We have also created two reading aids: a symbol list and a mindmap of the proof. I now make these available to you and if you decide to read our revised manuscript, I hope you find these useful. You don’t need them (the manuscript is self-contained) but these can be convenient.
Here is a symbol list, summarizing most of the notation we used in the manuscript. Please be aware that this document is a work document, and may contain mistakes.
Here is a mindmap of the proofs in the manuscript. The connections indicate roughly which results rely on which other results. Usually, I looked at whether the results referenced, relied on, or used each other. This map was manually constructed and so it may contain mistakes.
Jaron Sanders received in 2012 M.Sc. degrees in Mathematics and Physics from the Eindhoven University of Technology, The Netherlands, as well as a PhD degree in Mathematics in 2016. After he obtained his PhD degree, he worked as a post-doctoral researcher at the KTH Royal Institute of Technology in Stockholm, Sweden. Jaron Sanders then worked as an assistant professor at the Delft University of Technology, and now works as an assistant professor at the Eindhoven University of Technology. His research interests are applied probability, queueing theory, stochastic optimization, stochastic networks, wireless networks, and interacting (particle) systems.
We have submitted Optimality gaps in asymptotic dimensioning of many-server systems, and it is currently under review. This is joint work between Jaron Sanders, Sem Borst, Johan van Leeuwaarden, and Guido Janssen. The arXiv preprint can be obtained via this link.