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Abstract

Due to the existence of dual-role factors, it is difficult to evaluate the production efficiency of two-stage systems. Unlike single-stage systems, two-stage systems involve intermediate products that serve as both inputs and outputs. Hence, to overcome existing obstacles, we propose a novel approach called the two-stage enhanced Russell model with dual-role factors (T-ERM-D) to assess the overall efficiency of two-stage production systems. Furthermore, divisional models are developed to evaluate the efficiency of each individual stage. The 0-1 programming is applied to deal with dual-role factors. To handle the non-linearity of these models, the Charnes-Cooper transformation is employed to convert them into linear ones. Using the proposed models, we evaluate efficiency scores of 10 supply chains involving suppliers and producers. By comparing the results obtained from new models with those obtained from models that do not consider dual-role factors, we validate the advantages of the proposed approach.

DOI

10.21078/JSSI-2024-0012

Publication Date

2024-10-25

Publication Title

Journal of Systems Science and Information

Volume

12

Issue

5

ISSN

1478-9906

Keywords

data envelopment analysis, dual-role factors, efficiency assessment, enhanced Russell model, two stages

First Page

624

Last Page

646

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