Restrained and Questioning It

Your parents can't tell you not to fall in love & date.
Honestly, it's up to you. And don't keep it from your parents too, you have to sit down and talked to them about it, about how it's your decision.

I would first ask yourself what you're exactly feeling. Are you really in love with one of your guy friends or do you just want to know what it's like to have this kind of relationship with a guy?
I myself am quite restraint (I did not have my first kiss untill I was nineteen) but sometimes I had these feelings that made me think I was in love. However, when I examined them more closely I realised I just wanted to know what it was like to have a romantic relationship with someone.

If you truly have feelings for a boy I would not cross your parents, that does not make the situation any better. Showing them that you're responsible and understand their point of view seems like a much better plan. Tell them how you feel and see if you can work something out. Maybe they would like to meet the boy first or maybe you can meet him at your place so that your parents are there too (in an other room hopefully)
From what you've told I can't really make out what you're parents would think of this, but as long as you keep calm, reasonable an respectfull they at least can't get mad at you.

If you find out that you just want to know what it is like to have a relationship, there is nothing wrong with that, in particulair when people around you do start dating.
Being patient is hard, but not impossible. I would not try to reason with your parents about this, I don't think they would really understand when you say 'Yes, I'm just curious about a relationship, can I date?'
There are lots of other things to do too. Go out with friend, immerse yourself in your studies and hobbies etc.
Sorry if this sounds lame, but perhaps those things will keep you from ripping your hair out.

Hope this helps, you can always message if you want to talk.