RELATIVE RESEARCH PERFORMANCE ASSESSMENT OF ACADEMIC DEPARTMENTS WITH SENSITIVITY ANALYSIS: A DEA APPROACH
By
Imran Ali1,* , Roshan Lal Keshtwal2 , Susheel Kumar3 and Gaurav Varshney4
1Department of Mathematics, Dharmanand Uniyal Government Degree College, Narendranagar (Tehri Garhwal), Uttarakhand, India-249175
2Department of Mathematics, V.S.K.C. Government Postgraduate College, Dakpathar, Dehradun, Uttarakhand, India-248125
3Department of Mathematics, Deshbandhu College Kalkaji, New Delhi, India-110019
4Department of Mathematics, Sridev Suman Uttarakhand University, Pt. L.M.S. Campus Rishikesh (Dehradun), Uttarakhand 249201, India
Email: ali.imranmath@gmail.com*1, rlkeshtwal@gmail.com2 ,skahlawatt@gmail.com3 , gauravdips@gmail.com4
(Received: March 27, 2025; In format: May 13, 2025; Revised: December 05, 2025; Accepted: December 09, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55228
Abstract
Data Envelopment Analysis (DEA) is a non-parametric linear programming technique. So, for to find the error analysis and robustness (stability) of the result the statistics hypothetical approach is very complicated and for this, in this study we apply the concept of sensitivity analysis. In this research work we assess the relative research performance of fifteen academic departments of HEI (Higher educational Institute) of Uttarakhand (India) using DEA technique. For to assess the research performance of all 15 PG departments we have been taken 3 input and 2 output variables by omitting alternatively these parameters we define 4 models in this study. In this study, only two departments, namely, Education and Zoology out of fifteen are best performer in all activities Ph.D. programs as well as others like publications etc. To understand the results more accurately and also for to search robustness (stability) of the research efficiency results, sensitivity analysis has been used in this research article.
2020 Mathematical Sciences Classification: 90C05, 90C31, 90C90.
Keywords and Phrases: DEA, Research performance, Departments, LPP, Sensitivity analysis.