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Author (up) Zha, Y.; Liang, L. doi  openurl
  Title Two-stage cooperation model with input freely distributed among the stages Type Journal Article
  Year 2010 Publication European Journal of Operational Research Abbreviated Journal  
  Volume 205 Issue 2 Pages 332-338  
  Keywords Shared flow; Two-stage; DEA; Cooperative efficiency; Product-form  
  Abstract Shared flow has been widely used in production scenarios where inputs and outputs are shared among various activities. In DEA literature, shared flow represents situations that DMUs are divided into different components that require common resources or produce goods or services obtained through collaboration among them. The objective of this paper is to offer an approach for studying shared flow in a two-stage production process in series, where shared inputs can be freely allocated among different stages. A product-form cooperative efficiency model is proposed to illustrate the overall efficiency of the DMU, and the relationship between the stages. First, we use a game-theory framework to decide the upper and lower bounds of the efficiencies of the stages in a non-cooperative context. A heuristic is suggested to transform the non-linear model into a parametric linear one, which is then used to solve the cooperative model. The model is justified by a numerical evaluation of bank performances.  
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  Call Number Admin @ admin @ ZhaLiang2010 Serial 4806  
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