What are delay analysis methods?

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Time Impact Analysis is not the only delay analysis method. Let's have a look at the six delay analysis methods under Delay and Disruption Protocol by SCL (Prospective and Retrospective)
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[@sudhakarnakk1]

Whether TIA is used when the project is completed? or Time Slice Windows Analysis?

[@osamasaad428]

You typically need a retrospective analysis in this case. TIA is commonly known as prospective method but it can be used in a retrospective environment too as per AACEI RP 29R-03. So both methods can be used.

[@dude122081]

How about if i am using the mitigation plan or fast tracking method wherein I am reducing the impact of delay (e.g. overall duration was 60d but reduce to 45d). Can i use the baseline schedule to do that?

[@osamasaad428]

Schedule update is typically used to mitigate delays, not a baseline. At the same time, we want to be careful about how we address recovery measures in the project because it can compromise the whole entitlement.