A compact common weight data envelopment analysis model for efficiency measurement

Document Type : Research Article

Authors

Aysha Hadya K ¹

T. Radha Ramanan ²

M. C. Lineesh ³

C. M. Sushama ³

¹ Department of Mathematics, Farook College, Kozhikode, Kerala, India

² Department of Mechanical Engineering, National Institute of Technology Calicut, Kerala, India.

³ Department of Mathematics, National Institute of Technology Calicut, Kerala, India

10.22067/ijnao.2025.94912.1705

Abstract

This paper proposes a novel common-weight DEA model that combines multi-objective linear fractional programming and goal programming to determine a set of common-weights for evaluating decision-making units (DMUs). The model formulates a single linear program (LP) without requiring iterative procedures, thereby enhancing computational efficiency. To validate the model’s effectiveness, we compare the proposed method with a satisfaction degree–based model, a distance-based model, and a credibility-based common-weight method. Our model demonstrates competitive efficiency scores and a high degree of discrimination among DMUs, while maintaining a lower computational time complexity. This research contributes by offering a practical and computationally efficient alternative to existing models.

Keywords

Common weights

Data Envelopment Analysis

Efficiency evaluation

Multi-objective linear fractional programming

Goal programming

Subjects

• Operations Research

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