This contribution establishes, from a theoretical viewpoint, the relations between the Malmquist productivity indices, that measure in either input or output orientations, and the Luenberger productivity indices, that can simultaneously contract inputs and expand outputs, but that can also...

Boussemart et al. (2009, 2010, 2018) propose to identify a global α-returns to scale that allows to minimise the inefficiency of the production set. This paper extends this notion to the concept of specific α-returns to scale. In such case, it is possible to identify the impact of each input...