Pareto–Koopmans efficiency and network DEA

Mirdehghan, S. M.; Fukuyama, Hirofumi

doi:10.1016/j.omega.2015.07.008

Cited by 26 publications

(10 citation statements)

References 35 publications

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“…They provided a two‐phase method for determining overall efficiency status by considering full vector of DMUs. Overall efficiency status is determined in Models 6 or 8 following the generalized definition per Mirdehghan and Fukuyama ().Definition DMU o fully dominates DMU j if and only if for each division ( g = 1, 2):

\begin{matrix} lefttrue \\ (- x_{j}^{1}, - b_{j}^{1}, z_{j}) \leq (- x_{o}^{1}, - b_{o}^{1}, z_{o}) \\ (- l_{j}^{2}, - z_{j}, y_{j}^{2}) \leq (- l_{o}^{2}, - z_{normalo}, y_{o}^{2}) . \end{matrix}

Inequalities 9 are strictly established in at least one division.…”

Section: A Two‐stage Network In the Presence Of Undesirable Intermedimentioning

confidence: 99%

“…Therefore, considering Mirdehghan and Fukuyama () in the second phase, the following linear programming model (10) is proposed to determine sufficient condition for overall efficiency of a given DMU o . This is while focusing on the principle of dominating desirable intermediate products and axiom strong disposability in these products.…”

Section: A Two‐stage Network In the Presence Of Undesirable Intermedimentioning

confidence: 99%

“…Therefore, a manager is challenged in locating the exact source of inefficiency to achieve optimal performance. Mirdehghan and Fukuyama (2015) and Fukuyama and Mirdehghan (2012) proposed using the concept of mathematical domination in evaluating efficiency of series DEA network structures. They provided a two-phase method for determining overall efficiency status by considering full vector of DMUs.…”

Section: Two-step Network Technology In the Presence Of Undesirablementioning

confidence: 99%

“…They provided a two-phase method for determining overall efficiency status by considering full vector of DMUs. Overall efficiency status is determined in Models 6 or 8 following the generalized definition per Mirdehghan and Fukuyama (2015).…”

Section: Two-step Network Technology In the Presence Of Undesirablementioning

confidence: 99%

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Pareto–Koopmans efficiency in two‐stage network data envelopment analysis in the presence of undesirable intermediate products and nondiscretionary factors

2019

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Many studies have recently been conducted on the evaluation of system performance with a two‐stage network structure in data envelopment analysis (DEA) literature. One of the topics of interest to researchers has been the mitigation of undesirable products or nondiscretionary factors into their corresponding possible production set (PPS) and their impact on overall efficiency calculations. Determination of decision‐making units (DMUs) with Pareto–Koopmans efficiency status is decisive in identifying benchmark units. The calculated overall efficiency status is compromised when both undesirable products and nondiscretionary factors are present. This work utilizes an axiomatic approach. A novel PPS for a two‐stage network in presence of undesirable intermediate products and nondiscretionary exogenous inputs is introduced. Based on this PPS and by focusing on the principle of mathematical dominance, new models for evaluating overall and divisional efficiencies are presented. In addition, by proposing a two‐step network DEA approach, a necessary and sufficient condition for detection of DMUs with Pareto–Koopmans efficiency status is provided. And by introducing a two‐step algorithm, a novel technique for determining overall efficiency conditions is produced. Finally, the proposed technology is applied to a practical example, and outcomes are discussed.

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\begin{matrix} lefttrue \\ (- x_{j}^{1}, - b_{j}^{1}, z_{j}) \leq (- x_{o}^{1}, - b_{o}^{1}, z_{o}) \\ (- l_{j}^{2}, - z_{j}, y_{j}^{2}) \leq (- l_{o}^{2}, - z_{normalo}, y_{o}^{2}) . \end{matrix}

Inequalities 9 are strictly established in at least one division.…”

Section: A Two‐stage Network In the Presence Of Undesirable Intermedimentioning

confidence: 99%

Section: A Two‐stage Network In the Presence Of Undesirable Intermedimentioning

confidence: 99%

Section: Two-step Network Technology In the Presence Of Undesirablementioning

confidence: 99%

Section: Two-step Network Technology In the Presence Of Undesirablementioning

confidence: 99%

See 2 more Smart Citations

Pareto–Koopmans efficiency in two‐stage network data envelopment analysis in the presence of undesirable intermediate products and nondiscretionary factors

2019

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“…For those systems a number of Network DEA models have been developed (e.g. Färe and Grosskopf 2000, Kao and Hwang 2008, Chen et al 2009, Tone and Tsutsui 2009, Fukuyama and Weber 2010, Lozano 2011, 2015, 2016, Mirdehghan and Fukuyama 2016. A review of Network DEA approaches was carried out in Kao (2014).…”

Section: Introductionmentioning

confidence: 99%

Data envelopment analysis of systems with multiple modes of functioning

Lozano

Villa

2017

Ann Oper Res

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Many systems can operate in different modes of functioning. Conventional Data Envelopment Analysis (DEA) would ignore that fact and consider instead that the system is a black box, paying attention just to the overall input consumption and output production. In this paper a more fine-grained approach is proposed consisting of explicitly modelling the different modes of functioning as specific processes and using the observed data on the input consumption and output production in each of the modes of functioning to infer the corresponding modespecific technology. The system technology results from composing these mode-specific technologies according to the corresponding time allocations. The proposed approach allows computing efficient operating points for every mode of functioning, looking for improvements in the overall system performance. Two efficiency assessment DEA models are presented depending on whether the observed time allocation is maintained or the model is free to modify it.

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Measuring Bank Performance: From Static Black Box to Dynamic Network Models

Fukuyama

Weber

2016

International Series in Operations Research &Amp; Management Science

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Pareto–Koopmans efficiency and network DEA

Cited by 26 publications

References 35 publications

Pareto–Koopmans efficiency in two‐stage network data envelopment analysis in the presence of undesirable intermediate products and nondiscretionary factors

Pareto–Koopmans efficiency in two‐stage network data envelopment analysis in the presence of undesirable intermediate products and nondiscretionary factors

Data envelopment analysis of systems with multiple modes of functioning

Measuring Bank Performance: From Static Black Box to Dynamic Network Models

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