in this paper, a new revenue efficiency data envelopment analysis (re-dea) approach is considered for finding the most revenue efficient unit with price uncertainty in both optimistic and pessimistic perspectives. the optimistic and pessimistic perspectives use efficient frontier and inefficient frontier, respectively. an integrated model is introduced to find decision making units (dmus) that ...

Data envelopment analysis (DEA) identifies an empirical efficient frontier of a set of peer decision making units (DMUs) with multiple inputs and outputs. The efficient frontier is characterized by the DMUs with an unity efficiency score. The performance of inefficient DMUs is characterized with respect to the identified efficient frontier. If the performance of inefficient DMUs deteriorates or...

One of the major problems in Data Envelopment Analysis (DEA) is to determine the projection of inefficient Decision Making Units (DMUs) into the efficient frontier. In conventional DEA models, inputs and outputs of inefficient DMUs alter arbitrarily for reaching to the efficient frontier. Nevertheless, sometimes the ability of DMUs is defined and restricted. Moreover, there are situations in th...

In DEA (Data Envelopment Analysis), the Full Dimensional Efficient Facets (FDEFs) of PPS (Production Possibility Set) play a significant role and have many useful applications. In this research, we, first, provide a detailed characterization of the structure of FDEFs of the PPS with constant returns to scale technology, using basic concepts of the polyhedral sets theory. Then, using the mention...

The non-differentiability and implicit definition of boundary of production possibility set (PPS) in data envelopment analysis (DEA) are two important difficulties for obtaining directional characteristics, including different elasticity measures and marginal rates of substitution. Also, imposing weight restrictions in DEA models have some shortcomings and misunderstandings. In this paper we ut...

The present study is an attempt toward improving the performance of members of supply chain. Improvement of two-stage supply chains is three cases. Inefficients suppliers are improved or inefficient manufactures are improved or both of them are improved. First, New sub-perfect supply chain production possibility set is obtained with efficiency score of α for inefficient suppliers and only all D...

There is increasing interest in fully ranking the performance of organizational units with multiple inputs and outputs. We smooth the congenital differences of efficient and inefficient units. The concept of the secondary frontier is to eliminate the effects of super-efficiency and inefficiency. The pseudo secondary frontier is constructed to lie between the efficient and inefficient units. Lo...

In the use of peer group data to assess individual, typical or best practice performance, the effective detection of outliers is critical for achieving useful results, particularly for two-stage analyses. In the DEA-related literature, prior work on this issue has focused on the efficient frontier as a basis for detecting outliers. An iterative approach for dealing with the potential for one ou...

One of the existing DEAmethods’ limitations noted in the literature lies in the process of benchmarking of reference targets for inefficient DMUs. Difficulties arising in this process can be summarized to three aspects. First, the reference target might be a hypothetical DMU that does not actually exist (it is difficult and indeed unrealistic to learn from such a DMU). Second, the reference set...