It is not suggested to use the eye drops to get rid of the redness. The redness may indicate that you are having problem in focus accurately. Maybe you need to wear eyeglasses. You should talk to your doctor first and have an eye exam.
The redness is caused by the eye strain after you use your computer. I won't suggest you use eye drops to get rid of it. I think the best way is to take regular breaks during using the computer, which can make your eyes relax and relieve from the eye strain.