You would need to be able to send an SMS message to your server. Your server would have to be set up to receive the SMS at a particular path where an application would then execute the proper commands to restart your process/service.
The only way I know how to do this is to use a short code (U.S.) or a long code (U.K.).
The only other way I could think to do it would be to somehow mail it to your server and configure the server to do x, y, and z once it receives a message from your handset. :?: