Multiplier bounds in DEA via strong complementary slackness condition solution

Abstract Data envelopment analysis (DEA) is a methodology for evaluating the relative efficiency of peer decision making units (DMUs) with multiple inputs and multiple outputs. In DEA evaluation, the efficiency scores for inefficient DMUs are obtained by calculating the proportional input or output Changes required to reach the DEA efficient frontier. It is likely that further individual input and output changes can be made to improve the performance. Such individual changes are called DEA slacks which also represent inefficiency. Methods have been developed to deal with the non-zero DEA slacks by re-shaping the original DEA frontier. This paper develops an alternative approach to eliminate the non-zero DEA slacks while keeping the original DEA frontier unchanged.

[1]  Robert M. Thrall,et al.  Chapter 5 Duality, classification and slacks in DEA , 1996, Ann. Oper. Res..

[2]  A. Charnes,et al.  Polyhedral Cone-Ratio DEA Models with an illustrative application to large commercial banks , 1990 .

[3]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[4]  P. Andersen,et al.  A procedure for ranking efficient units in data envelopment analysis , 1993 .

[5]  Russell G. Thompson,et al.  Sensitivity Analysis of Efficiency Measures with Applications to Kansas Farming and Illinois Coal Mining , 1994 .

[6]  Russell G. Thompson,et al.  The role of multiplier bounds in efficiency analysis with application to Kansas farming , 1990 .

[7]  Sumit Sircar,et al.  The relationship between benchmark tests and microcomputer price , 1986, CACM.

[8]  A. Charnes,et al.  A structure for classifying and characterizing efficiency and inefficiency in Data Envelopment Analysis , 1991 .

[9]  B. Golany,et al.  Controlling Factor Weights in Data Envelopment Analysis , 1991 .

[10]  Lawrence M. Seiford,et al.  INFEASIBILITY OF SUPER EFFICIENCY DATA ENVELOPMENT ANALYSIS MODELS , 1999 .

[11]  W W Cooper,et al.  PROGRAMMING WITH LLINEAR FRACTIONAL , 1962 .

[12]  A. Bessent,et al.  Efficiency Frontier Determination by Constrained Facet Analysis , 1988, Oper. Res..

[13]  Wade D. Cook,et al.  Efficiency bounds in Data Envelopment Analysis , 1996 .

[14]  A. Charnes,et al.  Data Envelopment Analysis Theory, Methodology and Applications , 1995 .

[15]  Kuo-Ping Chang,et al.  Linear production functions and the data envelopment analysis , 1991 .

[16]  John Doyle,et al.  Strategic choice and data envelopment analysis: comparing computers across many attributes , 1994, J. Inf. Technol..