MODELING INPUT ALLOCATIVE EFFICIENCY VIA DISTANCE AND QUASI-DISTANCE FUNCTIONS

Using Directional Distance Functions to Determine Ranking Ranges in Cross-efficiency Evaluations

Scale efficiency in Danish agriculture: an input distance–function approach

This paper presents the results of an analysis that predicts the scale efficiency of individual farms and analyses the differences in scale efficiency over time and between farms. Representative farm account data for 1985–2006 are used, and the study applies stochastic frontier analysis using an input distance–function approach. The results show that pig farms have improved their input scale ef...

The allocative efficiency measure by means of a distance function: The case of Spanish public railways

Benefit and Distance Functions

We explore the relationship between R. W. Shephard's input distance function (``Cost and Production Functions,'' Princeton Univ. Press, Princeton, 1953) and D. G. Luenberger's benefit function (J. Math. Econ. 21 (1992a), 461 481). We point out that the latter can be recognized in a production context as a directional input distance function which can exhaustively characterize technologies in bo...

Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions

In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided to justify the validity of our results.