Effciency Measure Under Inter-Temporal Dependence

被引：11

作者：

Ghobadi, S. ^{[1
]}

Jahanshahloo, G. R. ^{[2
]}

Lotfi, F. Hosseinzadeh ^{[2
]}

Rostamy-Malkhalifeh, M. ^{[2
]}

机构：

[1] Islamic Azad Univ, Khomeinishahr Branch, Dept Math, Khomeinishahr, Isfahan, Iran

[2] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran

来源：

INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING | 2018年 / 17卷 / 02期

关键词：

Data Envelopment Analysis (DEA); dynamic DEA; Thompson-Dharmapala-Thrall (TDT)-measure; effciency; inter-temporal dependence; DATA ENVELOPMENT ANALYSIS; DYNAMIC EFFICIENCY MEASUREMENT; ALLOCATIVE EFFICIENCIES; NONPARAMETRIC ANALYSIS; INVERSE DEA; INEFFICIENCY; CHINA; MODEL;

D O I：

10.1142/S0219622018500050

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, a linear programming (LP) model is proposed to estimate the effciency of a decision-making unit (DMU) in the framework of dynamic Data Envelopment Analysis (DEA). Necessary and suffcient conditions required for characterizing dynamically effcient paths are established. An LP model is proposed to estimate the dynamic cost effciency (DCE) measure. It is proved that the aggregate CE in an assessment window is a convex combination of CEs of available periods in the assessment window. In addition, it is shown that a DMU in an assessment window is dynamically effcient when the DMU is dynamically cost/revenue effcient. Mathematical relationships between relative, cost, revenue, and profit effciencies are studied in the framework of dynamic DEA.

引用

页码：657 / 675

页数：19

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