Title: A non-radial approach to improve the interval cost efficiency score in DEA

Authors: Ghasem Tohidi; Simin Tohidnia

Addresses: Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran ' Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran

Abstract: This paper suggests an approach for improving the cost efficiency score of inefficient decision making units (DMUs) with interval data. Corresponding to each inefficient DMU, we consider an interval ideal input vector and then develop two non-radial models to determine a point in the production possibility set that can produce the given interval output vector with the minimum possible cost and is closest point to the corresponding ideal point. By replacing the observed interval input vector with the interval input vector of the obtained point, one can improve the lower bound of the interval cost efficiency score as much as possible while the upper bound can achieve one. A numerical example also will be designed to demonstrate the applicability of the proposed approach.

Keywords: data envelopment analysis; DEA; cost efficiency; interval data; ideal input vector; non-radial model.

DOI: 10.1504/IJISE.2021.118255

International Journal of Industrial and Systems Engineering, 2021 Vol.39 No.2, pp.151 - 161

Received: 28 Jun 2019
Accepted: 13 Oct 2019
Published online: 18 Oct 2021 *

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