A Generalized Sampling Approach for Multilinear Utility Functions Given Partial Preference Information

References

• Abbas AE (2009) Multiattribute utility copulas. Oper. Res. 57(6): 1367–1383.Link, Google Scholar
• Barron FH, Barrett BE (1996) Decision quality using ranked attribute weights. Management Sci. 42(11):1515–1523.Link, Google Scholar
• Bélisle CJP, Romeijn HE, Smith RL (1993) Hit-and-run algorithms for generating multivariate distributions. Math. Oper Res. 18(2):255–266.Link, Google Scholar
• Bertsimas D, Tsitsiklis J (1997) Introduction to Linear Optimization, 1st ed. (Athena Scientific, Belmont, MA).Google Scholar
• Borcherding K, Schmeer S, Weber M (1995) Biases in multiattribute weight elicitation. Caverni J-P, ed. Contributions to Decision Making (Elsevier, Amsterdam), 3–28.Google Scholar
• Butler JC (1998) Simulation analysis of multicriteria decision models. Ph.D. dissertation, University of Texas at Austin, Austin.Google Scholar
• Butler J, Jia J, Dyer J (1997) Simulation techniques for the sensitivity analysis of multi-criteria decision models. Eur. J. Oper. Res. 103(3):531–546.Crossref, Google Scholar
• Corner JL, Kirkwood CW (1991) Decision analysis applications in the operations research literature, 1970–1989. Oper. Res. 39(2):206–219.Link, Google Scholar
• Devroye L (1986) Non-Uniform Random Variate Generation (Springer-Verlag, New York).Crossref, Google Scholar
• Dyer JS, Farrell W, Bradley P (1973) Utility functions for test performance. Management Sci. 20(4, Part i):507–519.Link, Google Scholar
• Fishburn PC, Keeney RL (1975) Generalized utility independence and some implications. Oper. Res. 23(5):928–940.Link, Google Scholar
• Hazen GB (1986) Partial information, dominance, and potential optimality in multiattribute utility theory. Oper. Res. 34(2):296–310.Link, Google Scholar
• Horn RA, Johnson CR (1990) Matrix Analysis (Cambridge University Press, Cambridge, UK).Google Scholar
• Howard RA (1968) The foundations of decision analysis. IEEE Trans. Systems Sci. Cybernetics 4(3):211–219.Crossref, Google Scholar
• Keefer DL, Kirkwood CW, Corner JL (2004) Perspective on decision analysis applications, 1990–2001. Decision Anal. 1(1):5–24.Crossref, Google Scholar
• Keeney RL, Raiffa H (1993) Decisions with Multiple Objectives: Preferences and Value Tradeoffs, Series in Probability and Mathematical Statistics (John Wiley & Sons, New York).Crossref, Google Scholar
• Kirkwood CW, Corner JL (1993) The effectiveness of partial information about attribute weights for ranking alternatives in multiattribute decision making. Organ. Behav. Human Decision Processes 54(3):456–476.Crossref, Google Scholar
• Kirkwood CW, Sarin RK (1985) Ranking with partial information: A method and an application. Oper. Res. 33(1):38–48.Link, Google Scholar
• Lovász L (1998) Hit-and-run mixes fast. Math. Programming 86(3):443–461.Google Scholar
• Matheson JE, Howard RA (1968) An introduction to decision analysis. The Principles and Applications of Decision Analysis, Vol. 1 (Strategic Decisions Group, Menlo Park, CA), 17–56.Google Scholar
• Montiel LV (2012) Approximations, simulation, and accuracy of multivariate discrete probability distributions in decision analysis. Ph.D. dissertation, University of Texas at Austin, Austin.Google Scholar
• Montiel LV, Bickel JE (2012) A simulation-based approach to decision making with partial information. Decision Anal. 9(4):329–347.Link, Google Scholar
• Montiel LV, Bickel JE (2013a) Approximating joint probability distributions given partial information. Decision Anal. 10(1):26–41.Link, Google Scholar
• Montiel LV, Bickel JE (2013b) Generating a random collection of discrete joint probability distributions subject to partial information. Methodol. Comput. Appl. Probab. 15(4):951–967.Crossref, Google Scholar
• Park KS, Kim SH (1997) Tools for interactive multi-attribute decisionmaking with incompletely identified information. Eur. J. Oper. Res. 98(1):111–123.Crossref, Google Scholar
• Richard SF (1975) Multivariate risk aversion, utility independence, and separable utility functions. Management Sci. 22(1):12–21.Link, Google Scholar
• Rubin PA (1984) Generating random points in a polytope. Comm. Statist.—Simulation Comput. 13(3):375–396.Crossref, Google Scholar
• Sarin RK (1977) Interactive evaluation and bound procedure for selecting multi-attributted alternatives. TIMS Stud. Management Sci. 6: 211–224.Google Scholar
• Sarin RK (1979) Ranking of multiattribute alternatives with an application to coal power plant siting. Beckmann M, Kunzi HP, eds. Multiple Criteria Decision Making Theory and Applications, Lecture Notes in Economics and Mathematical Systems, Vol. 177 (Springer-Verlag, Berlin), 405–429.Google Scholar
• Smith RL (1984) Efficient Monte Carlo procedures for generating points uniformly distributed over bounded regions. Oper. Res. 32(6):1296–1308.Link, Google Scholar
• Tervonen T, Lahdelmaa R (2007) Implementing stochastic multicriteria acceptability analysis. Eur. J. Oper. Res. 178(2):500–513.Crossref, Google Scholar
• Tervonen T, van Valkenhoef G, Baştürk N, Postmus D (2013) Hit-and-run enables efficient weight generation for simulation-based multiple criteria decision analysis. Eur. J. Oper. Res. 224(3):552–559.Crossref, Google Scholar
• von Neumann J (1963) Various Techniques Used in Connection with Random Digits, Collected Works, Vol. 5 (Pergamon Press, New York), 768–770.Google Scholar
• von Winterfeldt D, Edwards W (1986) Decision Analysis and Behavioral Research (Cambridge University Press, Cambridge, UK).Google Scholar
• Wang J, Zionts S (2006) Random-weight generation in multiple criteria decision models. Presentation at the 18th International Conference on Multiple Criteria Decision Making, June 19–23, Chania, Greece.Google Scholar
• Weber M (1987) Decision making with incomplete information. Eur. J. Oper. Res. 28(1):44–57.Crossref, Google Scholar