Journals / Verimlilik Dergisi / 2007 / Cilt: 2007 - Sayı: 3

A Monte Carlos Study Over the Efficiency Evaluation of Regular Hierarchical Decision Making Units

Düzenli Hiyerarşik Karar Verme Birimlerinin Etkinlik Değerlendirmesi Üzerine Bir Monte Carlo Çalışması

Pages
41–55
Publication Date
2007-04-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Trials applied for CCR and BCC, two of the DEA models obtained the paralel results to each others.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the two possible techniques of computing efficiency scores of the upper decision making units (uDMU) which contain a lot of sub decision making units (sDMU) and whose inputs and outputs can be summable, are compared with the Monte Carlo technique.
📊
Key Findings & Data:This problem appeared while the 2002 FIFA World Cup teams'efficiency scores are computed.
💡
Conclusion & Impact:Trials applied for CCR and BCC, two of the DEA models obtained the paralel results to each others.
🔬Design:Modeling & Simulation
📍Scope:2002 Verileri
⚙️Variables:Domain Parameters

Abstract

In this study, the two possible techniques of computing efficiency scores of the upper decision making units (uDMU) which contain a lot of sub decision making units (sDMU) and whose inputs and outputs can be summable, are compared with the Monte Carlo technique. This problem appeared while the 2002 FIFA World Cup teams'efficiency scores are computed. Each players can be thought as an sDMU and each team can be thought as an uDMU. Team's efficiency score can be computed by the help of the player efficiency scores or the team data. The results obtained by two techniques are tested by Mann-Whitney U test. The situataion that uDMU's contain sDMU's having the same size repeated for trials with different uDMU and different numbers of inputs and outputs. Trials applied for CCR and BCC, two of the DEA models obtained the paralel results to each others.

Özet

Bu çalışmada her biri birçok alt karar verme birimlerinden (AKVB) oluşan, girdi ve çıktıları toplanabilir üst karar verme birimlerinin (UKVB) etkinlik skorlarını hesaplamada olası iki yolun Monte Carlo yöntemi ile karşılaştırılması yapıldı. Problem 2002 FİFA Dünya Kupası takımlarının etkinlik skorları değerlendirmesi sırasında ortaya çıktı. Oyuncular birer AKS/B ve takımlar UKVB gibi düşünülebilir. Takım etkinlik skoru oyuncu etkinlik skorlarından ya da takım verilerden hareketle hesaplanabilir. İki yolla elde edilen sonuçlar Mann Whitney U testiyle test edildi. UKVB'lerin aynı çaplı AKVB'lerden oluşması durumu, faklı UKVB ve farklı girdi çıktı sayılı denemeler için tekrarlandı. VIA modellerinden CCR ve BCCiçin yapılan denemelerden birbirine paralel sonuçlar elde edildi.

🔖

Cite This Article

ÖRKÇÜ, H. H., ALP, İ. (2007). A Monte Carlos Study Over the Efficiency Evaluation of Regular Hierarchical Decision Making Units. Verimlilik Dergisi, Cilt: 2007 - Sayı: 3, 41–55. https://ajindex.com/articles/24644

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (2)

  1. BANKER,R.D.,CHARNES,A.,COOPER,W.W.,(1984),Somemodels for esti mating technical and scale inefficiencies in data envelopment analysis, Management Science, 30(9), 1078-1092 2. BANKER, R.D., GADH, V.M., GORR, W.L., (1993), A monte carlo comparison of two production frontier estimation methods: corrected ordinary le ast squares and data envelopment analysis, European Journal of Opera tional Research, 67,332-343 3. BANKER R. D., CHANG H., COOPER W.W., (2004), A simulation study of DEA and parametric frontier models in the presence of heteroscedasti city, European Journal of Operational Research, 153,324-340 4. BARDHAN I.R., COOPER W.W., KUMBHAKAR S.C, (1998), A simulation study of joint uses od Data Envelopment Analysis and Statistical Reg ressions for Production Function Estimation and Efficiency Evaluation, Journal of Productivity Analysis, 9,249-278 5. BIFULCO R., BRETSCHNEIDER S., (2001), Estimating school efficiency: A comparison of methods using simulated data, Economics and Educaton Review, 20,417-429 6. BOJANIC A. N., CAUDILL S. B., FORD J. M., (1998),
  2. Small-sample properties of ML, COLS and DEA estimators of frontier models in the presence of heteroscedasticity, European Journal of Operational Research, 108, 140-148 7. CHAPARRO F. P., JIMENEY J.S., (1997), On the role of weight restrictions in DEA, Journal of Productivity Analysis, 8,215-230 8. CHARNES A, COOPER W.W., RHODES E., (1978), The efficiency of decision making units", European Journal of Operational Research, 2,429-444 9. DEBREU G., (1951), The coefficient of resource utilisation, Econometrica,19,273-292 10. DESAI A., RATICK J. S., SCHINNAR A. P., (in pres), Data Envelopment Analysis with stochastic variations in data, Socio Economic Planning Scien ces 11. FARRELL M J., (1957), The measurement of productivity efficiency, Jour nal of Royal Statistical Society, Serie A, CXX, 253-287 12. GONG, B., SICKLESS, R.C., (1992), Finite sample evidence on the perfor mance of stochastic frontiers and data envelopment analysis using pa nel data, Journal of Econometrics, 51,259-284 13. GOTTOUFI S., ORAL M., RE ISM AN A., (2003) "Data Envelopment Analysis literature a bibliyograpy uptade (1951-2001), Socio Economic Planning Sciences, doi: 10.(016/50038-0121 14. GOTTOUFI S., ORAL M., REISMAN A., (2004), A taxonomy for data enve lopment analysis, Socio Economic Planning Sciences, 38,141-158 15. HAAS D. A., MURPHY F.H., (2003), Compesanting for non-homogeneity in decision making units in data envelopment ana