scholarly journals Performance measurement using a novel directional distance function based super efficiency model and neighborhood theory

Author(s):  
Subhadip Sarkar

This paper entails a systematic approach for measuring the Super Efficiency Scores of a set of rival firms. This evaluation process is dependent on the location of the worst Decision-Making Unit retained by the technology set. Unlike antecedent researches, the worst point is selected from a predefined neighbourhood with an application of a linear model. Finally, the new Super Efficiency model measures the Efficiency score while embedding the worst point within the direction vector. This two-stage model is akin to the standard form of a Directional Distance Function and does not end up with problems of infeasibility, negative data or zero data. In other words, the method is found robust to classify the Decision Making Units into the Super-Efficient, Strongly Efficient, Weakly Efficient and Inefficient groups. Two cases once addressed by Seiford and Zhu (1997) and Byrnes et al. (1984) are illustrated here to explore the functionality of the model in comparison to a few renowned ones.

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Reza Kiani Mavi ◽  
Sajad Kazemi ◽  
Jay M. Jahangiri

Data envelopment analysis (DEA) is used to evaluate the performance of decision making units (DMUs) with multiple inputs and outputs in a homogeneous group. In this way, the acquired relative efficiency score for each decision making unit lies between zero and one where a number of them may have an equal efficiency score of one. DEA successfully divides them into two categories of efficient DMUs and inefficient DMUs. A ranking for inefficient DMUs is given but DEA does not provide further information about the efficient DMUs. One of the popular methods for evaluating and ranking DMUs is the common set of weights (CSW) method. We generate a CSW model with considering nondiscretionary inputs that are beyond the control of DMUs and using ideal point method. The main idea of this approach is to minimize the distance between the evaluated decision making unit and the ideal decision making unit (ideal point). Using an empirical example we put our proposed model to test by applying it to the data of some 20 bank branches and rank their efficient units.


2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Ali Mirsalehy ◽  
Mohd Rizam Abu Bakar ◽  
Lai Soon Lee ◽  
Azmi B. Jaafar ◽  
Maryam Heydar

A novel technique has been introduced in this research which lends its basis to the Directional Slack-Based Measure for the inverse Data Envelopment Analysis. In practice, the current research endeavors to elucidate the inverse directional slack-based measure model within a new production possibility set. On one occasion, there is a modification imposed on the output (input) quantities of an efficient decision making unit. In detail, the efficient decision making unit in this method was omitted from the present production possibility set but substituted by the considered efficient decision making unit while its input and output quantities were subsequently modified. The efficiency score of the entire DMUs will be retained in this approach. Also, there would be an improvement in the efficiency score. The proposed approach was investigated in this study with reference to a resource allocation problem. It is possible to simultaneously consider any upsurges (declines) of certain outputs associated with the efficient decision making unit. The significance of the represented model is accentuated by presenting numerical examples.


2016 ◽  
Vol 23 (1) ◽  
pp. 165-182 ◽  
Author(s):  
Asmita Chitnis ◽  
Omkarprasad S Vaidya

Purpose – The purpose of this paper is to present a tie-breaking procedure for computing performance efficiencies to improve benchmarking and performance evaluation process in a business situation. Design/methodology/approach – The authors propose a unified approach based on data envelopment analysis (DEA) and technique for order of preference by similarity to ideal solution (TOPSIS), to overcome the difficulty of unique ranking in the prevalent benchmarking and performance evaluation processes such as DEA, Super efficiency DEA model, etc., under constant return to scale (CRS) assumption. This model is called as efficiency ranking method using DEA and TOPSIS (ERM-DT). In order to check the consistency of the approach, various input-output combinations (to calculate the efficiencies) have been illustrated. Further, the authors present a case of an Indian Bank to illustrate an application of the proposed approach. Findings – The proposed approach, ERM-DT enables assign a unique rank to decision making units and provides a tie breaking procedure. Results obtained using the proposed approach are statistically compared with those obtained from the CRS DEA approach and super efficiency DEA approach using Friedman’s test. Practical implications – The proposed model provides an efficiency ranking method based on a score obtained by considering the minimum distance from the best value and maximum distance from the worst value. The proposed methodology is capable of handling negative data and undesirable output variables. This approach is unit invariant and makes the calculations simple. The authors present an application to compute the efficiency of various branches of an Indian bank. The authors hope the proposed method can enhance the decision-making ability of the management in complex situations. Originality/value – The authors propose an integrated DEA and TOPSIS framework for better benchmarking and performance evaluation. This approach provides a tie-breaking procedure for the efficiencies computed using CRS DEA approach. Ranks are assigned based on score obtained by considering the distance from the worst and the best solution. The proposed approach can be used with non-positive data points and undesirable output variables.


2015 ◽  
Author(s):  
Ευθύμιος Νικολόπουλος

Η συγκριμένη διατριβή ερευνά την αποδοτικότητα και τη συγκριτική θέση των χωρών όσον αφορά τις Άμεσες Ξένες Επενδύσεις (ΑΞΕ). Οι προσεγγίσεις και η μεθοδολογία είναι καινοτόμες και αναφέρονται σε θέματα τα οποία δεν έχουν ερευνηθεί ικανοποιητικά. Συγκεκριμένα η διατριβή αποδεικνύει ότι η δημιουργία της Οικονομικής Νομισματικής Ένωσης (ΟΝΕ) είχε μικτά αποτελέσματα όσον αφορά τις εισροές των ΑΞΕ ανάμεσα στις χώρες μέλη, με θετική σχέση για τις «χώρες του πυρήνα της ένωσης» και αρνητική σχέση για τις χώρες τις περιφέρειας. Επιπλέον όσον αφορά την Ελλάδα, δημιουργήθηκε ένα συγκριτικός δείκτης ελκυστικότητας Άμεσων Ξένων Επενδύσεων (οι βαρύτητες υπολογίστηκαν με βάση ερωτηματολόγιο το οποίο συμπλήρωσαν ξένοι επενδυτές), ο οποίος προσφέρει σημαντική πληροφόρηση προκειμένου να σχεδιαστούν αντίστοιχες παρεμβάσεις/ στρατηγική. Επίσης υπολογίστηκε ένας δείκτης Αποδοτικότητας Άμεσων Ξένων Επενδύσεων ο οποίος είναι ένας νέος καινοτόμος δείκτης, χρήσιμος για την ανάλυση των Άμεσων Ξένων Επενδύσεων μίας χώρας. Το μοντέλο που χρησιμοποιήθηκε για το δείκτη Αποδοτικότητας Άμεσων Ξένων Επενδύσεων είναι ένα Generalized directional distance function σε συνδυασμό με super-efficiency Data Envelopment Analysis, το οποίο επιτρέπει τον υπολογισμό στόχου όσον αφορά το δυνητικό FDI, τόσο σε απόλυτους όρους όσο και σε όρους σχετικής απόδοσης.


Omega ◽  
2013 ◽  
Vol 41 (3) ◽  
pp. 621-625 ◽  
Author(s):  
Yao Chen ◽  
Juan Du ◽  
Jiazhen Huo

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