Abstract
This paper gives a dynamic concept and a new non-parametric method for evaluating returns to scale (RTS) of economic units with multiple inputs and outputs. It is frequently noticed that when we increase the input of a decision making unit (DMU) with a certain status of RTS, different status of RTS is observed. For example, when we increase the input of a DMU with constant RTS under the traditional method, a decreasing RTS is often observed instead of the expected constant RTS. We thus define the RTS of each DMU in both input expansion and contraction regions respectively. The research starts from transferring the production possibility set into the intersection form, by giving the explicit linear inequality representation of production frontiers. The RTS structural characteristics of DMUs' on the production frontier are described. Status of RTS of those DMUs on the production frontier include increasing RTS, constant RTS, decreasing RTS, saturated RTS and evidence of congestion. Necessary and sufficient conditions for RTS evaluation are provided. The definition and evaluation method given here provide more detailed economic characteristics of DMU for policy makers.
Original language | English |
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Pages (from-to) | 355-366 |
Number of pages | 12 |
Journal | Acta Mathematicae Applicatae Sinica |
Volume | 27 |
Issue number | 3 |
DOIs | |
Publication status | Published - 21 Jul 2011 |
Keywords
- DEA
- production possibility set
- returns to scale
ASJC Scopus subject areas
- Applied Mathematics