Abstract
In this paper, a multistage decision problem for minimizing the total cost with partially known information is considered. In each stage, a decision maker has one and only one chance to make a decision. The optimal decision in each stage is obtained based on the one-shot decision theory. That is, the decision maker chooses one of states of nature (scenario) of each alternative in every stage with considering the satisfaction of the outcome and its possibility. The selected state of nature is called the focus point. Based on the focus points, the decision maker determines the optimal alternative in each stage by dynamic programming problems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abo-Sinna, M.A.: Multiple objective (fuzzy) dynamic programming problems: a survey and some applications. Applied Mathematics and Computation 157(3), 861–888 (2004)
Bellman, R.E.: Dynamic Programming. Princeton University Press, Princeton (1957)
Bellman, R.E., Zadeh, L.A.: Decision-making in a fuzzy environment. Management Sciences 164, B141–B164 (1970)
Cervellera, C., Chen, V.C.P., Wen, A.: Optimization of a large-scale water reservoir network by stochastic dynamic programming with efficient state space discretization. European Journal of Operational Research 171(3), 1139–1151 (2006)
Cristobal, M.P., Escudero, L.F., Monge, J.F.: On stochastic dynamic programming for solving large-scale planning problems under uncertainty. Computers & Operations Research 36(8), 2418–2428 (2009)
Dubois, D., Prade, H., Sabbadin, R.: Decision-theoretic foundations of possibilty theory. European Journal of Operational Research 128, 459–478 (2001)
Esogbue, A.O., Bellman, R.E.: Fuzzy dynamic programming and its extensions. TIMS/Studies in the Management Sciences 20, 147–167 (1984)
Guo, P.: Decision analysis based on active focus point and passive focus point. In: Proceedings of the International Workshop of Fuzzy Systems and Innovational Computing, pp. 39–44 (2004)
Guo, P.: One-Shot Decision Approach and Its Application to Duopoly Market. International Journal of Information and Decision Sciences 2(3), 213–232 (2010)
Guo, P.: Private Real Estate Investment Analysis within One-Shot Decision Framework. International Real Estate Review 13(3), 238–260 (2010)
Guo, P.: One-shot decision Theory. IEEE Transactions on SMC: Part A 41(5), 917–926 (2011)
Kacprzyk, J., Esogbue, A.O.: Fuzzy dynamic programming: Main developments and applications. Fuzzy Sets and Systems 81, 31–45 (1996)
Kahneman, D., Tversky, A.: Prospect Theory: An analysis of decision under risk. Econometrica 47, 263–291 (1979)
Kung, J.J.: Multi-period asset allocation by stochastic dynamic programming. Applied Mathematics and Computation 199(1), 341–348 (2008)
Li, D., Cheng, C.: Stability on multiobjective dynamic programming problems with fuzzy parameters in the objective functions and in the constraints. European Journal of Operational Research 158(3), 678–696 (2004)
Piantadosi, J., Metcalfe, A.V., Howlett, P.G.: Stochastic dynamic programming (SDP) with a conditional value-at-risk (CVaR) criterion for management of storm-water. Journal of Hydrology 348(3-4), 320–329 (2008)
Topaloglou, N., Vladimirou, H., Zenios, S.A.: A dynamic stochastic programming model for international portfolio management. European Journal of Operational Research 185(3), 1501–1524 (2008)
Zhang, X.B., Fan, Y., Wei, Y.M.: A model based on stochastic dynamic programming for determining China’s optimal strategic petroleum reserve policy. Energy Policy 37(11), 4397–4406 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Guo, P., Li, Y. (2011). Multistage Decision Making Based on One-Shot Decision Theory. In: Wang, Y., Li, T. (eds) Knowledge Engineering and Management. Advances in Intelligent and Soft Computing, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25661-5_21
Download citation
DOI: https://doi.org/10.1007/978-3-642-25661-5_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25660-8
Online ISBN: 978-3-642-25661-5
eBook Packages: EngineeringEngineering (R0)