End-to-end delay refers to the time taken for a packet to be transmitted across a network from source to destination.
dend-end= N[ dtrans+dprop+dproc]
where
dend-end= end-to-end delay
dtrans= transmission delay
dprop= propagation delay
dproc= processing delay
N= number of links (Number of routers + 1)
Note: we have neglected queuing delays.
Each router will have its own dtrans, dprop, dproc hence this formula gives a rough estimate.