When the second millenium (‘Dwarpa Yuga’) overlapped the third (‘Treta Yuga’), the great sage Shrila Vyasadeva was born to Parashara Muni in the womb of Satyati, the daughter of Vasu (the fisherman).” (Shrimad Bhagavatam 1:4:14.).
In Shrila Vyasa’s childhood he was called Krishna, because of his dark complexion, and because he was born on an island at the confluence of the Sati and Mati Rivers he was called Dwaipayana. After dividing the Vedas he got the name Veda Vyasa.