Level of Repair Analysis · Chapter 4

Worked Example

The method applied end-to-end on a concrete system, with numbers.

The same fleet as the task analysis module: 36 medium transport aircraft, 600 flight hours each per year, two environmental control system packs per aircraft, three main operating bases and one depot, supported for fifteen years. Money is discounted at 7 per cent, which over fifteen years gives a capital recovery factor of 0.1098. Every value is an illustrative teaching figure.

The support structure is the ordinary three-level one. O level is the flight line at each of the three bases, which removes and replaces items and does nothing else to them. I level is one workshop per base, three in total. D level is a single depot. Seven items are candidates, and for each one the question is the same: discard it on failure, repair it at I level, or repair it at D level. Nothing in this system is repaired at O level, which is the normal position for line-replaceable items and is a decision the maintenance concept made before the analysis started.

Step one, the constraints

Four of the seven carry a constraint that is recorded before any cost is computed:

ItemConstraintEffect
Air cycle machineRotor balancing and a containment test are required after any bearing changeDepot only
Pack control unitThe software load and calibration tool is controlledDepot only
Flow control valveFlight-safety item: release after overhaul needs an approved test benchDepot only
Ozone converterSpent catalyst is a controlled wasteDisposal routed through the depot

Recording these first is not bureaucracy. It stops the analysis producing a cheapest answer that the support policy will refuse, and it makes the price of each constraint visible, which is the point of the last section of this chapter.

Step two, the money

For each surviving option, the annual cost of owning the capability, not the cost of a repair. That distinction is the whole method:

ElementDiscardRepair at I levelRepair at D level
Replacement units boughtdemand × unit pricenonenone
Repair labour and materialsnonedemand × (materials + shop hours × rate)same, at the depot rate
Transportnonenonedemand × two-way freight
Pipeline sparesprocurement lead timeshort turnaround, small pipelinelong turnaround, larger pipeline
Test equipmentnoneone set per base, times threeone set
Calibration and supportnoneper site, every yearone site
Trainingnoneper siteone site
Technical datanonea repair manual per levela repair manual per level

The pipeline term follows from the turnaround: an item away for repair has to be replaced on the aircraft by one from stock, so pipeline units ≈ demand × turnaround ÷ 365, plus a safety level. A workshop with a seven-day turnaround needs about a fifth of the stock a depot with a thirty-six-day round trip does, which is the one place where the base workshop wins on money.

The answers

Seven items and three answers between them. Two are discarded, four are repaired at the depot, one is repaired at the base workshops, and one of the four is at the depot only because a constraint put it there.
Seven items and three answers between them. Two are discarded, four are repaired at the depot, one is repaired at the base workshops, and one of the four is at the depot only because a constraint put it there.
ItemRemovals a yearUnit priceDiscardI levelD levelAnswer
Air cycle machine2.4$148,000$487knot offered$184kD
Primary heat exchanger1.3$41,000$78knot offered$61kD
Pack control unit5.2$22,000$142k$150k, screened out$72kD
Flow control valve4.1$9,400$50k$26.5k, screened out$29.7kD, by constraint
Ram air door actuator4.8$6,800$41k$30.0k$30.7kI
Ozone converter1.7$12,500$29knot offered$48kdiscard
Temperature sensor6.5$850$6.9k$28k$14kdiscard

The two markers in the workshop column mean different things, and the difference matters later. Not offered means no intermediate-level option was ever built: the work, or the waste it leaves behind, needs a rig, a facility or a release authority that no base workshop is going to hold, so there was nothing to cost. Two of the four constraints in step one are of that kind, and neither of them can be given a price. Screened out means an option a workshop could realistically have held was costed anyway and then removed by one of the other two constraints, which is the only way the price of a constraint can be stated at the end of the chapter.

Three of those rows are worth reading closely.

The temperature sensor is not a close call. Repairing an $850 item at the depot costs $14,000 a year against $6,900 to throw it away, and repairing it at three workshops costs $28,000. The item is not the point: the test equipment, the training and the manual are, and they cost the same whether the item is worth $850 or $85,000.

The ram air door actuator is a two per cent decision. $30,000 against $30,700 is not a result, it is a coin toss dressed as arithmetic. The honest report says the two options are indistinguishable at this fleet size and recommends the one that is easier to reverse, which is usually the depot, because a capability at one site can be extended to three later and three sites cannot be un-bought.

The pack control unit is the case for the depot twice over. The controlled software load and calibration tool removes the workshop option before any cost is computed, and the workshop option was the most expensive of the three anyway: triplicating a $240,000 tester to handle five removals a year is exactly the mistake a level of repair analysis exists to prevent. When the constraint and the arithmetic agree, the constraint costs nothing, and that is worth reporting too.

Where the money goes

The pack control unit at the depot, $72,400 a year. Test equipment and its calibration are 53 per cent of it, technical data 14 per cent, pipeline spares 13 per cent, and the repairs themselves, materials plus labour and transport, 20 per cent.
The pack control unit at the depot, $72,400 a year. Test equipment and its calibration are 53 per cent of it, technical data 14 per cent, pipeline spares 13 per cent, and the repairs themselves, materials plus labour and transport, 20 per cent.

Every line comes from a stated input and the capital recovery factor at the top of this page, so the column can be re-derived rather than believed. One-off purchases are annualised by multiplying by CRF = 0.1098; the recurring lines are already annual.

