The three ways I know of are: improving the cutting system, increasing the motor output, and improving cutting technique.
The first thing you need to do any of these is get a nice straight log and a helper with a stop watch. Start slicing cookies, have your timer shout out times as you cut. Try different cutting speeds, and techniques. Remember what works, and practice. You should be able to get 20% or so faster cuts than when you started, with no saw mods.
The next best way is to learn how to sharpen the chain. You should be able to get 10 or 20% over a new chain, just by hand filing it. If your not using square ground chain, that'll get you another 10% or so. Running a bigger sprocket can get you some more too, test every step on your log.
The best way to get more power from your saw is to open up the muffler, perhaps 15 to 50%. You'll need to richen up the highspeed jet, so make sure you have one before you start, otherwise you'll run too lean. If not you'll need to change jets, change carbs, or be real handy with a drill, to get the richer setting you'll need. Some carbs, (like those little huskys), with adjustable high speed jets barely richen up enough even if you open the jets all the way.
The idea is just make the outlet hole on the exaust as big as you can so the screen still covers the hole. Typically this is about 1.25 times the size of the exaust port at the piston. Just remove the exaust, remove the screen, use a round file or dremel type tool to enlarge the hole, reassemble, re-tune the carb, and go be amazed at the new power!
If your screen set-up is goofy like the ms200, just get a bigger screen and figure how to mount it. As discussed in other threads, the screen fundamentally reduces the size of the outlet hole, but is needed to keep crap out of the motor. So if removing the screen increases power, make the hole bigger and add a bigger screen. Although just running without a screen will work for those guys who don't much care about their tools. I have a couple older saws where the screens fell off, and I'm too lazy to replace them. On a newer saw or saws I personally own, the screens get checked regularly.
Sorry to have rambled on so, it's a big subject.