NDLS has world's largest interlocking system, that itself explains the capacity to handle trains arriving and departing from/to different directions. I have seen 4-5 movements at the same time couple of times. Once saw Howrah Rajdhani (Platform 14 or 15), Mumbai Rajdhani (Platform 3), Amritsar Shatabdi (Platform 1) departing in different directions while Paschim express (Platform 5) and some MEMU from Old Delhi side (Platform 8 or 9) arriving at the sametime. It was winter evening, some of them were delayed arrival/departures.