Some issues in measuring and reporting solution quality of interactive multiple objective programming procedures

European Journal of Operational Research

Volumn 162, Issue 2, 2005, Pages 468-483

  Sun, Minghe ^a  

^a UNIVERSITY OF TEXAS AT SAN ANTONIO   (United States)

Author keywords

Computational experiments; Interactive procedures; Multiple criteria analysis; Multiple criteria decision making; Multiple objective programming

Indexed keywords

COMPUTER PROGRAMMING; COMPUTER SOFTWARE; DECISION MAKING; FUNCTIONS; SET THEORY; VECTORS;

COMPUTATIONAL EXPERIMENTS; INTERACTIVE PROCEDURES; MULTIPLE CRITERIA ANALYSIS; MULTIPLE CRITERIA DECISION MAKING; MULTIPLE OBJECTIVE PROGRAMMING;

OPERATIONS RESEARCH;

EID: 9644275637     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2003.08.058     Document Type: Article

References (44)

1. Aksoy, Y., 1990. Interactive multiple objective decision making: A bibliography (1965-1988). Management Research News 13 (2), 1-8.
2. Aksoy, Y., Butler, T.W., Minor, E.D., 1996. Comparative studies in interactive multiple objective mathematical programming. European Journal of Operational Research 89 (3), 408-422.
3. Baba, N., Takeda, H., Miyake, T., 1988. Interactive multiobjective programming technique using random optimization method. International Journal of Systems Science 19 (1), 151-162.
4. Benayoun, R., de Montgolfier, J., Tergny, J., Laritchev, O., 1971. Linear programming with multiple objective functions: Step method (STEM). Mathematical Programming 1 (3), 366-375.
5. Buchanan, J., 1994. An experimental evaluation of interactive MCDM methods and the decision making process. Journal of the Operational Research Society 45 (9), 1050-1059.
6. Buchanan, J., Daellenbach, H.G., 1987. A comparative evaluation of interactive solution methods for multiple objective decision models. European Journal of Operational Research 24 (3), 353-359.
7. Crowder, H., Dembo, R.S., Mulvey, J.M., 1979. On reporting computational experiments with mathematical software. ACM Transactions on Mathematical Software 5 (2), 193-203.
8. Dell, R.F., Karwan, M.K., 1990. An interactive MCDM weight space reduction method utilizing a Tchebycheff utility function. Naval Research Logistics 37, 263-277.
9. Dyer, J.S., Fishburn, P.C., Steuer, R.E., Wallenius, J., Zionts, S., 1992. Multiple criteria decision making, multiattribute utility theory: The next ten years. Management Science 38 (5), 645-654.
10. Gardiner, L.R., Steuer, R.E., 1994. Unified interactive multiple objective programming. European Journal of Operational Research 74 (3), 391-406.
11. Geoffrion, A.M., Dyer, J.S., Feinberg, A., 1972. An interactive approach for multicriteria optimization, with an application to the operation of an academic department. Management Science 19 (4), 357-368.
12. Gibson, M., Bernardo, J.J., Chung, C., Badinelli, R., 1987. A comparison of interactive multiple objective decision making procedures. Computers and Operations Research 14, 97-105.
13. Hwang, C.L., Masud, A.S.M., 1979. Multiple objective decision making methods and applications, a state of the art survey. Lecture Notes in Economics and Mathematical Systems 164.
14. Isermann, H., Steuer, R.E., 1988. Computational experience concerning payoff tables and minimum criterion values over the efficient set. European Journal of Operational Research 22 (1), 44-55.
15. Jackson, R.H.F., Boggs, P.T., Nash, S.G., Powell, S., 1991. Guidelines for reporting results of computational experiments, Report of the Ad Hoc Committee. Mathematical Programming 49, 413-425.
16. Köksalan, M.M., Sagala, P.N.S., 1995. Interactive approaches for discrete alternative multiple criteria decision making with monotone utility functions. Management Science 41 (7), 1158-1171.
17. Korhonen, P., Laakso, J., 1986. A visual interactive method for solving the multiple criteria problem. European Journal of Operational Research 24 (2), 277-287.
18. Korhonen, P., Salo, S., Steuer, R.E., 1997. A heuristic for estimating nadir criterion values in multiple objective linear programming. Operations Research 45 (5), 751-757.
19. Lotfi, V., Yoon, Y.S., Zionts, S., 1997. Aspiration-based search algorithm (ABSALG) for multiple objective linear programming problems: Theory and comparative tests. Management Science 43 (8), 1047-1059.
