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MTIN is based on 3mins delay or causing cancellation. As you say, TRUST generates a TIN after a 3min delay - these are then allocated to root causes (in very simplistic terms, infrastructure, fleet, operations etc etc). MTIN is therefore the total mileage run for a fleet divided by the number of TINs assigned to fleet technical issues.It is - but let’s be sure we’re not crossing wires here, a TIN - Trust Incident Number - is given to any delay of over 3 minutes; not just rolling stock tech issues.
MTIN - Miles per Technical INcident (sic) is the number of miles operated by a rolling stock fleet divided by the number of “casualty” technical events - technical issues or similar that cause 5 minutes delay or a cancellation. It might even be more than 5 mins but it definitely isn’t less.
Reliability was measured as MP5MD (miles per 5 minute delay) until a few years ago, when it was switched to using the TIN data (i.e. 3 minutes).