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A DEA model for two-stage parallel-series production processes

Alireza Amirteimoori;  Feng Yang — 2014

RAIRO - Operations Research - Recherche Opérationnelle

Data envelopment analysis (DEA) has been widely used to measure the performance of the operational units that convert multiple inputs into multiple outputs. In many real world scenarios, there are systems that have a two-stage network process with shared inputs used in both stages of productions. In this paper, the problem of evaluating the efficiency of a set of specialized and interdependent components that make up a large DMU is considered. In these processes the first stage consists of two parallel...

The homogeneous balance of undetermined coefficients method and its application

Yi Wei;  Xin-Dang He;  Xiao-Feng Yang — 2016

Open Mathematics

The homogeneous balance of undetermined coefficients method is firstly proposed to solve such nonlinear partial differential equations (PDEs), the balance numbers of which are not positive integers. The proposed method can also be used to derive more general bilinear equation of nonlinear PDEs. The Eckhaus equation, the KdV equation and the generalized Boussinesq equation are chosen to illustrate the validity of our method. The proposed method is also a standard and computable method, which can...

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