It’s very easy, apparently, to set up your own server to run Shiny apps (Shiny is a web based method for interacting with R code). If you have set up Amazon Web Services, then it is even easier. Here is a detailed account of how to do this. Once I get my own Shiny server going, I will let you know.
Kimberly Coffey. Launch a Shiny App on Your Own Server in 4 Step. R Blog, February 3, 2016. Available in html format.