A New Model Based on Classification Criteria for Ranking Decision Making Units in Data Envelopment Analysis

Year 2005, Volume: 4 Issue: 2, 15 - 25, 15.08.2005

Hasan Bal H. Hasan Örkcü

Abstract

In this study, Multi Criteria Data Envelopment Analysis model based on classification criteria is developed as an alternative to cross efficiency and super efficiency methods in literature for ranking Decision Making Units (DMU) in Data Envelopment Analysis (DEA). Our suggested model considers both relative efficiency concept in data envelopment analysis and minimizing sum of external deviations. The real data set of member of sixteen NATO countries are used in order to show the applicability of our suggested model.

Keywords

Data Envelopment Analysis, Ranking Problem, Goal Programming, Classification

Veri Zarflama Analizi'nde Karar Verme Birimlerinin Sıralanması için Sınıflandırma Kriteri Tabanlı Yeni Bir Model

Abstract

Bu çalışmada, Veri Zarflama Analizi (VZA)'nde Karar Verme Birimleri (KVB)'nin sıralanmasında, literatürdeki çapraz etkinlik ve süper etkinlik yöntemlerine bir alternatif olarak, sınıflama tabanlı Çok Kriterli Veri Zarflama Analizi modeli geliştirildi. Önerilen model, hem Veri Zarflama Analizindeki göreli etkinlik kavramını hem de dış sapmalar toplamının minimum yapılması kriterini kullanmaktadır. Önerilen modelin uygulanabilirliğini göstermek için NATO üyesi 16 ülkeye ait gerçek veri seri kullanıldı.

Keywords

Veri Zarflama Analizi, Sıralama Problemi, Hedef Programlama, Sınıflandırma

References

• ADLER, N., FRIEDMAN L., SINUANY-STERN Z., (2002), Review of Ranking Methods in the Data Envelopment Analysis Context, European Journal of Operational Research, 140: 249–265.
• ANDERSEN, P., PETERSEN, N.C., (1993), A Procedure for Ranking Efficient Units in Data Envelopment Analysis, Management Science, 39(10), 1261-1294.
• CHARNES A, COOPER W.W., RHODES E., (1978), Measuring the Efficiency of Decision Making Units", European Journal of Operational Research, 2, 429-444.
• CHEN, Y., SHERMAN, H.D., (2004), The Benefits of Non-Radial v.s. Radial Super efficiency DEA: an Application to Burden-Sharing Amongst NATO Member Nations, Socio-Economic Planning Sciences, 38, 307-320.
• COOPER, W.W., SEIFORD, L.M., TONE, K., (2000), Data Envelopment Analysis, Boston USA, Kluwer Academic Publishers.
• FARRELL M.J., (1957), The Measurement of Productivity Efficiency, Journal of Royal Statistical Society, Serie A, CXX, 253-287.
• FRED, N., GLOVER, F. (1981), A Linear Programming Approach to the Discriminant Problem, Decision Sciences, 12, 68-74.
• GAMGAM, H., (1998), Parametrik Olmayan İstatistiksel Teknikler, Gazi Üniversitesi, Ankara, Türk Hava Kurumu Basımevi.
• RETZLAFF-ROBERTS, D.L., (1996), Relating Discriminant Analysis and Data Envelopment Analysis to one Another, European Journal of Operational Research, 23, 311-322
• SEXTON, T.R., SILKMAN, R.H., HOGAN, H.J., (1986), Data Envelopment Analysis: Critique and Extension, Jossey-Bass, San Fransisco.
• SUEYOSHI, T., (1999), DEA-Discriminant Analysis in the View of Goal Programming, European Journal of Operational Research, 115, 564-582.