A CHIM-based interactive Tchebycheff procedure for multiple objective decision making

Computers and Operations Research

Volumn 33, Issue 6, 2006, Pages 1557-1574

  Kim, Jaehee ^a   Kim, Sheung Kown ^b  

^a Korea Railroad Research Institute   (South Korea)

^b Korea University   (South Korea)

Author keywords

Convex hull of individual maxima; Multiple criteria decision making; Reference points; Tchebycheff approach; Well distributed Pareto optimal solutions

Indexed keywords

BOUNDARY CONDITIONS; DECISION MAKING; PARAMETER ESTIMATION; PARETO PRINCIPLE; SET THEORY; VECTORS;

CONVEX HULL OF INDIVIDUAL MAXIMA; MULTIPLE CRITERIA DECISION MAKING; REFERENCE POINTS; TCHEBYCHEFF APPROACH; WELL-DISTRIBUTED PARETO-OPTIMAL SOLUTIONS;

OBJECT ORIENTED PROGRAMMING;

EID: 27344447763     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2004.11.007     Document Type: Article

References (12)

1. A.M. Geoffrion Proper efficiency and the theory of vector maximization Journal of Mathematical Analysis and Application 22 1968 618 630
2. R.E. Steuer Multiple criteria optimization theory, computation, and application 1986 Wiley New York
3. R.E. Steuer, and E.U. Choo An interactive weighted Tchebycheff procedure for multiple objective programming Mathematical Programming 26 1983 326 344
4. M. Sun, A. Stam, and R.E. Steuer Interactive multiple objective programming using Tchebycheff programs and artificial neural networks Computers and Operations Research 27 8 2000 601 620
5. I. Das, and J.E. Dennis A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems Structural Optimization 14 1997 63 69
6. A.P. Wierzbicki The use of reference objective in multiobjective optimization G. Fandel T. Gal Multiple criteria decision making, theory and application 1980 Springer Berlin 468 486
7. L.S. Franz, and S.M. Lee A goal programming based interactive decision support system Lecture notes in economics and mathematical systems vol. 190 1980 Springer Berlin 110 115
8. R.E. Steuer, J. Silverman, and A.W. Whishman A combined Tchebycheff/aspiration criterion vector interactive multiobjective programming procedure Management Science 39 1993 1255 1260
9. G.R. Reeves, and K.R. MacLeod Some experiments in Tchebycheff-based approaches for interactive multiple objective decision making Computers and Operations Research 26 13 1999 1311 1321
10. I. Das, and J.E. Dennis Normal-boundary intersection a new method for generating the Pareto surface in nonlinear multicriteria optimization problems SIAM Journal on Optimization 8 1998 631 657
11. ILOG Inc. ILOG CPLEX 7.0.user's manual. ILOG Inc. 1999, http://www.ilog.com.
12. R.E. Steuer Manual for the ADBASE multiple objective linear programming package 1992 University of Georgia Athens