You can take more frequent breaks, even 1-2 minutes extra will help. This allows your eyes to produce a little bit more tears for the day.
Keep eye drops handy. There are really good over the counter drops, we sell Retain MGD in our office and haven't had complaints yet.
There are drops specifically for Dry Eye Syndrome that you would need an actual medication for. Our biggest one we prescribe is Xiidra but Restasis also works.
Getting a pair of blue light filter lenses, even if you don't wear glasses will help relieve eye strain as well. Don't get just whatever cheap ones are available, make sure they're of the highest quality for your occupation. It's worth every penny.
Since you can't reduce your time on the CPU, an eye examination is recommended. You may need computer glasses with a blue blocking anti-glare.
Hope that helps.
Vinnie Tieu, O.D.
Regarding eye exercises: occasionally, vision therapy can be helpful, but it depends on what your initial problem is. If your eyes have a difficult time teaming together or your focusing system doesn't work alongside your muscle system, VT could be helpful. The main answer comes down to seeing your optometrist who can help
tailor-recommend the best treatment for YOUR visual system.