A New Procedure of Two Stage Data Envelopment Analysis Model under Strict Positivity Restriction

M. D. Nasution, M. R. Syahputra, H. Mawengkang, A. A. Kamil

2018

Abstract

Data Envelopment Analysis (DEA) is a mathematical non-parametric approach for measuring relative efficiency of homogenous decision making units (DMUs) performing. This approach will evaluates the efficiency score of entities. The efficiency is defined as the maximum of the ratio of the sum of its weight output to the sum of its weight inputs. The objective value is subject to the conditions that are corresponding to ratios for each DMU be less than or equal to one. Strict positivity of the weights in the theoretical and the computational result is an important condition to identify whether the DMUs is efficient or not. One method that can be used to achieve this condition was considering a positive lower bound on its weights, known as a non-Archimedean infinitesimal, . In fact, it is very hard to find a set of positive weights among all the alternative solutions of multiplier model. This paper show that a new procedure two-stage approach can solve the decision-making problems that are modelled on the DEA-CCR model under strict positivity restriction.

Paper Citation

in Harvard Style

Nasution M., Syahputra M., Mawengkang H. and Kamil A. (2018). A New Procedure of Two Stage Data Envelopment Analysis Model under Strict Positivity Restriction.In Proceedings of the International Conference of Science, Technology, Engineering, Environmental and Ramification Researches - Volume 1: ICOSTEERR, ISBN 978-989-758-449-7, pages 1031-1035. DOI: 10.5220/0010095310311035

in Bibtex Style

@conference{icosteerr18,
author={M. D. Nasution and M. R. Syahputra and H. Mawengkang and A. A. Kamil},
title={A New Procedure of Two Stage Data Envelopment Analysis Model under Strict Positivity Restriction},
booktitle={Proceedings of the International Conference of Science, Technology, Engineering, Environmental and Ramification Researches - Volume 1: ICOSTEERR,},
year={2018},
pages={1031-1035},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010095310311035},
isbn={978-989-758-449-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the International Conference of Science, Technology, Engineering, Environmental and Ramification Researches - Volume 1: ICOSTEERR,
TI - A New Procedure of Two Stage Data Envelopment Analysis Model under Strict Positivity Restriction
SN - 978-989-758-449-7
AU - Nasution M.
AU - Syahputra M.
AU - Mawengkang H.
AU - Kamil A.
PY - 2018
SP - 1031
EP - 1035
DO - 10.5220/0010095310311035