Performance Measurement with Stochastic Data Envelopment Analysis: Comparative Analysis of Turkish Electricity Distribution Companies

Öz

In this study, performance measurement and efficiency benchmarking of Turkey’s 21 electricity distribution companies were aimed. Random input and output variables of distribution companies are included in the stochastic input and output oriented chance constrained Banker, Charnes and Cooper (BCC) Data Envelopment Analysis (DEA) models within the symmetric error structure. Deterministic input and output oriented BCC DEA models were compared with the stochastic models and stochastic measurement values were verified with the deterministic measurement values. The chance-constrained problems were created by uncertain data for stochastic DEA, then stochastic models were converted to deterministic equivalents and were linearized. Turkey's 21 electricity distribution companies have been accepted as decision-making units (DMUs) of DEA models. According to the efficiency results of deterministic and stochastic models, efficient and inefficient electricity distribution companies were determined. The objective is to add statistical noise to DEA models in the analyzed data and to obtain performance measurement in this direction. Noise element was included into the models within the scope of single factor symmetric error structure and the models were examined separately for each error level in order to examine the different results between the models. This study is the first approach that was performed to evaluate the power distribution companies to incorporate stochastic data into DEA within a symmetric error structure in Turkey.

Anahtar Kelimeler

• Stochastic data envelopment analysis,chance constrained stochastic programming,symmetric error structure

Stokastik Veri Zarflama Analizi ile Etkinlik Ölçümü : Türkiye Elektrik Dağıtım Şirketlerinin Karşılaştırmalı Analizi

Öz

Bu çalışmada, Türkiye’de bulunan 21 elektrik dağıtım şirketinin performans ölçümü ve etkinlik çerçevesinde kıyaslanması amaçlamıştır. Dağıtım şirketlerinin rasgele girdi ve çıktı değişkenleri, stokastik girdiye ve çıktıya yönelimli şans kısıtlı Banker, Charnes ve Cooper (BCC) Veri Zarflama Analizi (VZA) modellerine simetrik hata yapısı ile dâhil edilmiştir. Deterministik girdiye ve çıktıya yönelimli BCC VZA modelleriyle stokastik modeller karşılaştırılmış, stokastik ölçüm değerleri, deterministik ölçüm değerleriyle doğrulanmıştır. Çalışmada, belirsiz verilerle çalışan stokastik VZA için şans kısıtlı problemler oluşturulmuş, stokastik modeller deterministik eşdeğerlerine dönüştürülmüş ve doğrusallaştırılmıştır. VZA modellerinde Türkiye’nin 21 elektrik dağıtım şirketi karar verme birimleri (KVB) olarak kabul edilmiştir. Elde edilen sonuçlarla, deterministik ve stokastik modellerin etkinlik sonuçlarına göre, etkin ve etkin olmayan elektrik dağıtım şirketleri belirlenmiştir. Amaç, analiz edilen verilerde istatistiksel gürültüyü VZA modellerine ekleyip, performans ölçümünü bu doğrultuda gerçekleştirmektir. Modellere gürültü unsuru tek faktörlü simetrik hata yapısı kapsamında dâhil edilmiş, modeller arasındaki farklı sonuçları incelemek amacıyla her hata seviyesi için modeller ayrı ayrı ele alınmıştır. Çalışma, Türkiye'de elektrik dağıtım şirketlerinin değerlendirilmesinde, simetrik hata yapısı ile stokastik verileri VZA’ya dâhil eden ilk yaklaşımdır.

Anahtar Kelimeler

• Stokastik veri zarflama analizi,şans kısıtlı stokastik programlama,simetrik hata yapısı

Kaynakça

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