Influence diagrams with multiple objectives and tradeoff analysis

IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.

Volumn 34, Issue 3, 2004, Pages 293-304

  Diehl, Michael ^a   Haimes, Yacov Y ^a  

^a UNIVERSITY OF VIRGINIA   (United States)

Author keywords

Decision trees; Influence diagrams; Multiple objectives; Risk analysis

Indexed keywords

ALGORITHMS; DECISION MAKING; DECISION THEORY; MATHEMATICAL MODELS; PROBLEM SOLVING;

INFLUENCE DIAGRAMS; MULTIPLE OBJECTIVES; RISK ANALYSIS; TRADEOFF ANALYSIS; UTILITY THEORY;

GRAPHIC METHODS;

EID: 2442459861     PISSN: 10834427     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCA.2003.822967     Document Type: Article

References (23)

1. A. M. Agogino. (1999) Management of Uncertainty with Influence Diagrams. [Online]. Available: http://best.me.berkeley.edu/~aagogino/me290m/s99/IDES.html
2. R. Bellman, Dynamic Programming. Princeton, NJ: Princeton University Press, 1957.
3. C. Bielza and P. P. Shenoy, "A comparison of graphical techniques for asymmetric decision problems," Manage. Sci., vol. 45, no. 11, pp. 1552-1569, 1999.
4. V. Chankong and Y. Y. Haimes, Multiobjective Decision Making: Theory and Methodology. New York: Elsevier, 1983.
5. G. E. Evans, "An overview of techniques for solving multiobjective mathematical programs," Management Sci., vol. 30, no. 11, pp. 1268-1282, 1984.
6. S. B. Graves, J. L. Ringuest, and J. F. Bard, "Recent developments in screening methods for nondominated solutions in multiobjective optimization," Comput. Oper. Res., vol. 19, no. 7, pp. 683-694, 1992.
7. C. Goutis, "A graphical method for solving a decision analysis problem," IEEE Trans. Syst., Man, Cybern., vol. 25, pp. 1181-1193, Aug. 1995.
8. Y. Y. Haimes, Risk Modeling, Assessment, and Management. New York: Wiley, 1998.
9. Y. Y. Haimes, D. Li, and V. Tulsiani, "Multiobjective decision-tree analysis," Risk Anal., vol. 10, no. 1, pp. 111-129, 1990.
10. Y. Y. Haimes and W. A. Hall, "Multiobjectives in water resources systems analysis: The surrogate worth trade-off method," Water Resources Res., vol. 10, no. 4, pp. 615-624, 1974.
11. R. A. Howard, "From influence to relevance to knowledge," in Influence Diagrams, Belief Nets and Decision Analysis, R. M. Oliver and J. Q. Smith, Eds. New York: Wiley, 1990, pp. 3-23.
12. R. A. Howard and J. E. Matheson, "Influence diagrams," in The Principles and Applications of Decision Analysis, R. A. Howard and J. E. Matheson, Eds. Menlo Park, CA: Strategic Decisions Group 1984, vol. II, pp. 719-762.
13. R. L. Keeney and H. Raiffa, Decisions with Multiple Objectives. Cambridge, MA: Cambridge Univ. Press, 1976.
14. C. W. Kirkwood, "An algebraic approach to formulating and solving large models for sequential decisions under uncertainty," Manage. Sci., vol. 39, no. 7, pp. 900-913, 1993.
15. D. Li, "Multiple objectives and nonseparability in stochastic dynamic programming," Int. J. Syst. Sci., vol. 21, no. 5, pp. 933-950, 1990.
16. D. Li and Y. Y. Haimes, "The envelope approach for multiobjective optimization problems," IEEE Trans. Syst., Man, Cybern., vol. 17, pp. 1026-1038, Nov./Dec. 1987.
17. S. M. Olmsted, "On Representing and Solving Decision Problems," Ph.D. dissertation, Dept. Eng.-Econ. Syst., Stanford Univ., Palo Alto, CA, 1983.
18. R. D. Shachter, "Evaluating influence diagrams," Oper. Res., vol. 34, no. 6, pp. 871-882, 1986.
19. P. P. Shenoy, "Valuation network representation and solution of asymmetric decision problems," Eur. J. Op. Res., vol. 121, no. 3, pp. 579-608, 2000.
20. H. A. Simon, "Rational decision making in business organizations," Amer. Econ. Rev., vol. 69, no. 4, pp. 493-513, 1979.
21. J. E. Smith, S. Holtzman, and J. E. Matheson, "Structuring conditional relationships in influence diagrams," Oper. Res., vol. 41, no. 2, pp. 280-297, 1993.
22. J. A. Tatman and R. D. Shachter, "Dynamic programming and influence diagrams," IEEE Trans. Syst., Man, Cybern., vol. 20, pp. 365-379, Mar./Apr. 1990.
23. M. Zeleny, Multiple Criteria Decision Making. New York: McGraw-Hill, 1982.