2017•Journal of New Researches in MathematicsRequires access

TWO-STAGE NETWORK DEA-R BASED ON VALUE EFFICIENCY

Mohammad Reza Mozaffarı

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Abstract

It is essential for most organizations and financial institutes to be able to evaluate their decision-making units (DMUs), when there is only a ratio of inputs to outputs (or vice versa) available. In this paper, we will propose our two-stage DEA-R models, which are a combination of data envelopment analysis and ratio data, based on value efficiency. Integrating value efficiency into data envelopment analysis would lead to identification of units with the highest productivity, from the manager’s perspective. Considering the managers’ opinions in DEA models in order to measure value efficiency would be an interactive method of DMU evaluation. generally, this study will suggest some two-stage DEA-R models, introducing the most productive units from the managers’ viewpoints. In the end, the obtained value efficiency will be our criterion for evaluation of DMUs in two-stage networks with ratio data.

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What this paper is about

It is essential for most organizations and financial institutes to be able to evaluate their decision-making units (DMUs), when there is only a ratio of inputs to outputs (or vice versa) available. In this paper, we will propose our two-stage DEA-R models, which are a combination of data envelopment analysis and ratio data, based on value efficiency. Integrating value efficiency into data envelopment analysis would lead to identification of units with the highest productivity, from the manager’s perspective. Considering the managers’ opinions in DEA models in order to measure value efficiency would be an interactive method of DMU evaluation. generally, this study will suggest some two-stage DEA-R models, introducing the most productive units from the managers’ viewpoints. In the end, the obtained value efficiency will be our criterion for evaluation of DMUs in two-stage networks with ratio data.

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Available abstract

It is essential for most organizations and financial institutes to be able to evaluate their decision-making units (DMUs), when there is only a ratio of inputs to outputs (or vice versa) available. In this paper, we will propose our two-stage DEA-R models, which are a combination of data envelopment analysis and ratio data, based on value efficiency. Integrating value efficiency into data envelopment analysis would lead to identification of units with the highest productivity, from the manager’s perspective. Considering the managers’ opinions in DEA models in order to measure value efficiency would be an interactive method of DMU evaluation. generally, this study will suggest some two-stage DEA-R models, introducing the most productive units from the managers’ viewpoints. In the end, the obtained value efficiency will be our criterion for evaluation of DMUs in two-stage networks with ratio data.

Key concepts: Data envelopment analysis, Value (mathematics), Viewpoints, Envelopment, Productivity, Measure (data warehouse), Computer science, Identification (biology)

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