During the summer schedule (as of end of March-2017) Austrian Airlines increases the number of flights from Lviv.
Austrian Airlines will also have 7 weekly flights from Lviv (departure time at 16:00) plus 3 additional night flights per week departing at 5:10. 

Additionally, Austrian Airlines increases number of flights between Vienna and Odessa and from June will offer 7 weekly flights departing from Odessa at 15:30 and 3 additional night flights with departure at 04:30.

With such great schedule and additional night flights passengers of Austrian Airlines will get an excellent connections to North America and Europe.