Abstract
The problem of finding an optimal technological mode for a controlled process of heat transfer is considered in this paper. This problem is formulated as a differential two-person zero-sum game of a technologist against ‘nature’.
To solve the problem considered the numerical method based on the dynamic programming method and the finite difference method is proposed.
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Tichonov, A.N., Samarsky, A.A. (1977) Equations of Mathematical Physics. Nauka, Moscow (Russian).
Malafeyev, O.A. (1993) Dynamical control systems of conflict. St. Petersburg (Russian).
Bellman, R. (1960) Dynamic programming. IL, Moscow (Russian).
Samarsky, A.A. (1989) Difference schemes theory. Nauka, Moscow (Russian).
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© 1996 Springer Science+Business Media Dordrecht
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Malafeyev, O.A., Troeva, M.S. (1996). A game-theoretical model for a controlled process of heat transfer. In: Doležal, J., Fidler, J. (eds) System Modelling and Optimization. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34897-1_27
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DOI: https://doi.org/10.1007/978-0-387-34897-1_27
Publisher Name: Springer, Boston, MA
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