Centralisation, as Taleb might put it, ensures an organisation becomes fragile. It robs it of the ability to grow knowledge, which eventually makes the organisation dumber and less able to adapt to a changing environment.
So, despite what the spreadsheets might say, outsourcing and centralisation significantly harm the organisation as a whole. It adds a cost rather than removes one, ensuring the organisation is less agile and adaptable.
Source: Outsource & Centralise by