运筹学学报
運籌學學報
운주학학보
OR TRANSACTIONS
2012年
2期
41-50
,共10页
数据包络分析%不期望产出%保证域%CAR-DEA
數據包絡分析%不期望產齣%保證域%CAR-DEA
수거포락분석%불기망산출%보증역%CAR-DEA
data envelopment analysis%undesirable outputs%assurance region%CARDEA
现有环境效率评价的DEA方法没有考虑多维偏好约束问题,即不同决策单元对不同期望产出和不期望产出的偏好不同.以地区为例,不同地区对GDP、废水和废气赋予的权重偏好各不相同.在这种情况下,由于各决策单元的偏好约束不同,形成多维偏好约束集,在传统DEA模型中容易出现无可行解现象.针对这一问题,基于CAR-DEA方法,结合保证域理论,提出一种解决多维偏好约束集问题的环境效率评价模型.采用中国工业系统的环境效率评价实例对提出的方法进行了分析和说明.
現有環境效率評價的DEA方法沒有攷慮多維偏好約束問題,即不同決策單元對不同期望產齣和不期望產齣的偏好不同.以地區為例,不同地區對GDP、廢水和廢氣賦予的權重偏好各不相同.在這種情況下,由于各決策單元的偏好約束不同,形成多維偏好約束集,在傳統DEA模型中容易齣現無可行解現象.針對這一問題,基于CAR-DEA方法,結閤保證域理論,提齣一種解決多維偏好約束集問題的環境效率評價模型.採用中國工業繫統的環境效率評價實例對提齣的方法進行瞭分析和說明.
현유배경효솔평개적DEA방법몰유고필다유편호약속문제,즉불동결책단원대불동기망산출화불기망산출적편호불동.이지구위례,불동지구대GDP、폐수화폐기부여적권중편호각불상동.재저충정황하,유우각결책단원적편호약속불동,형성다유편호약속집,재전통DEA모형중용역출현무가행해현상.침대저일문제,기우CAR-DEA방법,결합보증역이론,제출일충해결다유편호약속집문제적배경효솔평개모형.채용중국공업계통적배경효솔평개실례대제출적방법진행료분석화설명.
The existing environmental efficiency evaluation DEA models have not considered the issue that different decision making units (DMUs) may impose different preferences on different outputs (desirable and undesirable outputs),e.g.,different DMUs may value GDP (desirable output),waste water discharge and waste gas emissions differently.This paper aims at addressing this problem.We present a DEA model incorporating desirable outputs and undesirable outputs,which can increase desirable outputs and decrease undesirable outputs simultaneously.To restrict DMUs' different preferences on outputs,we then extend the model by incorporating multiple sets AR constraints based on Context-Dependent Assurance Regions DEA approach (CAR-DEA) in recent DEA literature.An application of 30 regions in China with real data set is used to illustrate the proposed approach.