Multi-output efficiency with good and bad outputs

Multi-output profit efficiency and directional distance functions

“…The associated program has a structure that is formally analogous to the one of (LP-1) that we present below. 9 Given this direct similarity, and for the sake of compactness, we do not report it here.…”

“…In what follows, we will apply this shadow 8 See, for example, Cherchye et al (2007) for a detailed discussion of the benefit-of-the-doubt interpretation of common DEA models. 9 The only difference between the linear program for P E C t and the program (LP-1) for P E C t involves the inclusion of the price information contained in the data set S (whereas (LP-1) applies to shadow pricing). This price information is easily included in the form of linear constraints, which obviously does not interfere with the linear programming nature of (LP-1).…”

A joint-inputs Network DEA approach to production and pollution-generating technologies

“…142 2. Related approaches 143 In this section the two approaches on which the present paper 144 builds on, namely Murty et al (2012) and Cherchye et al (2015), 145 are reviewed. As regards the notation, let…”

“…136 The structure of the paper is the following. In Section 2, the 137 required notation and the approaches proposed in Murty et al 138 (2012) and Cherchye et al (2015) are introduced. Section 3 pre-139 sents and discusses the proposed approach.…”

Nonparametric Production Technologies with Multiple Component Processes

“…A different approach is explored by Cherchye et al (2013Cherchye et al ( , 2015Cherchye et al ( , 2016) who treat component processes as different technologies that use the same joint inputs. It is assumed that the latter cannot in principle be split between the processes because each process simultaneously uses all joint inputs.…”