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

Year 2007, Issue: 3, 41 - 55, 01.04.2007

H. Hasan Örkçü İhsan Alp

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.

Keywords

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

Abstract

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.

Keywords

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• Erişim Tarihi: 20.05.2004