It is not possible to put a definitive timescale on when an article will be published as there are many aspects in the process which are unpredictable. For example, although we try to limit the review period as much as possible we are highly dependent on the availability of reviewers and the time they are able to allot to each review, and therefore for a full research article the review process can typically take from 3 to 6 months.
We do publish some indicative information regarding the process for each journal on the journal's springer.com homepage under the description details. See the left hand column for an example of journal metrics listed below: