The New Neutral Secondary Goal based on Ideal DMU Evaluation in‏‎‎ Cross-Efficiency

Authors

  • Hamid Kiaei Department of Mathematics, University of Mazandaran, Babolsar, Iran
Abstract:

Cross-efficiency is a famous ranking method for data envelopment analysis (DEA) that deletes unrealistic weights pattern with no need to a priori information ‎related ‎to ‎weights ‎restrictions. ‎This‎ method analyzes each decision making unit (DMU) taking into account the best weights resulted from assessing other DMUs. In cross-efficiency evaluation, secondary goals such as aggressiveness, benevolence and neutrality are used because there are alternative optimal solutions. The neutral secondary goal makes the decision maker have no problem in selecting the aggressive and benevolent secondary goals. In the article at hand, a new secondary purpose is introduced which ‎selects the ‎ ‎optimal ‎weight ‎among the ‎multiple‎ optimal ‎weights based on the evaluation of ideal virtual DMUs corresponding ‎to ‎each ‎DMU. Since this kind of ‎weight selection does not lead to any increase or decrease in other DMUs’ cross-efficiency, the new secondary goal is neutral. The advantage of this method over other methods is that the selected ‎weights are the best ‎possible weights, because it maximizes the ideal virtual DMUs’ efficiciency score corresponding ‎to ‎each ‎DMU. ‎For this purpose‎, some examples are used to illustrate  its difference with other methods‎.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Secondary Goal in DEA Cross Efficiency Evaluation

Data envelopment analysis (DEA) is a method for estimating efficiency of decision making units (DMU).The method done by means of weighted output to input ratio with the weights being optimal virtual prices of such activities for all units. Cross efficiency evaluation has long been proposed as an alternative method for ranking DMUs. The major problem that reduced the usefulness of cross efficien...

full text

IMPROVING THE SELECTION SYMMETRIC WEIGHTS AS A SECONDARY GOAL IN DEA CROSS-EFFICIENCY EVALUATION

Recently, some authors proposed the use of symmetric weightsfor computing the elements of cross-efficiency matrix. In spite ofthe fact that the proposed method decreases the number of zeroweights, a large number of zero weights may still exist among inputand output symmetric weights. To decrease the number of input andoutput symmetric weights, this paper improves the proposed secondarygoal mode...

full text

A New Goal programming approach for cross efficiency evaluation

Cross efficiency evaluation was developed as an extension of DEA. But the traditional DEA models usually have alternative optimal solutions and, as a result, cross efficiency scores may not be unique. It is recommended that without changing the DEA efficiency scores, the secondary goal should be introduced for optimization of the inputs/outputs weights.  Several reports evaluated the perfo...

full text

An Alternative Secondary Goal Approach to Modify Cross Efficiency Evaluation in Data Envelopment Analysis

The cross efficiency evaluation is used to performance measurement of decision making units in data envelopment analysis concept. One of the most important shortcoming of this method is existing alternative optimal solution and therefore, the efficiency scores are not unique. We are going to summarize the pervious models proposed by researchers and suggest an alternative secondary goal approach...

full text

Cross-efficiency evaluation by the use of ideal and anti-ideal virtual DMUs’ assessment in DEA

To rank Decision Making Units (DMU) in Data Envelopment Analysis (DEA), the peer-evaluation based cross-efficiency method is generally used. Indeed, in this method, each DMU is evaluated from the view point of other DMUs. In this article, a method is suggested which instead examines each DMU just by using the weights resulting from the evaluation of ideal and anti-ideal virtual DMUs and thus ex...

full text

Introducing a secondary goal for evaluating DMUs by cross efficiency in data envelopment analysis

One way to rank DMUs in DEA is the cross efficiency method. In this method, the efficiencyof each DMU is calculated by other DMUs optimum weights, which makes the ranking moreacceptable for managers. Existing alternative optimum weights in cross efficiency methodlead to several ranks for DMUs. Several secondary goals have introduced to avoid thisproblem, till now. In this paper, a new model is ...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 12  issue 4

pages  509- 530

publication date 2019-11-01

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023