In this paper we investigate two approaches to the aggregation of the Luenberger productivity indicator. Our first approach imposes allocative efficiency of every observed input-output vector with respect to the technologies in every time period. Our second approach only imposes allocative efficiency of observed input-output vectors with respect to their contemporaneous technologies. This approach utilizes the superlative index number approach pioneered by Diewert (1976) and applied to directional distance functions by Balk (1998).