Of course, it is not always possible to avoid over-committing as sometimes the business calls for it.

Well that sounds like lazy acceptance of a bad situation for your team.

No mention of fighting for better terms for the team. If the business calls for over-committing you team, you or someone else in management have failed. Such a commitment may be indeed be unavoidable in that situation, but your job as a manager is to fight for your team to be additionally compensated for such an over-commitment.