Data envelopment analysis efficiency in two-stage networks with feedback

Data envelopment analysis (DEA) is a method for measuring efficiency of peer decision-making units (DMUs). Conventional DEA evaluates the performance of each DMU using a set of most favourable weights. As a result, traditional DEA models can be considered methods for the analysis of the best relative efficiency or analysis of the optimistic efficiency. DEA efficient DMUs obtained from conventional DEA models create an efficient production frontier. Traditional DEA can be used to identify units with good performance in the most desirable scenarios. There is a similar approach that evaluates the performance indicators of each DMU using a set of most unfavourable weights. Accordingly, such models can be considered models for analysing the worst relative efficiency or pessimistic efficiency. This approach uses the inefficient production frontier for determining the worst relative efficiency that can be assigned to each DMU. DMUs lying on the inefficient production frontier are referred to as DEA inefficient while those neither on the efficient frontier nor on the inefficient frontier are declared DEA inefficient. It can be argued that both relative efficiencies should be considered simultaneously and any approach with only one of them would be biased. This paper proposed the integration of both efficiencies as an interval so that the overall performance score would belong to this interval. It was shown that efficiency interval provided more information than either of the two efficiencies, which was illustrated using two numerical examples.

Turbofan aero-engine efficiency evaluation: An integrated approach using VSBM two-stage network DEA

Free disposal hull efficiency scores of units with network structures

Emerging application of robust data envelopment analysis for optimization of graft copolymerization of poly(2-hydroxyethyl methacrylate) to Tamarindus indica seed polysaccharide

Efficiency evaluation of homogenous decision making units (DMUs), is one of the primary objectives of data envelopment analysis (DEA), in which the large number of inputs or outputs compared with the number of DMUs leads to decreased evaluation precision of DEA models. Overcoming this problem is the main issue in two-level DEA. In the present study, we use the multi objective linear programming (MOLP) method proposed by Sumpsi et al., which is based on constructing the pay-off matrix and using goal programming (GP), to investigate this problem. Furthermore, we discuss the enhanced Russell's model for evaluating and benchmarking DMUs with two-level inputs and outputs. The proposed method is applied to 24 branches of an Iranian commercial bank.

Data Envelopment Analysis (DEA) has been recognized as an excellent method for analyzing performance and modeling organizations and operational processes, particularly when market prices are unavailable. In some situations (in real applications) of DEA applications, there are Decision Making Units (DMUs) which have two‐stage structure. In the previous two‐stage models have been assumed that all inputs and outputs of DMUs are known exactly and however this assumption may not be true (i.e. some or all of inputs and outputs may be bounded). This paper proposes a method to determine efficiency of two‐stage DMUs with bounded inputs and outputs and illustrates the proposed method using an example

Efficiency analysis in bi-level on fuzzy input and output

DEA model with shared resources and efficiency decomposition

One of the major research streams in data envelopment analysis (DEA) is ranking decision-making units (DMUs). Utilizing a multicriteria decision-making technique, we develop a novel approach to fully rank all units. Motivated by the convex cone-based total order for multiple criteria alternatives proposed by Dehnokhalaji et al. (Nav Res Logist 61(2):155–163, 2014), we consider DMUs in DEA as multiple criteria alternatives and obtain their total ordering. Initially, some pairwise preference information is provided by the decision maker for units and the concepts of convex cones and polyhedral sets are defined in a DEA framework, correspondingly. We apply a modification of Dehnokhalaji et al. method to extract additional preference information for each pair of units and consequently obtain a full ranking (strict total ordering) of DMUs. The benefit of our approach to their method is that we apply non-radial models to overcome the instability drawback of radial models and their infeasibility occurring in DEA applications. The proposed approach is implemented for two numerical examples, and the accuracy of it is investigated through a computational test.

Nested dynamic network data envelopment analysis models with infinitely many decision making units for portfolio evaluation

An application of data envelopment analysis in telephone officesevaluation with partial data

Closest target setting for two-stage network system: An application to the commercial banks in China

Objective: To synthesize the current evidence base concerning the application of Data Envelopment Analysis (DEA) in healthcare efficiency during the COVID-19 pandemic using a scoping review of 13 primary studies. Methods: We consulted databases including Web of Science (WoS) and Scopus, as well as manual search entries up to September 2022. Included studies were primary applications of DEA for assessing healthcare efficiency during the COVID-19 pandemic. Key findings derived from thematic analysis of repeating pattern observations were extracted and tabulated for further synthesis, taking into consideration the variations in DMU definitions, the inclusion of undesirable outputs, the influence of external factors, and the infusion of advanced technologies in DEA. Results: The review observed a diverse application of DMUs, ranging from healthcare supply chains to entire national health systems. There was an evident shift towards incorporating undesirable outputs, such as mortality rates, in the DEA models amidst the pandemic. The influence of external and non-discretionary factors became more pronounced in DEA applications, highlighting the interconnected nature of global health challenges. Notably, several studies integrated advanced computational methods, including machine learning, into traditional DEA, paving the way for enhanced analytical capabilities. Conclusions: DEA, as an efficiency analysis tool, has exhibited adaptability and evolution in its application in the context of the COVID-19 healthcare crisis. By recognizing the multifaceted challenges posed by the pandemic, DEA applications have grown more comprehensive, integrating broader societal and health outcomes. This review provides pivotal insights that can inform policy and healthcare strategies, underscoring the importance of dynamic and comprehensive efficiency analysis methodologies during global health emergencies.

Performance or efficiency evaluation is of great importance for effective supply chain management, especially in the context of sustainable development and platform economy. In existing literature, two-stage network data envelopment analysis (DEA) has been widely used for supply chain efficiency evaluation. Although existing supply chain DEA usually assumes two-stage systems resolve the inherent conflicts between two stages, e.g. the supplier and manufacturer in a two-echelon supply chain, the relation of supply chain DEA to traditional ‘black box' DEA remains unclear. Moreover, the coordination effect between the two stages is ignored. In this paper, we define the coordination efficiency and propose a DEA-based approach for measuring the coordination effect of supply chain systems. We prove that the proposed multiplier DEA approach is equivalent to the envelopment DEA one. The proposed approach in this paper is verified via a numerical example from a supplier–manufacturer sustainable supply chain on resin companies finally.

Todays, the media industry encompasses all businesses that allow information to be shared (traditional and digital media). Media is vast, large, and ever-growing, and is an incredibly popular sector at the minute, and an extremely interesting area to research work in. This paper considered a news agency of media organization as a Decision-Making Unit (DMU). The aim of the study was to evaluate the role of Balanced Scorecard (BSC) indexes on measuring the efficiency of DMU. This was done by a new hybrid model of Data Envelopment Analysis (DEA), cooperative game theory and Shapley value index. The initial values of the DEA model were selected from among the BSC indexes in four perspectives (i.e., financial, customer, internal processes, and growth and learning). Finally, the proposed model was experimented on a case study and the computational results were obtained. The results showed that the profitability ratio with a Shapley value of 2.903 and the percentage of satisfied audiences with a Shapley value of 0.404 had the highest and lowest reflection in performance assessment, respectively. The rest of the results were presented and discussed in detail. This study can reveal scientific orientation to increase organizational performance to media managers and policymakers.