Two-Stage DEA: An Application to Major League Baseball
01 Apr 2003-Journal of Productivity Analysis (Kluwer Academic Publishers)-Vol. 19, Iss: 2, pp 227-249
TL;DR: In this article, the authors use DEA to model DMUs that produce in two stages, with output from the first stage becoming input to the second stage, and apply the model to Major League Baseball, demonstrating its advantages over a standard DEA model.
Abstract: We show how to use DEA to model DMUs that produce in two stages, with output from the first stage becoming input to the second stage. Our model allows for any orientation or scale assumption. We apply the model to Major League Baseball, demonstrating its advantages over a standard DEA model. Our model detects inefficiencies that standard DEA models miss, and it can allow for resource consumption that the standard DEA model counts towards inefficiency. Additionally, our model distinguishes inefficiency in the first stage from that in the second stage, allowing managers to target inefficient stages of the production process.
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TL;DR: This paper is the first research on the CE in a network by the DEA approach so that the relationships between the internal stages of the network are considered, and shows that in a two-stage network, the proposed DEA model can provide accurate estimates of CE.
Abstract: This study proposes a two-stage game–data envelopment analysis (DEA) approach for cost-efficiency (CE) measurement using centralized and Stackelberg game models. Each decision-making unit (DMU) is proposed to make up two-stage network structures (or processes), where all the first-stage outputs are the only second-stage inputs. The main contribution of this study is the development of cooperative and non-cooperative models for CE measurement and implies a unique CE decomposition. We apply centralized and Stackelberg approaches for cooperative and non-cooperative assumption between two stages. We proposed a simplified version of the two-stage DEA network CE model. Applying the proposed model for CE calculation reduces both the number of constraints and variables, resulting in a sharp reduction in computational requirements. The applicability of the presented model is demonstrated in the context of studying the output of the electrical network in Iran. The results of the case study show that in a two-stage network, the proposed DEA model can provide accurate estimates of CE. This paper aids the two-stage network structures to control the costs by weak DMUs management. To the authors’ knowledge, this paper is the first research on the CE in a network by the DEA approach so that the relationships between the internal stages of the network are considered.
1 citations
01 Aug 2014
TL;DR: In this paper, a modelo de Analise Envoltoria de Dados (DEA) em dois estagios, denominado NDEA, onde o numero de dissertacoes e teses sao os produtos intermediarios.
Abstract: Os cursos de pos-graduacao stricto sensu no Brasil sao avaliados a cada tres anos. Os metodos utilizados nesta avaliacao buscam medir a produtividade academica (incluindo a quantidade e qualidade da producao cientifica), o numero de estudantes que concluem o curso, entre outros fatores. Assim, o objetivo deste trabalho e avaliar a capacidade dos programas de pos-graduacao da area de Engenharia III da CAPES na producao e publicacao de artigos cientificos de mestrados e teses de doutorado. Foi utilizado um modelo de Analise Envoltoria de Dados (DEA) em dois estagios, denominado NDEA, onde o numero de dissertacoes e teses sao os produtos intermediarios. Desta forma, e possivel calcular a eficiencia tanto nos aspectos academicos quanto nos aspectos de pesquisa dos cursos de pos-graduacao.
1 citations
01 Jan 2019
TL;DR: In this article, an extensive study on the application of various models of DEA in the following sports: Baseball, Basketball, Cricket, Cycling, Football, Golf, Handball, Olympics, and Tennis.
Abstract: espanolEl analisis envolvente de datos (DEA) es una tecnica de programacion matematica determinista que evalua el rendimiento y la evaluacion comparativa de las unidades de toma de decisiones (DMU) con varias entradas y salidas. El DEA, ademas de en los sectores publico y privado, encuentra aplicacion en el ambito deportivo. Como resultado, se ha publicado un numero significativo de articulos que determinan la eficiencia atletica, economica y gerencial usando DEA en varios deportes. En este articulo presentamos un extenso estudio sobre la aplicacion de varios modelos de DEA en los siguientes deportes: Beisbol, baloncesto, cricket, ciclismo, futbol, golf, balonmano, Las olimpiadas y el tenis. Se ha encontrado que el DEA identifica las fuentes de ineficiencia en diferentes deportes individuales y de equipo por medio de analisis comparativos y proporciona posibles lineas de mejora. EnglishData envelopment analysis (DEA) is a deterministic mathematical programming technique, evaluates the performance and benchmarking of decision making units (DMUs) with several inputs and outputs. DEA, in addition to public and private sectors, finds application in the sports setting. As a result, a significant number of papers have been published that determine the athletic/economic/managerial efficiency by DEA in various sports. In this paper we present an extensive study on the application of various models of DEA in the following sports: Baseball, Basketball, Cricket, Cycling, Football, Golf, Handball, Olympics, and Tennis. It is found that DEA identified the sources of inefficiency in different team and individual games by means of benchmarking analysis and provided possible directions for improvement
1 citations
TL;DR: In this article, the authors adopted two-stage data envelopment analysis (DEA) methods, including the CharnesCooper-Rhodes and Banker-Charnes-Cooper methods, to evaluate the performance of marketing orientation and profit orientation activities on the cost efficiency of Taiwan's banks.
