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Reliability Block Diagram · Chapter 6

Common Pitfalls

The mistakes seen in practice and the guards against them.

Block diagrams fail in a characteristic way: the arithmetic is right and the model is answering a different question from the one that was asked. Almost every entry below is a modelling error rather than a numerical one, which is why they survive review so easily; the numbers all add up.

PitfallWhat it looks likeThe guard
The schematic redrawnBlocks positioned like the plant, parallel pipes drawn as parallel logicTest every branch by function: if this block alone fails, does the system still meet the criterion?
One diagram, several criteriaDispatch, mission success and safe shutdown argued off the same drawingOne criterion per diagram, written in the title block
The unstated mission timeArchitectures compared on reliability, with no t anywhere on the pageR without t is not a result; put the mission in the figure caption
Redundancy assumed independentTwo identical units, same batch, same room, same maintainer, multiplied as if unrelatedA β-factor on every redundant group, and a sweep at 0, 0.05 and 0.1 reported with the answer
The shared support that is not a blockPower, cooling, control air, the operator, all outside the boundary and all assumed perfectThe boundary list is a list of claims; review it as one
A dormant block given a running rateA standby unit or a protection channel carrying λt instead of a probability of failure on demandDormant items carry PFD from their dangerous-undetected rate and their proof interval
The switch that was not modelledA standby pair credited with the perfect-switch formula because the switch is "simple"The start or changeover probability appears explicitly; below 0.958 in the worked example it costs more than it buys
Repair credited to a non-repairable modelAn RBD result quoted as availability, or as uptimeThe structure function has no way back from a failed block; availability needs a state model
Mixed units and clocksFIT on one block, per 10⁶ operating hours on another, calendar hours on a thirdOne declaration of unit, clock and mission time for the whole diagram, matching the prediction's
The bridge collapsed anywayA cross-connected structure approximated as two parallel trains because the tool only does series and parallelCondition on the cross element or enumerate; the approximation lost 0.6 points in the worked example
The block that appears twiceThe same physical item drawn on two paths and treated as two independent blocksOne item, one block; a shared item makes the two paths dependent, which is the opposite of what the drawing claims
MTBF taken from a redundant modelThe equivalent rate at one mission time quoted as the system's MTBFA redundant system has no constant rate; publish R(t) with its t
Phases folded into one drawingA mission with distinct phases modelled at the worst-case configuration throughoutOne diagram per phase, multiplied, with survival carried across
The optimistic starting stateEvery block serviceable at t = 0, on a fleet that dispatches with deferred defectsModel the dispatch state the operator actually allows, which is a second diagram

Two of these deserve a closing sentence each. Assumed independence is the deepest, because it is the only error that gets worse as the design gets better: every path added multiplies the independent term down toward the shared term, until the answer is entirely determined by the number nobody measured. A model whose result is dominated by β is not a precise model with an uncertain input; it is a statement that the separation, not the redundancy, is the design.

And the criterion drift is the slowest. A diagram drawn for one success criterion gets reused for the next question, then quoted in a report, then cited in a case, and by then nobody can recover which of the plant's several missions it described. The guard is boring and works: the criterion sentence lives in the diagram, not in the email that requested it.


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