Efficiency decomposition with shared inputs and outputs in two-stage DEA

2016 ◽  
Vol 25 (1) ◽  
pp. 23-38 ◽  
Author(s):  
Lin Li ◽  
Qianzhi Dai ◽  
Haijun Huang ◽  
Shouyang Wang
Keyword(s):  
Two Stage ◽  
Efficiency Decomposition ◽  
Shared Inputs ◽  
Inputs And Outputs

A bargaining game model for efficiency decomposition in the centralized model of two-stage systems

2013 ◽  
Vol 64 (1) ◽  
pp. 103-108 ◽  
Author(s):  
Zhongbao Zhou ◽  
Liang Sun ◽  
Wenyu Yang ◽  
Wenbin Liu ◽  
Chaoqun Ma
Keyword(s):  
Bargaining Game ◽  
Game Model ◽  
Two Stage ◽  
Efficiency Decomposition ◽  
Centralized Model

scholarly journals A Unified Approach to Efficiency Decomposition for a Two-Stage Network DEA Model with Application of Performance Evaluation in Banks and Sustainable Product Design

2019 ◽  
Vol 11 (16) ◽  
pp. 4401 ◽  
Author(s):  
Haitao Li ◽  
Jie Xiong ◽  
Jianhui Xie ◽  
Zhongbao Zhou ◽  
Jinlong Zhang
Keyword(s):  
Performance Evaluation ◽  
Product Design ◽  
Bargaining Game ◽  
Nash Bargaining ◽  
Sustainable Product Design ◽  
Two Stage ◽  
Network Dea ◽  
Nash Bargaining Game ◽  
Efficiency Decomposition ◽  
Sustainable Product

Data envelopment analysis (DEA) is a data-driven tool for performance evaluation, benchmarking and multiple-criteria decision-making. This article investigates efficiency decomposition in a two-stage network DEA model. Three major methods for efficiency decomposition have been proposed: uniform efficiency decomposition, Nash bargaining game decomposition, and priority decomposition. These models were developed on the basis of different assumptions that led to different efficiency decompositions and thus confusion among researchers. The current paper attempts to reconcile these differences by redefining the fairness of efficiency decomposition based on efficiency rank, and develops a rank-based model with two parameters. In our new rank-based model, these three efficiency decomposition methods can be treated as special cases where these parameters take special values. By showing the continuity of the Pareto front, we simplify the uniform efficiency decomposition, and indicate that the uniform efficiency decomposition and Nash bargaining game decomposition can converge to the same efficiency decomposition. To demonstrate the merits of our model, we use data from the literature to evaluate the performance of 10 Chinese banks, and compare the different efficiency decompositions created by different methods. Last, we apply the proposed model to the performance evaluation of sustainable product design in the automobile industry.

Measuring the efficiency of NBA teams: additive efficiency decomposition in two-stage DEA

2014 ◽  
Vol 217 (1) ◽  
pp. 565-589 ◽  
Author(s):  
Chih-Hai Yang ◽  
Hsuan-Yu Lin ◽  
Chiang-Ping Chen
Keyword(s):  
Two Stage ◽  
Efficiency Decomposition

scholarly journals A linear relational DEA model to evaluate two-stage processes with shared inputs

2015 ◽  
Vol 36 (1) ◽  
pp. 45-61 ◽  
Author(s):  
Mehdi Toloo ◽  
Ali Emrouznejad ◽  
Plácido Moreno
Keyword(s):  
Two Stage ◽  
Dea Model ◽  
Shared Inputs

A slacks-based measure approach for efficiency decomposition in multi-period two-stage systems

2020 ◽  
Vol 54 (6) ◽  
pp. 1657-1671
Author(s):  
Samaneh Esfidani ◽  
Farhad Hosseinzadeh Lotfi ◽  
Shabnam Razavyan ◽  
Ali Ebrahimnejad
Keyword(s):  
Production Systems ◽  
Weighted Average ◽  
Real Data ◽  
Stage Structure ◽  
Data Envelopment ◽  
Two Stage ◽  
Bank Branches ◽  
Proposed Model ◽  
Efficiency Decomposition ◽  
Dea Models

Two-stage production systems are often encountered in many real applications where the production process is divided into two processes. In contrast to the conventional data envelopment analysis (DEA) models, two-stage DEA models take the operations of the internal processes into account. A number of studies have used two-stage DEA models in order to evaluate the performance of decision making units (DMUs) having a network structure. In this paper, we use a non-radial DEA model called the network slacks-based measure (NSBM) model to measure the efficiency of a system with a multi-period two-stage structure. Then we describe the properties of the proposed model in details. Moreover, we shall decompose the overall efficiency of the system over a number of time periods as a weighted average of the efficiency in each period. The efficiency of the stages, in respect to the entire periods shall be decomposed in terms of the weighted average efficiency of the stages in each period. Finally, the real data of Mellat bank branches in Tehran extracted from extant literature is used to illustrate the proposed approach.

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