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2010•Shuxue de shijian yu renshiRequires access

Chain Network DEA Model

Pang Li-yong

Open publisher page 2 citations

Abstract

Data Envelopment Analysis(DEA) is a well tool of measuring relative efficiency of decision make units(DMU),and it has been widely applied in many fields.Conventional DEA measures the efficiency of decision make units,which does not consider the interior structure of system but treats the system as a ′black box′.This paper proposes a new network DEA model-Chain Network DEA Model which deals with multi-stage network structure.This paper investigates the relationship between network DEA efficiency and stage weak DEA efficiency of network DMU and develops a necessary and sufficient condition for network DEA efficiency.If the given network DMU is not network DEA efficient,we can point out that which stages axe inefficient according to the chain network DEA model.

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What this paper is about

Data Envelopment Analysis(DEA) is a well tool of measuring relative efficiency of decision make units(DMU),and it has been widely applied in many fields.Conventional DEA measures the efficiency of decision make units,which does not consider the interior structure of system but treats the system as a ′black box′.This paper proposes a new network DEA model-Chain Network DEA Model which deals with multi-stage network structure.This paper investigates the relationship between network DEA efficiency and stage weak DEA efficiency of network DMU and develops a necessary and sufficient condition for network DEA efficiency.If the given network DMU is not network DEA efficient,we can point out that which stages axe inefficient according to the chain network DEA model.

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Available abstract

Data Envelopment Analysis(DEA) is a well tool of measuring relative efficiency of decision make units(DMU),and it has been widely applied in many fields.Conventional DEA measures the efficiency of decision make units,which does not consider the interior structure of system but treats the system as a ′black box′.This paper proposes a new network DEA model-Chain Network DEA Model which deals with multi-stage network structure.This paper investigates the relationship between network DEA efficiency and stage weak DEA efficiency of network DMU and develops a necessary and sufficient condition for network DEA efficiency.If the given network DMU is not network DEA efficient,we can point out that which stages axe inefficient according to the chain network DEA model.

Key concepts: Data envelopment analysis, Computer science, Envelopment, Chain (unit), Efficiency, Point (geometry), Network model, Mathematical optimization

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