Using DEA to obtain efficient solutions for multi-objective 0-1 linear programs

European Journal of Operational Research

Volumn 126, Issue 1, 2000, Pages 51-68

  Liu, Fuh Hwa Franklin ^a   Huang, Chueng Chiu ^b   Yen, Yu Lee ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

^b NATIONAL YUNLIN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DECISION MAKING; DECISION THEORY; INDUSTRIAL MANAGEMENT; LINEAR PROGRAMMING; RESOURCE ALLOCATION;

DATA ENVELOPMENT ANALYSIS; MULTI-OBJECTIVE RESOURCE ALLOCATION PROBLEMS (MRAP);

OPERATIONS RESEARCH;

EID: 0034299687     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(99)00279-9     Document Type: Article

References (18)

1. Banker R.D., Charnes A., Cooper W.W. Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science. 30(9):1984;1078-1092.
2. Bazaraa M.S., Sherali H.D. On the choice of step size in subgradient optimization. European Journal of Operational Research. 7:1981;380-388.
3. Bazaraa M.S., Sherali H.D., Shetty C.M. Nonlinear Programming. 1993;Wiley, New York.
4. Bitran G.R. Theory of algorithms for linear multiple objective programs with zero-one variables. Mathematical Programming. 17:1979;362-390.
5. Charnes A., Cooper W.W., Rhodes E. Measuring the efficiency of decision making units. European Journal of Operational Research. 2:1978;429-444.
6. Deckro R.F., Winkofsky E.P. Solving zero-one multiple objective programs through implicit enumeration. European Journal of Operational Research. 12:1983;362-374.
7. Evans G.W. An overview of techniques for solving multi-objective mathematical programs. Management Science. 30(11):1984;1268-1282.
8. Farrel M.J. The measurement of productive efficiency. Journal of Royal Statistical Society, Series A, 120:1957;253-290.
9. Gilbert K.C., Holmes D.D., Rosenthal R.E. A multi-objective discrete optimization model for land allocation. Management Science. 31(12):1985;1509-1522.
10. Graves S.B., Ringuest J.L., Brad J.F. Recent developments in screening methods for non-dominated solutions in multi-objective optimization. Computer and Operation Research. 19(7):1992;683-694.
11. Nemhauser G.L., Wolsey L.A. Integer and Combinatorial Optimization. 1988;Wiely, New York.
12. H. Pasternak, V. Passy, Bicriterion mathematical programs with Boolean variables, in: J.L. Cochrane, M. Zeleny (Eds.), Multiple Criterion Decision Making, University of South Carolina Press, Columbia, SC, 1973.
13. Ramanathan R., Ganesh L.S. Using AHP for resource allocation problems. European Journal of Operational Research. 80:1995;410-417.
14. Schniederjans M.J., Santhanam R.A. Multi-objective constrainted resource information system project selection method. European Journal of Operational Research. 70(2):1993;244-253.
15. L.K. Sengupta, Efficiency analysis by production frontiers, in: The Nonparametric Approach, Kluwer Academic Publishers, Boston, 1989.
16. Shephard R.W. Theory of Cost and Production Functions. 1970;Princeton University Press, Princeton, NJ.
17. Sinuany-Stern Z. A network optimization model for budget planning in multi-objective hierarchical systems. Journal of the Operational Research Society. 44(3):1993;297-308.
18. Teng J.Y., Tzeng G.H. A multiobjective programming approach for selecting non-independent transportation investment alternatives. Transportation Research B. 30(4):1996;291-307.