2014
DOI: 10.1007/978-1-4899-8068-7_15
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Network, Shared Flow and Multi-level DEA Models: A Critical Review

Abstract: In the last two decades, complex and detailed DEA models that consider the internal structure of DMUs have been proposed by several authors. This chapter describes the mathematical formulations, along with their main variants, extensions and applications, of three large and popular model families: network (with special emphasis on multi-stage), shared flow (also known as multi-component or multi-activity), and multi-level models. Each family is a different generalization of the same elementary internal structu… Show more

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Cited by 11 publications
(7 citation statements)
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References 188 publications
(195 reference statements)
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“…The network system in practice includes the series, parallel and mixed (general) structures such as electric power companies, hospitals and broadcasting companies [17]. The popularity and abundance of network DEA models encouraged Castelli et al [18], Cook et al [19], and Agrell and Hatami-Marbini [20], Kao [21] and Castelli and Pesenti [22] to provide the overarching surveys of the advanced applications and models. Kao [21] reviewed studies on network DEA and proposed two distinct classifications according to the structure of the network systems and the developed models.…”
Section: Network Deamentioning
confidence: 99%
See 1 more Smart Citation
“…The network system in practice includes the series, parallel and mixed (general) structures such as electric power companies, hospitals and broadcasting companies [17]. The popularity and abundance of network DEA models encouraged Castelli et al [18], Cook et al [19], and Agrell and Hatami-Marbini [20], Kao [21] and Castelli and Pesenti [22] to provide the overarching surveys of the advanced applications and models. Kao [21] reviewed studies on network DEA and proposed two distinct classifications according to the structure of the network systems and the developed models.…”
Section: Network Deamentioning
confidence: 99%
“…Focusing on the structures, the second classification is composed of seven categories: basic two-stage, general two-stage, series, parallel, mixed, hierarchical, and dynamic models. Castelli and Pesenti [22] as an extension of Castelli et al [18] provided a classification of the existing network DEA models and their applications to different industries as presented in Figure 1.…”
Section: Network Deamentioning
confidence: 99%
“…We show how to build a NDEA model for a production process with serie structure as those in Figure 1. Following ( (Castelli, Pesenti, & Ukovich, 2010), (Castelli & Pesenti, 2014), (Castelli, Pesenti, & Ukovicha, 2001)) we build a multiplicative input oriented relational (with two relational variables, in the Figure 1) NDEA model (Kao, 2009(a))with shared variables ( and in Figure 1) and one exogenous variables ( ) (see Note 5). NDEA relational model in (Kao, 2009(a)) use the same weights for all variables in the NDEA model.…”
Section: An Ndea Relational Model For a Two Stages Production Processmentioning
confidence: 99%
“…Phase 2(1992-2011):sustainable development Phase 3(2012-):Construction of ecological civilization and the relative efficiency is evaluated. The difference between the frontier side of ecological efficiency and DMU dominates the performance of ecological civilization policy (Castelli & Pesenti, 2014). Environmental capacity refers to the maximum contaminant capacity which does not significantly harm the ecological system (Luo, 2012).…”
Section: Relationship Between Economic Development and Environmental Prmentioning
confidence: 99%