The fastest way to travel to Chios in summer is a direct (charter) flight. On Monday and Thursday there is such a flight from Amsterdam (Transavia). The flight lasts 3,5 hours. From Brussels Thomas Cook Airlines will bring you to Chios, also on Monday.
Also scheduled flights with a stopover in Athens or Thessaloniki are possibilities. Departures, for example, from Amsterdam, Dusseldorf or Brussels. Sometimes it is difficult to travel to Chios in one day, because there are no domestic flights that day anymore available.
Who has time enough, can also travel by car. First with the ferry from Italy (Venice or Ancona) to Patras and then with another ferry from Piraeus to Chios. In summer, the connection of Lavrio with Limani Meston (the port of Mesta in the south of Chios) is a nice alternative.
Also attractive to do is first a flight to Lesbos and then the last part of the trip with the ferry to Chios.
We give you - if desired - more detailed information.