- Buying Duty Officer Packs in the Zen Store is the fastest (practically instant), but most expensive route.
- General Recruitment costs 1,000 Dilithium, but takes a day to get the reward. Also has a cooldown.
- Departmental Recruitment and Cultural Exchange Duty Officer assignments take two days, but are free. There is a cooldown for those as well.
If you're not in a rush, you can recruit 11 free Duty Officers at Star Fleet Academy. Should you get a critical success on the Cultural Exchanges, you can get two more per critical. For those on a budget, not interested in spending additional money, or whatever, this represents a great means to get Duty Officers for use on your ship, to donate to your Fleet, and more.
Federation players will find this useful resource at Star Fleet Academy, whereas Klingon players will go to the Klingon Academy. You'll find three different species at each offering Cultural Exchanges, and a personnel officer who can do the various departmental recruitment.