This is a relatively complicated medium to high level topic.

If you've got the time watch this VOD review by Wickd of Jax vs a Yorick as he explains some of the thought process around pushing early.

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One way to think about it is if you are Top and your jungler starts Bot side then you don't want to push your lane early because your jungler is going to hit level 3 while they are near to your lane.

By holding back on pushing the wave this gives you another tool for setting the course of your lane... Read More

I am but an egg when it comes to minion wave control. These are some my observations thus far.

Under normal circumstances when your minion wave collides with the enemy minion wave this is the formation that results.

M=Melee
C=Caster
N=Cannon

CCC
MMM
---
MMM
CCC

or

CCC
N
MMM
---
MMM
N
CCC

There will be a gap between where the melee minions line up to fight each other and the ranged minions line up, unless the minions are reacting to your presence as they will preferentially target champions if they are in range.

So, one sure fire method to get your lane... Read More