A \(\mathbb B\)-convex production model for evaluating performance of firms
type: Item
instance of: scholarly article
title: A \(\mathbb B\)-convex production model for evaluating performance of firms
zbMATH Open document ID: 1204.90031
author: Walter Briec
author: Charles D. Horvath
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-05-19T00:00:00Z
review text: A new production model is developed similar to Data Envelopment Analysis (DEA) approach. The difference is that the convex framework of the DEA model is replaced by an order theoretical condition: if two input vectors can produce a given output then the coordinatewise maximum of these two vectors can produce that same output. In the proposed model, technologies are dually linked by a min-max cost function. It has been proven that the latter is dual to the traditional Shephard's distance function. By replacing the usual convex hull of the data set by what is called a B-convex hull, the Shephard's distance function can be explicitly calculated.
Mathematics Subject Classification ID: 90B30
Mathematics Subject Classification ID: 91B38
zbMATH DE Number: 5555241
zbMATH Keywords: production model
zbMATH Keywords: DEA
zbMATH Keywords: Min-max cost function
zbMATH Keywords: B-convex sets
zbMATH Keywords: upper semilattice
reviewed by: Kaisa Miettinen
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.01.048
OpenAlex ID: W1992229888
cites work: 𝔹-Convex Sets and Functions
cites work: Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis
cites work: -convexity
cites work: Q5462172
cites work: Measuring the efficiency of decision making units
cites work: Non-Joint Technologies
cites work: Downward sets and their separation and approximation properties
cites work: Abstract convexity and global optimization
cites work: Q5823944
DOI: 10.1016/J.JMAA.2009.01.048
description: scientific article; zbMATH DE number 5555241