2005Journal of systems engineeringRequires access

Further discussion on the existence of optimal solution and the sensitivity analysis for C~2R model

WU Wen-jiang

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Abstract

This paper demonstrates the theorems on the existence of optimal solution for C~2R model (D) and extensive C~2R model (D_0) under broader conditions, in which evaluation indexes may take negative value. Then, when output may take negative value, this paper gives a theorem on discriminating DEA efficiency with model (D_0), and on the basis of this theorem presents some theorems on sensitivity analysis as the value of each evaluation index has relative error.

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What this paper is about

This paper demonstrates the theorems on the existence of optimal solution for C~2R model (D) and extensive C~2R model (D_0) under broader conditions, in which evaluation indexes may take negative value. Then, when output may take negative value, this paper gives a theorem on discriminating DEA efficiency with model (D_0), and on the basis of this theorem presents some theorems on sensitivity analysis as the value of each evaluation index has relative error.

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Available abstract

This paper demonstrates the theorems on the existence of optimal solution for C~2R model (D) and extensive C~2R model (D_0) under broader conditions, in which evaluation indexes may take negative value. Then, when output may take negative value, this paper gives a theorem on discriminating DEA efficiency with model (D_0), and on the basis of this theorem presents some theorems on sensitivity analysis as the value of each evaluation index has relative error.

Key concepts: Sensitivity (control systems), Value (mathematics), Mathematics, Basis (linear algebra), Mathematical economics, Index (typography), Applied mathematics, Econometrics

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