3 Ct,n

    Today

    Cash Flows Associated with Acquiring NewEquipment at Time T

    Repair vs. Replace

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    A.K.S. JARDINE 15

    The Result

    Purchase price: $ = $ 1,083,233 (Unit operational)

    Rebuild Cost = $ 489,970

    Change-over time to new loader, T

    T = 0 T = 1 T = 2 T = 3

    Overall

    EAC ($)

    449,074 471,725 459,319 450,217

    Minimum

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    A.K.S. JARDINE 16

    The Life Cycle Cost Iceberg

    Source: B.S. Blanchard and W.J. Fabrycky, Systems Engineering and Analysis, Prentice Hall, 1990