In The Introvert Blogs, The Hermit recommends the following strategy:

If you are an introvert that is starting to feel overwhelmed with all that comes with the holidays, allow yourself some time alone to regroup. Go to Starbucks with a good book and get a cup of coffee and read, go to the gym and run on the treadmill for an hour - ignore everyone, go to a movie by yourself, or call a friend who you really, really enjoy and invite him/her out for a coffee or a beer or a bite to eat. You don’t have to go to every party (no, you don’t), and you can take a break from the cookie baking. If you are an introvert and a bit lonely this time of year, spend a little time reaching out to people you are comfortable with or help out at the nearest soup kitchen. You’ll have some of that human interaction that we sometimes want and you’ll feel better.

Wishing you a very PEACEFUL holiday season!