ScholarLens Back to search
1996•Management ScienceRequires access

DEA on Relaxed Convexity Assumptions

Peter Bogetoft

Open publisher page 141 citations

Abstract

In a recent paper, Petersen (Petersen, N. C. 1990. Data envelopment analysis on a relaxed set of assumptions. Management Sci. 36 305–314.) proposed to relax the convexity assumptions invoked in traditional Data Envelopment Analysis (DEA). Unfortunately, the new approach is not consistent with the relaxed assumptions. Also, the efficiency evaluations in input and output spaces are based on different technologies assumptions. The aim of this paper is to clarify which assumptions are actually involved and to develop modifications such that the input and output based measures are consistent. In effect, a family of DEA methods based on relaxed convexity assumptions is identified.

About this research paper

What this paper is about

In a recent paper, Petersen (Petersen, N. C. 1990. Data envelopment analysis on a relaxed set of assumptions. Management Sci. 36 305–314.) proposed to relax the convexity assumptions invoked in traditional Data Envelopment Analysis (DEA). Unfortunately, the new approach is not consistent with the relaxed assumptions. Also, the efficiency evaluations in input and output spaces are based on different technologies assumptions. The aim of this paper is to clarify which assumptions are actually involved and to develop modifications such that the input and output based measures are consistent. In effect, a family of DEA methods based on relaxed convexity assumptions is identified.

Why it matters

OpenAlex reports 141 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In a recent paper, Petersen (Petersen, N. C. 1990. Data envelopment analysis on a relaxed set of assumptions. Management Sci. 36 305–314.) proposed to relax the convexity assumptions invoked in traditional Data Envelopment Analysis (DEA). Unfortunately, the new approach is not consistent with the relaxed assumptions. Also, the efficiency evaluations in input and output spaces are based on different technologies assumptions. The aim of this paper is to clarify which assumptions are actually involved and to develop modifications such that the input and output based measures are consistent. In effect, a family of DEA methods based on relaxed convexity assumptions is identified.

Key concepts: Data envelopment analysis, Convexity, Set (abstract data type), Mathematical economics, Computer science, Econometrics, Economics, Mathematical optimization

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
DEA on Relaxed Convexity Assumptions — Research Paper | ScholarLens