The lack of invariance of optimal dual solutions under translation

被引:15
作者
Thrall, RM [1 ]
机构
[1] RICE UNIV,HOUSTON,TX 77251
关键词
D O I
10.1007/BF02187296
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
It is shown that optimal dual solutions for the Additive and the BCC models are not invariant under translation. In particular, this implies that the Ali-Seiford (1990) and Pastor (in chapter 3) results on translations apply only to the envelopment portion of DEA and thus do not, in particular, deal fully with domains having nonnegative inputs and outputs (but with no zero input or output vector).
引用
收藏
页码:103 / 108
页数:6
相关论文
共 5 条
[1]   TRANSLATION-INVARIANCE IN DATA ENVELOPMENT ANALYSIS [J].
ALI, AI ;
SEIFORD, LM .
OPERATIONS RESEARCH LETTERS, 1990, 9 (06) :403-405
[2]   SOME MODELS FOR ESTIMATING TECHNICAL AND SCALE INEFFICIENCIES IN DATA ENVELOPMENT ANALYSIS [J].
BANKER, RD ;
CHARNES, A ;
COOPER, WW .
MANAGEMENT SCIENCE, 1984, 30 (09) :1078-1092
[3]   ESTIMATION OF RETURNS TO SCALE USING DATA ENVELOPMENT ANALYSIS [J].
BANKER, RD ;
THRALL, RM .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1992, 62 (01) :74-84
[4]  
Charnes A., 1991, J PROD ANAL, V2, P197, DOI DOI 10.1007/BF00159732
[5]  
THOMPSON RG, 1994, POLYHEDRAL ASSURANCE, V4, P121