A Method for Target Setting with Share Data

Subject Areas : Statistics

B. Rahmani Parchkolaei ¹ (Corresponding Author Departments of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran)
Z. Moghaddas ² (Departments of Mathematics, Qazvin Branch, Islamic Azad University,Qazvin, Iran)

Received: 2015-11-09 Accepted : 2015-02-09 Published : 2016-02-01

Keywords: تحلیل پوششی داده ها, هدف گذاری, داده های سهمی,

Abstract :

Data Envelopment Analysis (DEA) is a mathematical programming technique for evaluatingthe relative efficiency of a set of Decision Making Units (DMUs) and can also be utilized forsetting target. Target setting is one of the important subjects since according to its resultsefficiency can be increased. An important issue to be currently discussed, is to set targetwhile considering share data. These data for each individual indicate the share of the unit,which takes part in an activity, from the whole amount which is a predefined constant. It isobvious that the sum of units’ share is equal to the entire amount. Thus, any changes in themagnitude of these data has to be dependent on the changes in data of other units. In thispaper a two-stage procedure is developed to find benchmark units where share data exist. Thefact that all DMUs are jointly projected onto the new efficient frontier and simplicity, are thesignificant features of the proposed method. With a numerical example we demonstrate howthis method works.

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