Author:

Keywords:

Science & Technology, Technology, Operations Research & Management Science, Directional distance function, Enumeration, Free disposal hull, CRS, NDRS, NIRS, TOTAL FACTOR PRODUCTIVITY, DATA ENVELOPMENT ANALYSIS, TECHNICAL EFFICIENCY, COST-FUNCTIONS, DEA, TECHNOLOGIES, PERFORMANCE, CAPACITY, INPUT, directional distance function, enumeration, free disposal hull, 01 Mathematical Sciences, 08 Information and Computing Sciences, 15 Commerce, Management, Tourism and Services, Operations Research, 35 Commerce, management, tourism and services, 46 Information and computing sciences, 49 Mathematical sciences

Abstract:

© 2018 Springer Science+Business Media, LLC, part of Springer Nature Computing directional distance functions for a free disposal hull (FDH) technology in general requires solving nonlinear mixed integer programs. Cherchye et al. (J Product Anal 15(3):201–215, 2001) provide an enumeration algorithm for the FDH directional distance function in case of a variable returns to scale technology. In this contribution, we provide fast enumeration algorithms for the FDH directional distance functions under constant, nonincreasing, and nondecreasing returns to scale assumptions. Consequently, enumeration algorithms are now available for all commonly used returns to scale assumptions.