20. Malakooti, B., Ravindran, A., 1985/6. Experiments with an interactive paired comparison simplex method for MOLP problem. Annals of Operations Research 5, 575-597.
21. Michalowski, W., 1987. Evaluation of multiple criteria interactive programming approach: An experiment. INFOR 25, 165-172.
22. Michalowski, W., Szapiro, T., 1992, A bi-reference procedure for interactive multiple criteria programming. Operations Research 40, 247-258.
23. Mote, J., Olson, D.L., Venkataramanan, M.A., 1988. A comparative multiobjective programming study. Mathematical and Computer Modeling 10, 719-729.
24. Reeves, G.R., Franz, L., 1985. A simplified interactive multiple objective linear programming procedure. Computers and Operations Research 12, 589-601.
25. Reeves, G.R., Gonzalez, J.J., 1989. A comparison of two interactive MCDM procedures. European Journal of Operational Research 41 (2), 203-209.
26. Reeves, G.R., MacLeod, K.R., 1999. Some experiments in Tchebycheff-based approaches for interactive multiple objective decision making. Computers and Operations Research 26 (13), 1311-1321.
27. Shin, W.S., Allen, D.B., 1994. An interactive paired comparison method for bicriterion integer mathematical programming. Naval Research Logistics 41, 423-434.
28. Shin, W.S., Ravindran, A., 1992. A comparative study of interactive tradeoff cutting plane approach for MOMP. European Journal of Operational Research 56, 380-393.
29. Sobol', I.M., 1992. An efficient approach to multicriteria optimum design problems. Surveys on Mathematics for Industry 1, 259-281.
30. Sobol', I.M., Statnikov, R.B., 1985. Multicriterial Problems in Machine Design (Problem Statement and Applications). Multicriteria Mathematical Programming Problems, Proceedings of Seminar, M.: The Institute for Systems Studies, Moscow, pp. 39-45.
31. Steuer, R.E., 1986. Multiple Criteria Optimization: Theory, Computation and Application. John Wiley and Sons, New York.
32. Steuer, R.E., Choo, E.U., 1983. An interactive weighted Tchebycheff procedure for multiple objective programming. Mathematical Programming 26 (1), 326-344.
33. Steuer, R.E., Gardiner, L.R., 1991. On the computational testing of procedures for interactive multiple objective linear programming. In: Fandel, G., Gehring, H. (Eds.), Operations Research. Springer-Verlag, Berlin, pp. 121-131.
34. Steuer, R.E., Silverman, J., Whisman, A.W., 1993. A combined Tchebycheff/Aspiration criterion vector interactive multiobjective programming procedure. Management Science 39 (10), 1255-1260.
35. Steuer, R.E., Sun, M., 1995. The parameter space investigation method for multiple objective nonlinear programming: A computational investigation. Operations Research 43 (4), 641-648.
36. Sun, M., 1992. Interactive multiple objective programming procedures via adaptive random search and feed-forward artificial neural networks. Doctoral Dissertation, Department of Management Sciences and Information Technology, The University of Georgia, Athens, GA.
37. Sun, M., Stam, A., Steuer, R.E., 1996. Solving multiple objective programming problems using feed-forward artificial neural networks: The interactive FFANN procedure. Management Science 42 (6), 835-849.
38. Sun, M., Stam, A., Steuer, R.E., 2000. Interactive multiple objective programming using Tchebycheff programs and artificial neural networks. Computers and Operations Research 27 (7-8), 601-620.
39. Torn, A.A., 1980. A sampling-search-clustering approach for exploring the feasible/efficient solutions of MCDM problems. Computers and Operations Research 7 (1/2), 67-79.
40. Wallenius, J., 1975. Comparative evaluation of some interactive approaches to multiple criterion optimization. Management Science 21, 1387-1396.
41. Yoon, Y.S., 1990. Interactive Aspiration-Level Multiple Objective Linear Programming Methods: Theory and Computational Tests, Doctoral Dissertation, School of Management, SUNY at Buffalo, Buffalo, NY.
42. Yu, P.L., 1985. Multiple-criteria Decision Making: Concepts, Techniques, and Extensions. Plenum Press, New York.
43. Zionts, S., Wallenius, J., 1976. An interactive programming method for solving the multiple criteria problem. Management Science 22 (6), 652-663.
44. Zionts, S., Wallenius, J., 1983. An interactive multiple objective linear programming method for a class of underlying nonlinear utility functions. Management Science 29 (5), 519-529.