A SBM DEA Model of Performance Generation via Input–Output Ratios under Pseudo-Returns to Scale

Authors

  • Sohiela Dehghan-Chenari * Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
  • Farhad Hossienzadeh-Lotfi Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Turkiye.

https://doi.org/10.22105/raise.vi.98

Abstract

Data Envelopment Analysis with ratio measures (DEA-R) provides an effective framework for evaluating the performance of decision-making units based on ratio indicators. However, existing DEA-R studies generally treat outputs as a homogeneous set and overlook systems in which outputs play different functional roles and exhibit distinct scaling behaviors. This study introduces a novel ratio-based technology with two categories of outputs. The first category is combined with inputs to construct ratio-based performance indicators, whereas the second category represents outcome outputs generated through the utilization of these performance structures. A new axiomatic framework is developed, and the concept of pseudo-returns to scale is extended to the ratio–output space. The proposed approach characterizes pseudo-returns to scale within ratio-based technologies. The framework provides a new perspective for analyzing organizations in which performance indicators and outcome indicators respond differently to resource utilization and operational development.

Keywords:

Data envelopment analysis, Ratio-based technology, Pseudo-returns to scale, Ratio performance indicators, Outcome outputs

References

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Published

2026-08-25

Issue

Vol. 3 No. 3 (2026): Research Annals of Industrial and Systems Engineering

Section

Articles

How to Cite

Dehghan-Chenari, S. ., & Hossienzadeh-Lotfi, F. . (2026). A SBM DEA Model of Performance Generation via Input–Output Ratios under Pseudo-Returns to Scale. Research Annals of Industrial and Systems Engineering, 3(3), 160–169. https://doi.org/10.22105/raise.vi.98

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