What @FvD said. But besides that, remember that shinyapps.io , if you want someone else to be able to host your application in a scalable way, or Shiny Server Pro , if you want to return a Brilliant application with multiple R processes.
A brilliant server can certainly handle a lot of requests (we saw that one instance of Shiny Server gracefully handles up to a thousand simultaneous users) - and it had a lot of space for more, but, as described in @FvD, it all comes down to how much Well your R application scales.
One caveat here: there is a bit of difficulty to peek into an application like yours. If you write all your data in one. CSV file, then you cannot safely run multiple instances of the application at the same time (processes will overwrite each other). Instead, you might consider putting the results in a bunch of different CSV files that can later be combined, or you can use something like a relational database to really do it right. This issue is described in more detail here .
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