Best design for running multiple processes?

I'd like to run parallel processes in rstudio but all within the same directory using the same source data and exporting to the same output folders. I currently have a project set up in the project directory. And multiple (very similar) scripts for the separate processes. My question is, if I open the single project within multiple rstudio sessions, and run one of the scripts in each session, will these separate environments operate independently of one another or is there a better design I could/should use for running parallel processes in this situation?