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The control mechanism of interaction in a one-level organizational system. (English. Russian original) Zbl 1092.93001
Autom. Remote Control 66, No. 5, 819-836 (2005); translation from Avtom. Telemekh. 2005, No. 5, 156-174 (2005).
Summary: A problem of control of a one-level system is considered. In the case when the utility of participants of the system is transferable, the problem is solved by way of the construction of a stimulation mechanism that implements an optimal strategy of the entire system. In the case of the untransferable utility, a mechanism of control of parameters is put forward that affords the consistent interaction of the system participants at minimum losses.
93A13 Hierarchical systems
93B50 Synthesis problems
Full Text: DOI
[1] Burkov, V.N., Osnovy matematicheskoi teorii aktivnykh sistem (Basics of the Mathematical Theory of Active Systems), Moscow: Nauka,1977.
[2] Burkov, V.N. and Novikov, D.A., Teoriya aktivnykh sistem: sostoyanie i perspektivy (The Theory of Active Systems. The State and Perspectives), Moscow: Sinteg, 1999.
[3] Gubko, M.V. and Novikov, D.A., Teoriya igr v upravlenii organizatsionnymi sistemami (The Theory of Games in Control of Organization Systems), Moscow: Sinteg, 2002.
[4] Novikov, D.A., Stimulirovanie v organizatsionnykh sistemakh (Stimulation in Organization Systems), Moscow: Sinteg, 2003.
[5] Novikov, D.A. and Tsvetkov, A.V., Mekhanizmy stimulirovaniya v mnogoelementnykh organizatsionnykh sistemakh (Stimulation Mechanisms in Multielement Organization Systems), Moscow: Inst. Probl. Upravlen., 2001.
[6] Burkov, V.N., Kuznetsov, N.A., and Novikov, D.A., Control Mechanisms in Network Structures, Avtom. Telemekh., 2002, no. 12, pp. 96–115. · Zbl 1116.91315
[7] Novikov, D.A., Setevye struktury i organizatsionnye sistemy (Network Structures and Organization Systems), Moscow: Inst. Probl. Upravlen., 2003.
[8] Novikov, D.A. and Tsvetkov, A.V., Mekhanizmy funktsionirovaniya organizatsionnykh sistem s raspredelennym kontrolem (Mechanisms of Functioning of Organization Systems with Distributed Control), Moscow: Inst. Probl. Upravlen., 2001.
[9] Voronin, A.A. and Mishin, S.P., Optimal’nye ierarkhicheskie struktury (Optimal Hierarchical Structures), Moscow: Inst. Probl. Upravlen., 2003.
[10] Mishin, S.P., Optimal Stimulation in Multilevel Hierarchical Structures, Avtom. Telemenkh., 2004, no. 5, pp. 96–119. · Zbl 1115.91352
[11] Bogatyrev, V.D., Modeli mekhanizmov vzaimodeistviya v aktivnykh proizvodstvenno-ekonomicheskikh sistemakh (Models of the Mechanisms of Interaction in Active Production-Economic Systems), Samara: SNTs Ross. Akad. Nauk, 2003.
[12] Burkov, V.N. and Novikov, D.A., Kak upravlyat’ proektami (How to Control Projects), Moscow: Sinteg-GEO, 1997.
[13] Bogatyrev, V.D., Modeli i mekhanizmy soglasovannogo vzaimodeistviya v zadachakh antikrizisnogo upravleniya (Models and Mechanisms of Consistent Interactions in the Problems of Anticrisis Control), Samara: SNTs Ross. Akad. Nauk, 2004.
[14] Germeier, Yu.B., Igry s neprotivopolozhnymi interesami (Games with Nonantogonistic Interests), Moscow: Nauka, 1976. · Zbl 0584.90097
[15] Burkov, V.N. and Novikov, D.A., Mechanisms of Critical Control of Active Systems in Stimulation Problems, Trudy Inst. Probl. Upravlen., 2000, vol. 10, pp. 76–85.
[16] Novikov, D.A., Mekhanizmy funktsionirovanniya mnogourovnevykh organizatsionnykh sistem (The Mechanisms of Functioning of Multilevel Organization Sistems), Moscow: Fond ”Problemy Upravleniya,” 1999.
[17] Frol’kis, V.A., Vvedenie v teoriyu i metody optimizatsii dlya ekonomistov (Introduction to the Theory and Optimization Methods for Economists), St. Petersburg: Piter, 2002.
[18] Intriligator, M., Matematicheskie metody optimizatsii i ekonomicheskaya teoriya (Mathematical Optimization Methods and Economic Theory), Moscow: Airis-Press, 2002.
[19] Novikov, D.A. and Tsvetkov, A.V., Decomposition of the Game of Active Elements in Stimulation Problems, Avtom. Telemekh., 2001, no. 2, pp. 173–180.
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