Computational strategy for Russell measure in DEA: Second-order cone programming

European Journal of Operational Research

Volumn 180, Issue 1, 2007, Pages 459-471

  Sueyoshi, Toshiyuki ^a,b   Sekitani, Kazuyuki ^c  

^a NEW MEXICO INSTITUTE OF MINING AND TECHNOLOGY   (United States)

^b NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^c SHIZUOKA UNIVERSITY   (Japan)

Author keywords

DEA; Interior point method; Second order cone programming

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; NONLINEAR PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING;

DATA ENVELOPMENT ANALYSIS (DEA); INTERIOR POINT METHOD; SECOND-ORDER CONE PROGRAMMING (SOCP);

COMPUTATIONAL METHODS;

EID: 33846305063     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2006.02.042     Document Type: Article

References (22)

1. Bardhan I., Bowlin W.F., Cooper W.W., and Sueyoshi T. Models and measures for efficiency dominance in DEA: Part II. Journal of the Operational Research Society of Japan 39 (1996) 333-334
2. Ben-Tal A., and Nemirovski A. Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications (2001), SIAM, Philadelphia
3. Blackorby C., and Russell R.R. Aggregation of efficiency indices. Journal of Productivity Analysis 12 (1999) 5-20
4. Charnes A., and Cooper W.W. Programming with linear fractional functionals. Naval Research Logistics Quarterly 9 (1962) 181-186
5. Charnes A., Cooper W.W., and Rhodes E. Measuring the efficiency of decision making units. European Journal of Operational Research 2 (1978) 429-444
6. Cooper, W.W., Pastor, J.T., 2003. Efficiency aggregation with enhanced Russell measures in DEA Working Paper. University of Texas at Austin, Austin, TX 78712-1174, USA.
7. Cooper W.W., Park K.S., and Pastor J.T. RAM: A range adjusted measure of inefficiency for use with additive models and relations to other models and measures in DEA. Journal of Productivity Analysis 11 (1999) 5-42
8. Debreu G. The coefficient of resource utilization. Econometrica 19 (1951) 273-292
9. Färe R., and Lovell C.A.K. Measuring the technical efficiency of production. Journal of Economic Theory 19 (1978) 150-162
10. Färe R., and Zelenyuk V. On aggregate Farrell efficiencies. European Journal of Operational Research 146 (2003) 615-620
11. Farrell M.J. The measurement of productive efficiency. Journal of the Royal Statistical Society A 120 (1957) 253-261
12. Lobo M.S., Vandenberghe L., Boyd S., and Lebret H. Applications of second-order cone programming. Linear Algebra and its Applications 284 (1998) 193-228
13. Pastor J.T., Ruiz J.L., and Sirvent I. An enhanced Russell graph efficiency measure. European Journal of Operational Research 115 (1999) 596-607
14. Renato D.C., Monterio K., and Tsuchiya T. Polynomial convergence of primal-dual algorithms for the second-order cone program on the MZ-family of directions. Mathematical Programming 88 (2000) 61-83
15. Russell R.R. Measures of technical efficiency. Journal of Economic Theory 35 (1985) 109-126
16. Russell R.R. Continuity of measures of technical efficiency. Journal of Economic Theory 51 (1990) 255-267
17. Sueyoshi T. DEA duality on returns to scale (RTS) in production and cost analyses: An occurrence of multiple solutions and differences between production-based and cost-based RTS estimates. Management Science 45 (1999) 1593-1608
18. Tavares, G., 2002. A Bibliography of Data Envelopment Analysis (1978-2001). Rutcor Research Report, Rutgers Unviersity, 640 Bartholmew Road, Piscataway, NJ, USA.
19. Toh K.C., Todd M.J., and Tutuncu R.H. SDPT3 - a Matlab Software Package for Semidefinite Programming, Version 2.1. Optimization Methods and Software 11 (1999) 545-581
20. Tone K. A slacks based measure of efficiency in data envelopment analysis. European Journal of Operational Research 130 (2001) 498-509
21. Wolkowicz H., Saigal R., and Vandenberghe L. Handbook of Semi-definite Programming - Theory, Algorithms, and Applications (2000), Kluwer Academic Publishers, Boston
22. Zieschang K. An extended Farrell technical efficiency measure. Journal of Economic Theory 33 (1983) 387-396