 A method to rank the efficient units based on cross efficiency matrix without involving the zero weightsMarziye Mirzadeh Tahroodi and Ali Payan International Journal of Data Analysis Techniques and Strategies, 2019, vol. 11, issue 2, 101-114 Abstract: One of the basic objections of the previous models of cross efficiency (CE) is the possibility for the weights to equal zero. This case takes place for the inputs and the outputs in the efficient responses in CE models. Therefore, the input and the output weights which equal zero do not play a role in computing the score of the CE. In this paper, to overcome this problem, an idea to prevent the optimal weights to equal zero in the CE method is offered. This new method can be expanded to all CE models. Based on the offered method, a zero-one mixed linear programming problem is proposed to obtain a set of non-zero weights among the optimal solutions of the preliminary CE model. Following, the zero-one mixed linear programming problem is changed into an equivalent linear program. Then, according to a consistent CE matrix the efficient units are ranked. In order to explain the model and indicate its advantage, an example is given. Keywords: ranking; cross efficiency; CE; zero weights; preference matrix; fuzzy preference relation; zero-one mixed linear programming problem. (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ids:injdan:v:11:y:2019:i:2:p:101-114 Access Statistics for this article More articles in International Journal of Data Analysis Techniques and Strategies from Inderscience Enterprises Ltd |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.