Groups performance ranking based on inefficiency sharing

Subject Areas : International Journal of Industrial Mathematics

M. Momeni ¹ , G. R. Jahanshahloo ² , M. Rostamy Malkhalifeh ³ , S. Razavi ⁴ , K. Yakideh ⁵

1 - Department of Industrial Management, University of Tehran, Iran.
2 - Faculty of Mathematical Science and Computer Engineering, University for Teacher Education, Iran.
3 - Department of Mathematics, Science and Research Branch, Islamic Azad University ,Iran.
4 - Department of Industrial Management, University of Tehran, Iran.
5 - Department of Industrial Management, University of Tehran, Iran.

Received: 2013-11-04 Accepted : 2013-11-04 Published : 2013-12-01

Keywords: Data Envelopment Analysis, Group Ranking, Network DEA, Parallel Systems Effi&#x0E, ciency, Effi&#x0E, cient Groups,

Abstract :

In the real world there are groups which composed of independent units. The conventional data envelopment analysis(DEA) model treats groups as units, ignoring the operation of individual units within each group.The current paper, investigates parallel system network approach proposed by Kao and modifies it. As modied Kao' model is more eligible to recognize ecient groups, a new ranking method is proposed based on a model which calculates eciencies with additional constraint that made model share constant ineciency among groups.To show advantages, modies model is applied to eciency calculation of both articial and real groups and results is compared with conventional DEA model and parallel system network model as well.Finally it is shown by tow numerical and empirical examples that ecient groups recognized by modied model how can be ranked according to proposed ranking model.