Use tornado's static file handler to replace SimpleHTTPServer in Python standard library, with this you can simply type only one command and run an HTTP server on the port you desired, the default port 8000 is as the same as the SimpleHTTPServer provided.
python setup.py install
$ python -m SimpleTornadoServer
Serving HTTP on 0.0.0.0 port 8000 ...
the default port is 8000, or
$ python -m SimpleTornadoServer [PORT]
Also, you can use SocketServer.ThreadingMixin and BaseHttpServer.HTTPServer for the ability of concurrency.
