Geodesic
On the resource allocation between protection of the system and constructing redundant components
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2015), pp. 34-40

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The article presents a study of the problem of resource allocation between increasing protection of components and constructing redundant components in some system that is subjected to threats. The defender aims at minimizing the entire system destruction probability during certain time horizon by using the best resource allocation strategy. Dynamic resource distribution strategy is considered. The random time of attack time is represented beta-distribution. The paper is closed in the considered problem to the paper [1]. The main differences are connected with using another distribution for random time attack and with using quite another formula for destruction probability. Refs 4.
Mots-clés : Beta-distribution
Keywords: destruction probability, resource allocation. 
V. M. Bure; V. V. Karelin. On the resource allocation between protection of the system and constructing redundant components. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2015), pp. 34-40. http://geodesic.mathdoc.fr/item/VSPUI_2015_3_a2/
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     title = {On the resource allocation between protection of the system and constructing redundant components},
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[1] Mo Huadong, Xie Min, Levitin Gregory, “Optimal resource distribution between protection and redundancy considering the time and uncertainties of attacks”, European Journal of Operational Research, 243 (2015), 200–210 | DOI | MR

[2] Nikitina N. N., Chernov I. A., “The solvability of a system of difference equations for the dynamics of the cumulative amount”, Problems of analysis, 2:20 (2013), 68–81 (In Russian) | MR | Zbl

[3] Skaperdas S., “Contest success functions”, Economic Theory, 7 (1996), 283–290 | DOI | MR | Zbl

[4] Wasser C., “Incomplete information in rent-seeking contests”, Economic Theory, 53 (2013), 239–268 | DOI | MR | Zbl