Take a look at figures 5 and 6 - it's a bit hard to parse but you'll get a lot out of them. There are four different scenarios presented, and each has its own

Take a look at figures 5 and 6 - it's a bit hard to parse but you'll get a lot out of them. There are four different scenarios presented, and each has its own optimal strategy. In general, their optimal model uses less caffeine overall, and seems to use it in proportion to expected sleep restriction as opposed to using it widely. They cite research on the difficult in recovering from large caffeine loads as their motivation for reducing overall caffeine intake.