Programming and Solving the CCR Dual Model in DEA Using MATLAB

In this article, I will demonstrate how to programmatically solve the CCR dual model in Data Envelopment Analysis (DEA) using MATLAB. First, we need to understand the relationship between the CCR model and its dual formulation, along with their roles in DEA methodology. Then, I will explain how to implement this model through MATLAB programming, including techniques for handling input-output data matrices and coding the objective function with linear constraints. Key implementation aspects involve constructing the efficiency score calculation using linear programming (LP) formulation, where we minimize the efficiency parameter theta subject to input-output constraints. Additionally, I will share practical tips for data normalization and constraint structuring to improve model stability. Finally, I will illustrate how to leverage MATLAB's Optimization Toolbox (specifically linprog function) to solve the LP problem, complete with sample code demonstrating constraint matrix setup and result interpretation. The article aims to deepen your understanding of the CCR dual model while providing actionable reference material for research and practical applications.