Optimization, System Analysis, and Operations Research

Convex isoquants in DEA models with selective convexity

A. P. Afanasiev^ab, V. E. Krivonozhko^cd, A. V. Lychev^d, O. V. Sukhoroslov<sup>a

a</sup> Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
^b Peoples' Friendship University of Russia named after Patrice Lumumba, Moscow
^c Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
^d National University of Science and Technology «MISIS», Moscow

Abstract: Models with selective convexity are an important class of data envelopment analysis (DEA) models. This type of model allows managers to consider variables such as ratios, averages, percentages, etc. The paper proposes algorithms for constructing input and output isoquants using volume variables in models with selective convexity. These algorithms help investigate the relationship between any volume variables in the model. Computational experiments confirm the reliability and efficiency of the proposed methods.

Keywords: data envelopment analysis, production possibility set, selective convexity, efficient frontier, isoquant.

Presented by the member of Editorial Board: A. A. Galyaev

Received: 31.08.2023
Revised: 22.12.2023
Accepted: 30.12.2023

DOI: 10.31857/S0005231024010025

 English version: Automation and Remote Control, 2024, 85:1, 79–89