Choose output location when creating network analysis solvers
When adding a new network analysis layer to the map, enable the user to select an output location and name. Currently network analyst uses the default project geodatabase as defined in environments along with a randomized alphanumeric name with no option to change, which is not always desirable...
...nor is this consistent with other tools in the application, which do preview/allow edits to output location and name on creation. You can manually rename it, but as far as I know, you can't move it -- cutting and pasting just makes a copy, and you can't change the source of the analysis layers.
Most tutorials I've seen push the user through the Analysis tab > Network Analysis > New Network Analysis Type, but I've found that even the GP tools such as Make Service Area Analysis Layer do not have any control for output location.