This paper introduces two virtual decision making units (DMUs) called ideal DMU (IDMU) and anti-ideal DMU (ADMU) into the data envelopment analysis (DEA). The resultant DEA models are, respectively, referred to as the data envelopment analysis with ideal and anti-ideal decision making units. One evaluates DMUs from the viewpoint of the best possible relative efficiency, while the other evaluate...

This paper proposes two-stage model for prioritizating decision making units (DMU) where each unit has multiple inputs and outputs. The rst stage model is a noncooperative game where each optimal input-output weight set of DMU is de ned by the Data Envelopment Analysis (DEA) and each DMU evaluates other DMUs by its own weights. The equilibrium state obtained from the rst stage motivates none of...

data envelopment analysis operates as a tool for appraising the relative efficiency of a set of homogenous decision making units. this methodology is applied widely in different contexts. regarding to its logic, dea allows each dmu to take its optimal weight in comparison with other dmus while a similar condition is considered for other units. this feature is a bilabial characteristic which opt...

This article deals with the determination of temperature distribution, displacement and thermal stresses of a rectangular plate having nonhomogeneous material properties with internal heat generation. The plate is subjected to sectional heating. All the material properties except Poisson’s ratio and density are assumed to be given by a simple power law along x direction. Solution of the two-dim...

In this work, an extended evaluation approach for decision making units (DMUs) with a single output is proposed. Firstly, the input and output data for each DMU are changed in the same proportion until all the outputs are equal, and then the coordinate system is established with input i as the ith coordinate axis. Secondly, in the coordinate system, the production possibility set, which is span...

In addition to the efficiency scores, Data Envelopment Analysis also provides the inefficient DMUs with information on reference units which lie on the efficient frontier. Reference units are traditionally found by projecting the inefficient DMUs radially to the efficient surface. However, there may exist some other efficient solutions, which are better targets. This means that it is possible t...

The data envelopment analysis (DEA) models developed with the assumption that input and output data from all of the decision making units (DMUs) to be evaluated are available. So, the need to apply an appropriate approach so that it handles cases includes DMUs whose some data are missing, has been an important issue. In this paper, we consider the case of missing values in one component of the ...

Conventional production theory views an organization as a production system in which input is the resource utilized by the organization and transformed into output. Economic efficiency based on production theory, implies that organizations should structure their outputs to achieve the lowest possible use of inputs. ParetoKoopman’s description of efficiency provides explanation that “the perform...