Abstract
In this paper a sequential multiple criteria decision problem is studied. The problem arises, when a decision maker is unable to consider all possible decision alternatives simultaneously. If the decision maker evaluates only a subset of all decisions from among which he chooses the most preferred alternative, it is not necessarily 'globally' best. In this context an interesting question is, how good the most preferred alternative is and what the chances are of finding a better solution by considering additional alternatives. The principles of a an approach based on probability theory to solving this problem are described and illustrated with numerical examples.
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References
Green, P.E. and Tull, E.S., Research for Marketing Decisions Fourth Edition, Prentice-Hall, New Jersey, 1978.
Keeney, R.L., “Decision Analysis”, in Handbook of Operations Research Foundations and Fundamentals, Eds. Moder, J.J. and Elmaghraby, S.E., Van Nostrand Reinhold Company, New York, 1978.
Korhonen, P.J. and Wallenius J., “A Sequential Approach to Solving Multiple Criteria Decision Problems”, Working Paper No. 22,University of Jyväskylä, 1982.
Neveu, J., Mathematical Foundations of the Calculus of Probablity Holden-Day, San Francisco, 1965.
Pratt, J.W., Raiffa, H. and Schlaifer, R., Introduction to Statistical Decision Theory McGraw-Hill, New York, 1965.
Raiffa, H., Decision Analysis: Introductory Lectures on Choices Under Uncertainty Addison-Wesley, Reading, Massachusetts, 1968.
Rao, C.R., Linear Statistical Inference and its Applications Wiley, New York, 1973.
Roy, B. and Vincke, P., “Multicriteria Analysis: Survey and New Direction”, European Journal of Operational Research 8, 1981, pp. 207–218.
Schlaifer, R.O., Probability and Statistics for Business Decisions McGraw-Hil New York, 1959.
Zionts, S., “A Multiple Criteria Method for Choosing Among Discrete Alternatives”, European Journal of Operational Research 7, No. 2, June 1981, pp. 143–147.
Zionts, S. and Wallenius, J., “An Interactive Programming Method for Solving the Multiple Criteria Problem”, Management Science 22, No. 6, February 1976, pp. 652–663.
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© 1983 Springer-Verlag Berlin Heidelberg
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Korhonen, P., Wallenius, J. (1983). Principles for Solving Sequential Multiple Criteria Decision Problems. In: Hansen, P. (eds) Essays and Surveys on Multiple Criteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46473-7_18
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DOI: https://doi.org/10.1007/978-3-642-46473-7_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11991-3
Online ISBN: 978-3-642-46473-7
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