Graph productivity change measure using the least distance to the pareto-efficient frontier in data envelopment analysis. (October 2017)

• Record Type: Journal Article
• Authors: Aparicio, Juan; Garcia-Nove, Eva M.; Kapelko, Magdalena; Pastor, Jesus T.
• Is Part Of: Omega. Volume 72(2017:Oct.)
• Page Start: 1
• Page End: 14
• Publication Date: 2017-10
• Subjects: Data envelopment analysis -- Productivity change -- Closest targets -- Least distances -- Principle of Least Action -- Graph measures; Management -- Periodicals; 658.4005
• DOI: 10.1016/j.omega.2016.10.005
• Languages: English
• ISSNs: 0305-0483

Abstract

Abstract: This paper proposes a new method to measure productivity change of decision making units in the full input-output space. The new approach is based on the calculation of the least distance to the Pareto-efficient frontier and hence provides the closest targets for evaluated decision making units to reach the strongly efficient frontier with least effort. Another advantage of the new methodology is that it always leads to feasible solutions. The productivity change in the new approach is operationalized as a Luenberger-type indicator in the Data Envelopment Analysis framework and it is decomposed into efficiency change and technical change. The paper empirically illustrates the new method using recent data on the Spanish quality wine sector. Highlights: We revise the literature on least distance measures in DEA. We note that least distances has not been used in connection with productivity change. We provide a new Luenberger indicator based on least distances. The Luenberger indicator is decomposed into technical and efficiency changes. We empirically illustrate the new method using data on the Spanish wine sector.