An organisation has more open problems than it can analyse. What does the problem management practice say about how to proceed?

ITIL 4 Foundation, objective 7. Seven ITIL practices in detail hard

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The options

Not correct Problems should be prioritised in the same order as the incidents that revealed them

Incident priority reflects urgency of restoring one occurrence. Problem priority reflects the ongoing risk from the cause, which may be quite different — a low-priority incident can reveal a high-risk problem.

Not correct Every identified problem must be analysed and resolved before any new problem is accepted

There is no such rule, and it would be unworkable. Problem management is a risk-based activity, not an obligation to clear a queue.

Correct Problems should be prioritised for analysis based on the risk they pose, and it is accepted that not all problems will be resolved

Correct. Problem control prioritises analysis by risk, and the practice explicitly accepts that some problems are not worth resolving and are instead managed as known errors with workarounds.

Not correct Unanalysed problems should be closed and reopened only if further incidents occur

Closing a problem that is still causing risk loses the record and the trend evidence. The practice deprioritises rather than discards.

Why

Problem management is explicitly economic. Analysis capacity is finite, so problems are ranked by risk, and the possible outcomes include leaving a problem unresolved as a documented known error when a permanent fix would cost more than the incidents it prevents.

Where this comes from

Cited
ITIL 4 syllabus clause 7

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