In Eclipse @memberOf (with capital O) does the trick for the outline (Ctrl+O shortcut). I use JSDoc mostly for the Eclipse outline, but I also use @author for humans :)
I also use @private on private functions.
IMHO JSDT is OK but not very helpful, it did not evolve much lately.
You should use an Eclipse JSHint plugin or use TypeScript with an Eclipse plugin (you can do refactoring but adds some complexity).