Abstract
A game-theoretic model of solving the problem of diagnosing complex systems was proposed enabling us to estimate the costs related to the system malfunction depending on the number of realizations of the diagnostics algorithm. This model is referred to the class of matrix games of non-classical type. The expressions were derived enabling us to determine optimal strategies for an arbitrary number of possible malfunctions and test sequences.
Similar content being viewed by others
References
Principles of Technical Diagnostics. Book One. Models of Objects, Methods and Algorithms of Diagnosis (Energiya, Moscow, 1976) [in Russian, ed. by P. P. Parkhomenko].
Principles of Technical Diagnostics. Optimization of Diagnostics Algorithms, Hardware (Energiya, Moscow, 1981) [in Russian, ed. by P. P. Parkhomenko].
L. I. Volkov, “Statistical estimation of damage associated with failures of technical systems,” Dvoinye Tekhnologii, No. 1, 6–14 (2001).
V. N. Burkov, G. S. Dzhavakhadze, N. I. Dinova, and D. A. Shchepkin, Application of Game Simulation Modelling for Estimating the Efficiency of Economic Mechanisms (IPU RAN, Moscow, 2003) [in Russian]
E. Mushik and P. Muller, Methods of Technical Decision-Making (Mir, Moscow, 1990) [in Russian].
A. A. Strotsev, Principles of Formation and Making Decisions: Tutorial (MO RF, 2001).
A. A. Strotsev, “The Modified Brown method for solving the mixed expansion problem of a ‘non-classical’ type matrix game,” Ekonomika i Matematicheskie Metody 37, No. 2, 106–110 (2001).
A. A. Strotsev, “Building of mixed expansion for ‘non-classical’ type matrix games,” Izvestiya AN. Teoriya i Sistemy Upravleniya, No. 3, 119–124 (1998).
V. V. Khutortsev and A. A. Strotsev, “Invariant-and-group principles of optimizing observations of a multichannel impulse radar within the composition of a multiposition complex measuring system,” Radiotekhnika i Elektronika 37, No. 6, 63–70 (1992).
N. N. Vorob’ev, Game Theory for Economists-Cyberneticians (Nauka, Moscow, 1985) [in Russian].
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.A. Strotsev, S.V. Sinitsyn, O.N. Shukhardin, A.L. Oganesyan, 2007, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2007, Vol. 50, No. 9, pp. 42–51.
About this article
Cite this article
Strotsev, A.A., Sinitsyn, S.V., Shukhardin, O.N. et al. Application of the mixed expansion of non-classical type matrix games in problems of determining the technical state of complex systems. Radioelectron.Commun.Syst. 50, 497–502 (2007). https://doi.org/10.3103/S0735272707090075
Received:
Issue Date:
DOI: https://doi.org/10.3103/S0735272707090075