DEA मॉडल्स का विस्तार

DEA Models Extension

• The presentation discusses the extension of Data Envelopment Analysis (DEA) models.
• The presenter is Dr. Shivi Aggarwal.
• The presentation was given by Anu (2024PHXP0064P) from the Mathematics Department.
• The presentation covers three main topics which are Slack Based DEA Model, New Slack Based DEA Model, and Malmquist Productivity Index.

Slack Based DEA Model

• The model aims to minimize ρ (a value representing efficiency).
• The associated mathematical formula to find the minimal value of ρ is displayed.
• The formula incorporates input and output related parameters. (x_i0, Y_r0)
• The constraints define non-negativity for λ and slack variables (s⁺, s⁻).

New Slack Based DEA Model

• The presentation details a new slack-based DEA Model.
• This model also has a mathematical representation to find the minimum θ_k value.
• The equation includes slack variables (s⁺, s^-) and parameters like output-related variables (Y_rk), and input-related variables (X_ik).
• Contains constraints for non-negativity of elements (λ, s).

Malmquist Productivity Index

• The Malmquist Productivity Index (MPI) is discussed, focusing on output-based calculations.
• The formula for the MPI is given, incorporating input-output parameters (x, y) at different time periods (t, t+1).
• The MPI can be broken down into components relating to technical, scale, and efficiency change.
• The formula clarifies how the MPI is calculated using distance functions and time periods.