An advanced computerized execution system is like a really smart and fast computer program that helps people buy and sell things on the stock market. It works with lots of information about how much things cost and how many people want to buy or sell them.
Imagine you wanted to buy a toy from a store, but lots of other kids also want to buy that same toy. You might have to wait a long time for your turn to buy it, and sometimes the store might run out of toys before it's your turn. This is kind of like how it used to be on the stock market, where people would call and shout to buy or sell things.
But now, with the advanced computerized execution system, everything happens really fast and automatically. It knows how much people want to buy or sell things, and it can figure out the best time and place to do it. It helps people buy and sell things quickly, so they don't have to wait in line for a long time like in the toy store example.
Overall, the advanced computerized execution system is a really helpful computer program that makes buying and selling things on the stock market much faster and more efficient for everyone involved.