Which humanitarian operation aimed to establish order in Somalia?

The operation aimed at establishing order in Somalia is Operation Restore Hope. This humanitarian mission began in December 1992 and was conducted by the United States as part of a larger United Nations operation. The primary objective of Operation Restore Hope was to facilitate the delivery of food aid during a severe famine in Somalia and to restore peace and order amidst ongoing civil conflict.

The situation in Somalia was dire, with widespread starvation and violence, leading to the need for international intervention. The U.S. military's involvement was intended to protect aid workers and ensure that humanitarian assistance could reach those in need.

Other operations mentioned have different objectives and contexts. Operation Allied Force was primarily focused on military intervention in the Balkans to prevent ethnic cleansing during the Kosovo War. Operation Provide Relief involved delivering humanitarian assistance during a crisis but was not specific to establishing order in Somalia. Operation Impressive Lift was related to the evacuation of U.S. citizens and others from an unstable situation, but it does not pertain to the direct establishment of order or an extensive humanitarian mission in Somalia. Thus, the answer is distinctly identified with the intentions and goals of Operation Restore Hope.