Abstract
This paper considers the problem of mathematical formalization and finding of explicit formulas for determination of risk functions in stock control models with goods of many kinds. The choice of the kind of goods and distribution of random variables that determine the behavior of a system depends on the state of the random Markov environment in which the system operates.
Similar content being viewed by others
REFERENCES
O. A. Voina, Economic Risk: Mathematical Models and Methods of Management [in Ukrainian], VPTs “Kyivskii Universitet,” Kyiv (2001).
N. Prabhu, Stochastic Storage Processes [Russian translation], Mir, Moscow (1984).
G. I. Falin, Mathematical Risk Analysis in Insurance [in Russian], MGU, Moscow (1994).
H. Wolthuis, Life Insurance Mathematics: The Markovian Model, CAIRE, Brussel (1996).
N. S. Gonchar, Financial Mathematics and Economic Growth [in Russian], Rada, Kyiv (2000).
F. R. Gantmakher, Theory of Matrices [in Russian], Nauka, Moscow (1988).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Voina, A.A., Klodzinska, A. Risk Functions in Multidimensional Stock Control Models that Function in a Random Markov Environment. Cybernetics and Systems Analysis 40, 594–598 (2004). https://doi.org/10.1023/B:CASA.0000047880.03985.55
Issue Date:
DOI: https://doi.org/10.1023/B:CASA.0000047880.03985.55