TY - JOUR
ID - 11470
TI - The Efficiency Improvement of Decision Making Units Using the Intersection of Supporting Hyperplanes of the Production Possibility Set in Data Envelopment Analysis
JO - Industrial Management Studies
JA - JIMS
LA - en
SN - 2251-8029
AU - Moradi, Akbar
AU - Amirteimoori, Alireza
AU - Kordrostami, Sohrab
AU - Vaez-Ghasemi, Mohsen
AD - Ph.D. Candidate in Mathematics, Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran
AD - Professor, Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran
AD - Professor, Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.
AD - Assisstant Professor, Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
Y1 - 2020
PY - 2020
VL - 18
IS - 58
SP - 193
EP - 214
KW - data envelopment analysis (DEA)
KW - improvement
KW - Supporting hyperplane
KW - Production possibility set (PPS)
KW - Real technology
DO - 10.22054/jims.2020.45015.2355
N2 - Data Envelopment Analysis (DEA) is an estimator. This estimator tries to assess a relationship between multiple inputs and multiple outputs, and an identified technology. In traditional DEA models, firms are classified into two divisions, efficient and inefficient. Efficient firms are considered as a reference for inefficient firms. In traditional DEA models, the efficiency improvement has been inspected for inefficient firms and efficient firms are assumed to be unchanged. Since the estimated technology is rationally smaller than the real technology or in other words, the estimated technology is always the subset of the true technology, we can expand it a little. Thus, we can improve efficient firms. This is done by creating some virtual DMUs. In this paper, an algorithm is proposed to expand the Production Possibility Set (PPS) and to improve efficient firms. To illustrate the proposed approach, numerical and applied examples are provided. The results are explained and discussed.
UR - https://jims.atu.ac.ir/article_11470.html
L1 - https://jims.atu.ac.ir/article_11470_9a4cfa4a4b7931af8fb9eb857ba4ce94.pdf
ER -