Abstract: In this study we adopted two-stage data envelopment analysis (DEA) methods, including the Charnes–Cooper–Rhodes and Banker–Charnes–Cooper methods, to evaluate the performance of marketing-orientation and profit-orientation activities on the cost efficiency of Taiwan's banks. The conventional DEA model was modified to take into account the series relationship for dividing two sub-processes in order to identify the causes of inefficiency. Information was obtained from 37 Taiwanese banks for the period from 2008 to 2011. The Malmquist total factor productivity index was employed to measure the effect of productivity changes on the panel data. The empirical results from the two-stage approach indicate the following: (1) the mean efficiency score of profitability stage banks is higher than that of the marketability stage banks; (2) the technical efficiency is significantly different from ranking according to the operating scale and pure technical efficiency, and the scale efficiencies are significantly different from ranking according to fixed assets; and (3) economies of scale and scope exist at small and medium-sized banks.
1 citations
TL;DR: The conclusions are that a four-stage production process can represent numerous real processes, the proposed NDEA model can be used for multiple different applications and the system of preferences on the distribution of resources among subs processes influences the measurement of relative efficiency both for the whole process and for its sub-processes.
Abstract: The measurement of the relative efficiency of a production process with the DEA approach considers the process itself as a "black box" that uses inputs to produce outputs. In reality, many production processes require the carrying out of many activities grouped into phases and interconnected with each other. For this reason, modeling a production process as a network system in which its sub-parts are differently interconnected certainly represents a modeling closer to reality. The NDEA approach born within the DEA methodology has developed several models to measure the relative efficiency of network systems such as independent models, or connected models or relational models. The latter differs from the other two in that it allows you to measure the relative efficiency of the entire process and its parts once the operations between the parts of the system have been considered. In this paper, as well as modeling a production process with four stages with shared variables, we propose a relational NDEA model under different preference systems in the distribution of resources between sub-processes to measure their relative efficiency. The proposed NDEA model is in the multiplicative version. We will use non-real data to solve the model. Our conclusions are that 1) a four-stage production process can represent numerous real processes, 2) the proposed NDEA model can therefore be used for multiple different applications and 3) the system of preferences on the distribution of resources among subs processes influences the measurement of relative efficiency both for the whole process and for its sub-processes.
1 citations
Cites methods from "Two-Stage DEA: An Application to Ma..."
...For example (Sexton & Lewis, 2003) apply a two-stages NDEA model to Major League Baseball considering both inputs and outputs orientation and each one under constant and variable return to scale assumptions....
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...…with the DEA can be carried out using different models that consider its internal structure such as independent models [for example (Wang, Gopal, & Zionts, 1997), (Seiford & Zhu, 1999), (Sexton & Lewis, 2003)], or related models [for example (Fa¨re & & Grosskopf, 1996a), (Fare & Grosskopf, 2000)]....
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...…growing [for example (Chodakowska & Nazarko, 2017), (Kao & Hwang, 2008), (Kawaguchi, Tone, & Tsutsui, 2014), (Pinto, 2016), (Prieto & Zofio, 2007), (Sexton & Lewis, 2003), (Wanke & Barros, 2014), (Wanke, Maredza, & Gupta, 2017), ( (Despotis, Koronakos, & Sotiros, 2015), (Chilingerian & Sherman,…...
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462 citations
TL;DR: A nonparametric, linear programming, frontier procedure for obtaining a measure of managerial efficiency that controls for exogenous features of the operating environment is introduced.
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"Two-Stage DEA: An Application to Ma..." refers methods in this paper
...Sexton and Silkman (2000) and Fried et al. (1999) present similar but distinct approaches to dealing with site characteristics in standard DEA models....
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TL;DR: In this article, the authors introduce a frontier model for productivity measurement that explicitly recognizes that some inputs are produced and consumed within the production technology, where intermediate inputs may also be final output.
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TL;DR: It is found that the decomposition of production into subproduction processes reduces the dimensions of problem specification, with the effect that a larger number of variables may be usefully included in the model.
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145 citations