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Reformulation of Network Data Envelopment Analysis models using a common modelling framework

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Resumo(s)

Network Data Envelopment Analysis (network DEA) is an extension of the conventional Data Envelop- ment Analysis (DEA) developed to take into account the internal structure of the Decision Making Units (DMUs). In network DEA, the DMU is considered as a network of interconnected sub-processes, where the connections indicate the flow of the intermediate measures. In this paper, we reformulate some of the basic network DEA methodologies in a common modelling framework. We show that the leader- follower approach, the multiplicative and the additive decomposition methods as well as the recently introduced min-max method and the “weak-link”approach, can all be modelled in a multi-objective programming framework, differentiating only in the definition of the overall system efficiency and the solution procedure adopted. Such a common modelling framework makes the direct comparison of the different methodologies possible and enables us to spot and underline their similarities and dissimilar- ities effectively. We illustrate graphically how the aforementioned methodologies locate their optimal efficiency scores on the Pareto front in the objective functions space, with an example taken from the literature.

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Data Envelopment Analysis Network DEA Multi-objective programming

Contexto Educativo

Citação

Koronakos, G., Sotiros, D., Despotis, D.K. (2018). Reformulation of Network Data Envelopment Analysis models using a common modelling framework. European Journal of Operational Research

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