Start keeping it simple and stop losing socks from now on. By giving each member of the family their own mesh bag to keep in or near their hamper for socks you can cut down several minutes of sorting.
I found these great inexpensive bags that cost only $3.29 each (& free shipping). Just use a Sharpie marker to write a name on each one. There you have it! Throw the bag in the washer, then in the dryer, then hand the clean bag of socks back to the rightful owner.