I don't believe there is any way to speed up the first stage of processing (i.e. the first 40 months).
For the second stage, the number of months displayed reflects 80% of applications completed. This means that some applications are processed somewhat faster. I would assume that applications are processed faster if the paperwork is complete and there are no problems with the police certificates, medical, background checks, etc. Hopefully others will comment if they have helpful information to provide.