Efficiency characterizations in different DEA models

Abstract Relations of efficiency and non-efficiency for the same sets of DMUs (Decision Making Units) are developed for the Charnes, Cooper and Rhodes (CCR) and Barker, Charnes, Cooper (BCC) ratio models, as well as DEA Additive and Multiplicative Models. Surprisingly, additively efficient DMUs are not necessarily multiplicatively efficient. A geometric “stretching” phenomenon is identified for the latter case.