ElementWhere it comes fromPer yearShare
Test equipment, annualisedone depot set at $240,000 × 0.1098$26,35236%
Calibration, training and supportrecurring, at the one depot site$12,00017%
Technical dataa manual at O and at D, $45,000 each, × 0.1098$9,88214%
Pipeline spares4 units × $22,000 × 0.1098$9,66213%
Materials5.2 repairs × $1,500 of parts$7,80011%
Labour and transport5.2 repairs × $1,285$6,6829%
$72,378

The pipeline count is the one line worth showing in full, because it is where the rule stated above meets a real number: 5.2 × 36 ⁄ 365 = 0.51 units are in transit or on the bench on an average day, which rounds up to one, and each of the three bases holds a safety spare so an aircraft is not grounded while its unit is away. Four units, not the eight that an unexamined depot means lots of stock instinct would buy. On this item the pipeline is the smallest of the four capability lines, which is the opposite of what the long depot turnaround suggests, and the reason is simply that 5.2 removals a year is not many.

Four dollars in five buy the capability, not the repairs. That is why a level of repair analysis is a procurement decision rather than an engineering one, and why arguing about shop labour rates is almost always arguing about the wrong number.

Where the boundaries are

The flow control valve at seven different annual removal rates. The repair lines barely move because they are mostly fixed cost; the discard line keeps climbing with demand, and the crossing is the decision.
The flow control valve at seven different annual removal rates. The repair lines barely move because they are mostly fixed cost; the discard line keeps climbing with demand, and the crossing is the decision.

For the flow control valve, holding everything else fixed:

Removals a yearDiscardWorkshopsDepotCheapest
0.5$7.0k$25.1k$24.8kdiscard
2$25.0k$25.7k$28.4kdiscard
4.1, this fleet$50.2k$26.5k$29.7kworkshops
8$97.0k$28.0k$34.7kworkshops
32$385.0k$42.8k$59.7kworkshops

The discard column is not demand times the unit price, and it is worth saying why before the numbers are read as one. Every removal buys a $9,400 valve and then pays the freight in, the disposal of the one it replaced and the stock the ninety-day procurement lead time forces the fleet to carry, which comes to about $12,000 for each removal a year. Under all of that sits one safety spare, about $1,000 a year, and that is the only part of the discard option that does not move with demand.

The break-even is about two removals a year. Below it, buying a new valve is cheaper than owning the ability to fix one. A fleet a quarter of this size would discard the same item, with the same engineering, at the same price.

The same three options against unit price at five removals a year. The crossing sits near $3,900, and it is a property of the support system rather than of the item.
The same three options against unit price at five removals a year. The crossing sits near $3,900, and it is a property of the support system rather than of the item.

Holding demand at five a year and sweeping the unit price gives a crossing near $3,900: below it discard, above it repair. Both boundaries move with the number of sites, the price of the tester and the length of the pipeline, which is why the answer belongs to a fleet and a support concept rather than to a part number.

What the constraints cost

Three items were sent to the depot by a constraint rather than by the arithmetic, and only one of the three has a price. The pack control unit's workshop option was costed before it was screened out and was the most expensive of the three, so that constraint agreed with the economics and cost nothing. The air cycle machine never had a workshop option to cost, so its constraint cannot be priced at all, and saying so is more honest than reporting it as free. For the flow control valve the constraint had a price:

$29,672 at the depot − $26,500 at the workshops = $3,172 a year

That is the price of the certification constraint, and stating it is more useful than complaining about it: $3,172 a year, or about $29,000 over the support life, is what an approval programme for the base workshops would have to beat. A constraint that is recorded but never costed is a decision nobody can revisit.

Item by item against a blanket policy

PolicyAnnual cost
Discard everything$834k
Repair everything at the depot$440k
Decide item by item$413k

The item-by-item answer beats the better blanket policy by six per cent, and it beats the worse one by half. The six per cent is the usual size of this prize: the large saving comes from not doing the obviously wrong thing to the expensive items, and the analysis earns the rest of its keep by finding the two or three items where intuition is wrong.

One level down

The pack control unit is repaired at the depot, and every one of its four boards is thrown away there. Quadruple the fleet and two of the four flip to repair, which is the same mechanism one indenture down.
The pack control unit is repaired at the depot, and every one of its four boards is thrown away there. Quadruple the fleet and two of the four flip to repair, which is the same mechanism one indenture down.
BoardDemand a yearUnit priceDiscardRepairThis fleetFour times the fleet
Power supply board1.76$2,400$5.7k$17.2kdiscardrepair
Processor board1.45$5,100$10.5k$17.3kdiscardrepair
I/O board1.19$1,800$3.2k$16.9kdiscarddiscard
Chassis and wiring0.78$900$1.2k$16.7kdiscarddiscard

A repair level is not inherited. The unit is repaired and its contents are discarded, which sounds contradictory and is the normal answer: the depot's repair of the unit is the replacement of a board. What the parent's decision fixes is where the sub-item decision happens, and what the sub-item decision fixes is what the depot has to stock.

What the answer commits the programme to

DecisionConsequence
Four items repaired at the depotOne tester of each type, one training pipeline, four repair manuals
One item repaired at the base workshopsThree sets of a modest rig, three trained teams, one manual, a short pipeline
Two items discardedNo capability at all, and a procurement contract with a 90-day lead time
Four boards discarded at the depotDepot stock for four board types, and a disposal route

Every line is a commitment made years before the first repair and expensive to reverse. That is the reason to redo the analysis when the fleet size, the usage, the prices or the observed failure rates move, and the reason nobody enjoys doing it.


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