Geodesic
Semi-Markov decision-making processes with vector gains
Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 1, pp. 182-184

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The main problem in the theory of semi-Markov decision-making processes is the development of methods which give the optimal strategy if such a strategy exists. The paper discusses those semi-Markov decision-making processes in which the structure of gains is a vector one and solve the vector analog of the basic scalar problem. Geometric conditions leading to the optimal strategy in the explicit form are given. 
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     author = {{\CYRT}. {\CYRM}. Vinogradskaja and {\CYRV}. A. Geninson and A. A. Rub\v{c}inskiǐ},
     title = {Semi-Markov decision-making processes with vector gains},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {182--184},
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     volume = {28},
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     url = {http://geodesic.mathdoc.fr/item/TVP_1983_28_1_a15/}
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Т. М. Vinogradskaja; В. A. Geninson; A. A. Rubčinskiǐ. Semi-Markov decision-making processes with vector gains. Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 1, pp. 182-184. http://geodesic.mathdoc.fr/item/TVP_1983_28_1_a15/