Board Thread:General Discussion/@comment-124.214.183.164-20160123232430/@comment-26091666-20160124005852

Well leaving your computer either on or off doesn't really matter all that much other than the exception of having and using her Akashi's Anchorage repair but even at that only specific cases may apply.

You'll need to work your way through those quests, most of it just depends on RNG purely. If you spend more time off KC (even if you have your computer and still logged into KC), you may also want to consider unlocking more expeditions because they too in turn help you gain your resources in the long run.