Veröffentlichung

Titel:

Returns to Scale Revisited - Towards Cross-RTS

AutorInnen:

Rödder, W.
Kleine, A.
Dellnitz, A.

Kategorie:

Gesamtverzeichnis

Forschungsthema:

Data Envelopment Analysis

 

SSRN Working Paper, Dezember 2012.

Abstract:

In recent DEA literature we observe an increasing interest in crosswise evaluation of DMUs by other DMUs. One reason for this interest is an obvious shortcoming with the so called 'self-appraisal' approach which permits each unit to score its own (in-) efficiency in the most favorable way. A supervising institution might oppose such opportunistic attitude and force the DMUs to accept the weight system of a so called peer DMU as a common denominator for them all. This unification has far-reaching consequences, however. Inefficient DMUs now must improve their respective (cross-)efficiency from the viewpoint of a peer rather than from their own position. Efficiency is one economic aim for units such as fabs, projects or non-profit utilities -- returns to scale is the other. In this paper exact measures of the DMUs' returns are developed, be them efficient or not, and generalized even for non-unique returns. A natural analogue for cross-efficiencies then are cross-returns. Cross-returns to scale again are returns of DMUs from the viewpoint of other DMUs. The peer-seeking approach for good cross-efficiencies now is completed by a likewise challenging search for acceptable returns to scale. Numerical examples and respective illustrations complement all theoretical considerations. A real world application for automotive suppliers demonstrates the relevance of such theory.