Super-eficiência baseada em modelos não radiais da DEA Aplicação aos municípios da área metropolitana de Lisboa

Mestrado em Contabilidade e Gestão das Instituições FinanceirasNa metodologia Data Envelopment Analysis (DEA) existem dois tipos de modelos, radiais e não radiais, para medir a eficiência relativa de um conjunto de Decision Making Units (DMUs). Esses modelos permitem obter um índice de eficiência para cada uma das DMUs em análise e, deste modo, distinguir as eficientes das não eficientes. Uma desvantagem associada a estes modelos é a de permitirem que várias DMUs sejam classificadas como eficientes não possibilitando discriminar essas DMUs e, consequentemente, obter um ranking sobre a performance das mesmas. Para contornar essa desvantagem, vários métodos e modelos têm sido propostos. Um desses métodos é o método da super-eficiência. Esta dissertação tem por objetivo apresentar um estudo sobre modelos não radiais de super-eficiência para obtenção de um ranking completo das DMUS em avaliação. Este estudo inclui a aplicação desses modelos para a determinação de rankings sobre os dezoito municípios que integram a Área Metropolitana de Lisboa, referente ao ano de 2018.In the Data Envelopment Analysis (DEA) methodology there are two types of models, radial and non-radial, to measure the relative efficiency of a set of Decision Making Units (DMUs). These models allow us to obtain an efficiency index for each of the DMUs under analysis and, thus, distinguish efficient from inefficient ones. A disadvantage associated with these models is that they allow several DMUs to be classified as efficient, not making it possible to discriminate these DMUs and, consequently, obtain a ranking on their performance. To overcome this disadvantage, several methods and models have been proposed. One such method is the super-efficiency method. This dissertation aims to present a study on non-radial super-efficiency models to obtain a complete ranking of the DMUS under evaluation. This study includes the application of these models to determine rankings on the eighteen municipalities that make up the Metropolitan Area of Lisbon, for the year 2018.info:eu-repo/semantics/publishedVersio

A Modified Super-Efficiency in the Range Directional Model

The range directional model (RDM) relaxes the assumption of non-negativity of inputs and outputs in the conventional data envelopment analysis (DEA) with the aim of evaluating the efficiency of a decision-making unit (DMU) when some data are negative. Although the concept of super-efficiency in the RDM contributes to enhancing discriminatory power, the formulated model may lead to the infeasibility problem for some efficient DMUs. In this paper, we modify the super-efficiency RDM (SRDM) model to overcome the infeasibility problem occurring in such cases. Our method leads to a complete ranking of the DMUs with negative data for yielding valuable insights that aid decision makers to better understand the findings from a performance evaluation process. The contribution of this paper is fivefold: (1) we detect the source of infeasibility problems of SRDM in the presence of negative data, (2) the proposed model in this study yields the SRDM measures regardless of feasibility or infeasibility of the model, (3) when feasibility occurs, the modified SRDM model results in the scores that are the same as the original model, (4) we differentiate the efficient units to improve discriminatory power in SRDM, and (5) we provide two numerical examples to elucidate the details of the proposed method

Ranking efficient DMUs using cooperative game theory

The problem of ranking Decision Making Units (DMUs) in Data Envelopment Analysis (DEA) has been widely studied in the literature. Some of the proposed approaches use cooperative game theory as a tool to perform the ranking. In this paper, we use the Shapley value of two different cooperative games in which the players are the efficient DMUs and the characteristic function represents the increase in the discriminant power of DEA contributed by each efficient DMU. The idea is that if the efficient DMUs are not included in the modified reference sample then the efficiency score of some inefficient DMUs would be higher. The characteristic function represents, therefore, the change in the efficiency scores of the inefficient DMUs that occurs when a given coalition of efficient units is dropped from the sample. Alternatively, the characteristic function of the cooperative game can be defined as the change in the efficiency scores of the inefficient DMUs that occurs when a given coalition of efficient DMUs are the only efficient DMUs that are included in the sample. Since the two cooperative games proposed are dual games, their corresponding Shapley value coincide and thus lead to the same ranking. The more an ef- ficient DMU impacts the shape of the efficient frontier, the higher the increase in the efficiency scores of the inefficient DMUs its removal brings about and, hence, the higher its contribution to the overall discriminant power of the method. The proposed approach is illustrated on a number of datasets from the literature and compared with existing methods

Sustainable R&D portfolio assessment.

Research and development portfolio management is traditionally technologically and financially dominated, with little or no attention to the sustainable focus, which represents the triple bottom line: not only financial (and technical) issues but also human and environmental values. This is mainly due to the lack of quantified and reliable data on the human aspects of product/service development: usability, ecology, ethics, product experience, perceived quality etc. Even if these data are available, then consistent decision support tools are not ready available. Based on the findings from an industry review, we developed a DEA model that permits to support strategic R&D portfolio management. We underscore the usability of this approach with real life examples from two different industries: consumables and materials manufacturing (polymers).R&D portfolio management; Data envelopment analysis; Sustainable R&D;

Housing Ranking: a model of equilibrium between buyers and sellers expectations

The equilibrium set of housing units (alternatives) can be characterized from the standpoint of both the demander and the supplier. The current work describes an application of the multicriteria single price model to the ranking of alternatives. By a generalization of the single price model and from both viewpoints an efficiency index can be calculated. We demonstrate how, in equilibrium, the two viewpoints result inevitably in inverse orders of ranking. The model is illustrated by a sample of housing units in the city of Valencia, Spain.

A Super Efficiency Model for Product Evaluation

This study applies a Super Efficiency Data Envelopment Analysis model to evaluate the efficiency of cars sold on the German market. Efficiency is conceptualized from a customers' perspective as a ratio of outputs that customers obtain from a product relative to inputs that customers have to invest. The output side is modeled as a set of customer-relevant parameters such as performance attributes but also nonfunctional benefits and brand strength. More than 60% of the cars are efficient but the analysis shows marked differences regarding their degree of Super Efficiency. Super Efficiency indicates the extent to which the efficient products exceed the efficient frontier formed by other efficient units. Based on the parameter weights, segments of cars with a particular mix of characteristics can be identified; cars with a comparative advantage relative to their competitors who provide the same mix are characterized as the reference points within a given segment.Customer Value, Data Envelopment Analysis (DEA), Marketing Efficiency, Product Marketing, Super Efficiency Model

Benchmarking in Tourism Destination, Keeping in Mind the Sustainable Paradigm

Tourism destination benchmarking and the assessment of tourism management performances are a crucial and challenging task in the direction of evaluating tourism sustainability and reshaping tourism activities. However, assessing tourism management efficiency per se may not provide enough information concerning long-term performances, which is what sustainability is about. Natural resources management should therefore be included in the analysis to provide a more exhaustive picture of long-run sustainable efficiency and tourism performances. Indeed, while the environmental endowment of a site is a key feature in tourism destination comparison, what really matters is its effective management. Therefore, in this paper we assess and compare tourism destinations, not only in terms of tourism services supply, but also in terms of the performance of environmental management. The proposed efficiency assessment procedure is based on Data Envelopment Analysis (DEA). DEA is a methodology for evaluating the relative efficiency when facing multiple input and output. Although the methodology is extremely versatile, for the sake of exemplification, in this paper it is applied to the valuation of sustainable tourism management of the twenty Italian regions.Data envelopment analysis, Sustainable tourism indicators