Abstract
The article presents a method of optimal allocation of resources provided for the synthesis of equilibrium systems. It introduces the concept of ‘equilibrium systems’ and gives examples of such systems. It provides a meaningful and formal statement of the problem of allocating the resources provided to create equilibrium systems. As a criterion for the resource allocation, the authors propose equal effectiveness of all elements of the system. The article describes the inverse function method of the optimal resource allocation. It describes the analytical and graphical procedures for solving the resource allocation problem by the example of the synthesis of security systems for automated information systems.
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References
Tsygichko, V.N.: Security risk assessment of critical facilities and critical infrastructures. Risk Anal. Issues 13(5), 6–10 (2016)
Tsygichko, V.N., Chereshkin, D.S.: Security of Critical Transport Facilities. LAP LAMBERT Academic Publishing, Dusseldorf (2014)
Tsygichko, V.N.: Forhead About Decision Making, 3rd edn. Krasand, Moscow (2010)
Ashmanov, S.A., Timokhov, A.V.: Optimization Theory in Tasks and Exercises. Nauka, Moscow (1991)
Karmanov, V.G.: Mathematical Programming, 3rd edn. Nauka, Moscow (1986)
Razumovsky, I.V., Kantorovich, L.V.: Reasonable generalization provides more than detailed research. In: Famous Students: Essays on the Graduates from St. Petersburg University. Part 3. Famous Students, St. Petersburg, Russia (2005)
Slavyanov, A.S.: Analysis and Practical application of resource allocation models. Sci. Pract. Bull. 4(9), 228–244 (2018)
Cormen, T.H., et al.: Linear programming. Introduction to Algorithms, 2nd ed., Chapter 29. Williams, Moscow (2006)
Powell, M.J.D.: A view of algorithms for optimization without derivatives. Department of Applied Mathematics and Theoretical Physics, Cambridge, UK (2007)
Verma, S., Ramineni, K., Ian, I.G.: A control-oriented coverage metric and its evaluation for hardware designs. J. Comput. Sci. 5(4), 302–310 (2010)
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This work was supported by the Russian Foundation for Basic Research (project 19-07-00522).
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Tsygichko, V.N. (2020). Resource Allocation by the Inverse Function Method. In: Silhavy, R., Silhavy, P., Prokopova, Z. (eds) Software Engineering Perspectives in Intelligent Systems. CoMeSySo 2020. Advances in Intelligent Systems and Computing, vol 1295. Springer, Cham. https://doi.org/10.1007/978-3-030-63319-6_6
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DOI: https://doi.org/10.1007/978-3-030-63319-6_6
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