caa a22 4500 445830778 CHVBK 20180317145314.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s10255-011-0075-9 doi (NATIONALLICENCE)springer-10.1007/s10255-011-0075-9 Dynamic concept of returns to scales and its characteristics on production frontier in intersection form [Elektronische Daten] [Quan-ling Wei, Hong Yan] 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. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 DEA nationallicence production possibility set nationallicence returns to scale nationallicence Wei Quan-ling Institute of Operations Research and Mathematical Economics, Renmin University of China, 100872, Beijin, China aut Yan Hong Department of Logistics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China aut Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/3(2011-07-01), 355-366 0168-9673 27:3<355 2011 27 10255 https://doi.org/10.1007/s10255-011-0075-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0075-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wei Quan-ling Institute of Operations Research and Mathematical Economics, Renmin University of China, 100872, Beijin, China aut NATIONALLICENCE 700 1- Yan Hong Department of Logistics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/3(2011-07-01), 355-366 0168-9673 27:3<355 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer