A multiple objective dynamical problem under uncertainty is solved for an optimal combination of outcomes and risks. A linear-quadratic form is considered, which leads to an explicit solution for a fairly wide class of problems.
Similar content being viewed by others
References
V. I. Zhukovskii and M. E. Salukvadze, Risks and Outcomes in Multiple Objective Control Problems [in Russian], Intelekti, Tbilisi (2004).
L. Y. Savage, “The theory of statistical decisions,” JASA, 46, 55–67 (1951).
V. I. Zhukovskiy and M. E. Salukvadze, The Vector-Valued Maximin, Academic Press, New York (1994).
V. V. Podinovskii and V. D. Nogin, Pareto-Optimal Solutions of Multiple Objective Problems [in Russian], Nauka, Moscow (1982).
V. A. Kolemaev, Mathematical Economics [in Russian], YuNITI, Moscow (2002).
E. B. Lee and L. Markus, Foundations of Optimal Control Theory [Russian translation], Nauka, Moscow (1972).
L. S. Pontryagin, Ordinary Differential Equations [in Russian], GIFML, Moscow (1961).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Matematika i Informatika, No. 28, pp. 73–92, 2008.
Rights and permissions
About this article
Cite this article
Sorokin, K.S. Outcome- and risk-guaranteed solution of a multiple objective dynamical problem. Comput Math Model 20, 71–84 (2009). https://doi.org/10.1007/s10598-009-9021-6
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10598-009-9021-6