Kohlschreiber outlasted his opponent with a gritty display. With both players holding serve throughout the first set, Kohlschreiber finally found a forehand winner in the tiebreaker.
"It was a good first set and he never gave me any easy balls," said Kohlschreiber, who wrapped up the match with an ace. "At 29, I'm one of the older guys in the tour and I hope to adjust a few things in my game next year."
After breaking Dodig in just the second game of the second set, the German pressed his advantage and broke again in the fourth before wrapping up the match.
Troicki was stretched hard in a thrilling match that lasted 1 hour, 45 minutes.
"I knew it was going to be a tough match, especially since it was the start of the season. Bjorn played really well and it was a tight match indeed. I'm happy to finish my match before the New Year started," said Troicki, who had seven aces.
The $1.05 million tournament is missing many of the game's biggest stars with Ferrer and Gasquet the only top-10 players taking part.