In recent years there has been an exponential growth in the number of publications related to theory and applications of Data Envelopment Analysis (DEA). Charnes, Cooper, and Rhodes (1978) introduced DEA as a tool for measuring efficiency and productivity of decision making units. DEA has immediately been recognized as a modern tool for performance measurement. Since then, a large and considerable amount of articles has been appeared, including significant breakthroughs in theory and a great portion of works on DEA applications, both public and private sectors, to assess the efficiency and productivity of their activities. Although there have been several bibliographic collections reported, a comprehensive analysis and listing of DEA-related articles covering its first four decades of history is still missing. This paper, thus, aims to report an extensive listing of DEA-related articles including theory and methodology developments and "real" applications in diversified scenarios from 1978 to end of 2016. Some summary statistics of the publications' growth, the most utilized academic journals, authorship analysis, as well as keywords analysis are also provided.

A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016

Review of efficiency ranking methods in data envelopment analysis

In many real managerial applications, an issue of considerable importance is allocating a total fixed cost across a set of competing decision making units (DMUs). The fixed cost allocation problem has also become one of the most important applications of the data envelopment analysis (DEA) methodology. In this paper, we will approach the fixed cost allocation problem by explicitly considering both competition and cooperation relationships among DMUs. To this end, we integrate cooperative game theory and the cross efficiency method to develop a DEA-game cross efficiency approach to generate a unique and fair allocation plan. With the proposed approach, each DMU is considered as a player and a super-additive characteristic function is defined for coalitions of DMUs. Then, the Shapley value is calculated for each DMU and accordingly associated common weights are optimized to determine the final allocation plan. Since the cross efficiency method considers peer appraisal and the cooperative game theory allows for equitable negotiations, all DMUs are supposed to reach a consensus on the equitable allocation scheme through our novel approach. From this perspective, our proposed approach is promising and attractive for allocating a fixed cost in large organizations. Finally, the DEA-game cross efficiency approach is demonstrated with a numerical example derived from previous literature and the results are compared to some existing methods. Additionally, we apply the proposed approach to an empirical application concerning city commercial bank activities in China.

Allocating a fixed cost based on a DEA-game cross efficiency approach

Improving performance evaluation based on balanced scorecard with grey relational analysis and data envelopment analysis approaches: Case study in water and wastewater companies.

A novel hybrid fuzzy DEA-Fuzzy MADM method for airlines safety evaluation

Dual frontiers without convexity

The ongoing conflict among Shiites, Sunnis, and the Government of Bahrain is formally investigated using the graph model for conflict resolution in order to gain strategic insights into how this festering dispute can be better understood and resolved. At the modeling stage, the Bahrain conflict is meaningfully described in terms of the three main decision makers (DMs), as well as each DM's options or courses of action it controls and relative preferences among the possible states or scenarios that could arise. Subsequently, at the analysis stage, a stability analysis is carried out to determine the stability of a state from each DM's viewpoint, according to different descriptions of behavior under conflict, as well as the equilibria or compromise resolutions. The findings indicate that although the present strife could continue unless the Government steps down, a compromise solution in which the Government institutes reform is possible.

Abdullah Aldamak

Papers

Review of efficiency ranking methods in data envelopment analysis

Dual frontiers without convexity

Strategic insights into the Bahrain conflict

Utilizing Macro- and Microstructural Characterization in Root Cause Analysis (RCA) of a Shaft-Bearing Assembly Failure