Title: Investigating a multi-objective programming method with common weights for a two-stage efficiency evaluation

Authors: Fatemeh Jalalkamali; Faranak Hosseinzadeh Saljooghi

Addresses: Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran ' Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

Abstract: In this article, two stage data envelopment analysis (DEA) models are reviewed initially and then two methods of sum weighted and product in efficiency combination are presented. In this two models, the weight of intermediate data are presumed to be the same whereas the results of implementing these two models show different weights for intermediate data. Hence, in the second section, a multi-objective model for each stage, considering an ideal unit, is used which computes the intermediate data weight for two stages uniformly and the efficiency of stages are accordingly calculated. Furthermore, considering the homogeneous nature of input, intermediate and output data for all units, it seems allocating various weights for these factors, is not fair. Thus in Section 3, a model for evaluation of two stage process, considering a common weight for input, intermediate and output factors of different stages is presented and the stage and overall efficiency and inefficiency values for each decision making unit using common weight is calculated. Finally, the relationship of these two models with respect to previous models was investigated and the results were explained using some examples.

Keywords: data envelopment analysis; DEA; two stage model; multi-objective model; common weight; ideal unit; nadir unit.

DOI: 10.1504/IJMOR.2022.122220

International Journal of Mathematics in Operational Research, 2022 Vol.21 No.3, pp.355 - 379

Received: 07 Nov 2020
Accepted: 04 Jan 2021
Published online: 12 Apr 2022 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article