There are many object instances in a pool.

New ones are created every day at a constant rate.

Let us pick one randomly from the pool: object A.

At time T = 0, a request submission process checks whether object A exists in a valid state, and if it does, submits the request

Let us say the request takes time T+X to reach an operator, who needs to package up object A and ship it out

While the request is travelling, there is a chance that a separate process which invalidates the objects (after they have aged for a defined period Z after creation), might invalidate object A, such that the aforementioned operator’s action to package object A will fail at time T+X because the object has been rendered invalid by this independent process

Question: how much ‘more of a chance’ is there of an operator action failure on object A if the timeframe for the request to reach the operator is extended to say T+Y, where Y>X?