Int. J. Data Science, Vol. 1, No. 3, 2016 247
Copyright © 2016 Inderscience Enterprises Ltd.
Application of differential evolution for data
envelopment analysis
Sandeep Kumar Mogha*
Department of Applied Sciences,
The NorthCap University,
Gurgaon 122017, India
Email: moghadma@gmail.com
*Corresponding author
Shiv Prasad Yadav
Department of Mathematics,
Indian Institute of Technology Roorkee,
Roorkee 247667, India
Email: yadavfma@iitr.ernet.in
Abstract: Data envelopment analysis (DEA) is a well-known technique for
measuring the performance of homogeneous decision-making units (DMUs).
Performances of DMUs can also be calculated by using some different
techniques. Differential evolution (DE) is a versatile technique used for solving
a wide range of problems occurring in various fields. In the present study, we
propose a novel application of simple differential evolution (SDE) for solving
data envelopment analysis-based models. The mathematical model of the
problem is constrained in nature for which Pareto ranking method is embedded
in SDE.
Keywords: DEA; data envelopment analysis; differential evolution;
constrained optimisation problem; public hospitals; Uttarakhand.
Reference to this paper should be made as follows: Mogha, S.K. and
Yadav, S.P. (2016) ‘Application of differential evolution for data envelopment
analysis’, Int. J. Data Science, Vol. 1, No. 3, pp.247–258.
Biographical notes: Sandeep Kumar Mogha received his MSc and MPhil in
Mathematics from Chaudhary Charan Singh University, Meerut, India.
He holds a PhD in Mathematics from the Department of Mathematics at Indian
Institute of Technology, Roorkee, Uttarakhand, India. Currently, he is working
as an Assistant Professor in the Department of Applied Sciences at The
NorthCap University, Gurgaon, India. His current research areas include
operations research and data envelopment analysis.
Shiv Prasad Yadav is working as a Professor in the Department of Mathematics
at Indian Institute of Technology Roorkee, Roorkee, India. He holds his
PhD degree in Optimal Control Theory from the Department of Applied
Mathematics at Institute of Technology, Banaras Hindu University, Varanasi,
India. His current research areas include optimal control theory, operations
research, data envelopment analysis, fuzzy optimisation, and fuzzy reliability
studies.