Try influenced - having its development(procedures, tasks, etc.) , behavior or thought changed or affected

Influence - to affect or change how something or someone develops, thinks or behaves.

In your case the parcel delivery was influenced by the road construction.

(Edited, concerning the comment)

Try supervene -

Occur as an interruption or change to an existing situation, to happen in a way that interrupts, stops, or greatly changes an existing situation

Also try influenced - having its development(procedures, tasks, etc.) , behavior or thought changed or affected

Influence - to affect or change how something or someone develops, thinks or behaves.

In your case ** Deliveries which are complete, pending or supervened. **