Skip to main content
SpringerLink
Log in

Optimal Stimulation in Multilevel Hierarchical Structures

  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Consideration was given to a model of the multilevel hierarchical structure whose elements strive to maximize the difference between the stimulation and the costs of managing the subordinated elements by reorganizing the inferior structural part. For different variants of information about the cost functional, solved was the problem of choosing the optimal stimulation that provides an equilibrium structure (where restructuring is not advantageous to the elements) with the minimum total payments.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. Burkov, V.N. and Kondrat'ev, V.V., Mekhanizmy funktsionirovaniya organizatsionnykh sistem (Mechanisms of Operation of the Organization Systems), Moscow: Nauka, 1981.

    Google Scholar 

  2. Burkov, V.N. and Novikov, D.A., Teoriya aktivnykh sistem: sostoyanie i perspektivy (Theory of Active Systems: State-of the-Art and Outlooks), Moscow: SINTEG, 1999.

    Google Scholar 

  3. Gubko, M.V. and Novikov, D.A., Teoriya igr v upravlenii organizatsionnymi sistemami (Game Theory in Control of Organization Systems), Moscow: SINTEG, 2002.

    Google Scholar 

  4. Germeier, Yu.B., Igry s neprotivopolozhnymi interesami, (Games with Noncontradictory Interests), Moscow: Nauka, 1976.

    Google Scholar 

  5. Kukushkin, N.S. and Morozov, V.V., Teoriya neantagonisticheskikh igr (Theory of Nonantagonistic Games), Moscow: Mosk. Gos. Univ., 1984.

    Google Scholar 

  6. Grossman, S. and Hart, O., An analysis of the Principal-Agent Problem, Econometrica, 1983, vol. 51(1), pp. 7–45.

    Google Scholar 

  7. Grossman, S. and Hart, O., Implicit Contracts under Asymmetric Information, Q. J. Econom., 1982, no. 1, pp. 110–124.

  8. Hart, O.D. and Holmstrom, B., Theory of Contracts, in Advances in Economic Theory, V World Congress, Cambridge: Cambridge Univ. Press, 1987, pp. 71–155.

    Google Scholar 

  9. Mas-Collel, A., Whinston, M.D., and Green, J.R., Microeconomic Theory, New York: Oxford Univ. Press, 1995.

    Google Scholar 

  10. Novikov, D.A., Mekhanizmy funktsionirovaniya mnogourovnevykh organizatsionnykh sistem (Operational Mechanisms of Multilevel Organization Systems), Moscow: Fond “Problemy Upravleniya,” 1999.

    Google Scholar 

  11. Novikov, D.A., Setevye struktury i organizatsionnye sistemy (Network Structures and Organization Systems), Moscow: Inst. Probl. Upravlen., 2003.

    Google Scholar 

  12. Voronin, A.A. and Mishin, S.P., Algorithms to Seek the Optimal Structure of an Organization System, Avtom. Telemekh., 2002, no. 5, pp. 120–132.

  13. Voronin, A.A. and Mishin, S.P., Modeling the Structure of an Organization System. On Algorithms to Seek the Optimal Tree, Vestn. Volg. Univ., Mat. Fiz., 2001, pp. 78–98.

  14. Voronin, A.A. and Mishin, S.P., A Model of the Optimal Control Structural Changes in an Organization System, Avtom. Telemekh., 2002, no. 8, pp. 136–150.

  15. Voronin, A.A. and Mishin, S.P., Optimal'nye ierarkhicheskie struktury (Optimal Hierarchical Structures), Moscow: Inst. Probl. Upravlen., 2003.

    Google Scholar 

  16. Gubko, M.V., Structure of the Optimal Organization of a Continuum of Agents, Avtom. Telemekh., 2002, no. 12, pp. 116–130.

  17. Dement'ev, V.T., Erzin, A.I., Larin, R.M., et al., Zadachi optimizatsii ierarkhicheskikh struktur (Problems of Optimization of Hierarchical Structures), Novosibirsk: Novosib. Gos. Univ., 1996.

    Google Scholar 

  18. Mishin, S.P., Dynamic Problem of Designing an Optimal Hierarchical Structure, in Upravlenie bol'shimi sistemami (Control of Large Systems), Moscow: Inst. Probl. Upravlen., 2003, vol. 3, pp. 55–75.

    Google Scholar 

  19. Ovsievich, B.I., Modeli formirovaniya organizatsionnykh struktur (Models of Formation of Organization Structures), Leningrad: Nauka, 1979.

    Google Scholar 

  20. Tsvirkun, A.D., Osnovy sinteza struktury slozhnykh sistem (Fundamentals of Designing the Structure of Complex Systems), Moscow: Nauka, 1982.

    Google Scholar 

  21. Aumann, R. and Myerson, R., Endogenous Formation of Links between Players and Coalitions: An Applications of the Shapley Value, in The Shapley Value, Cambridge: Cambridge Univ. Press, 1998, pp. 175–191.

    Google Scholar 

  22. Belleflamme, P. and Bloch, F., Market Sharing Agreements and Stable Collusive Networks, London: Univ. of London, 2002.

    Google Scholar 

  23. Dutta, B. and Mutuswami, S., Stable Networks, J. Econom. Theory, 1997, no. 76, pp. 322–344.

    Google Scholar 

  24. Jackson, M.O. and van den Nouweland, A., Strongly Stable Networks, Eugene: Univ. of Oregon, 2000.

    Google Scholar 

  25. Jackson, M.O. and Watts, A., The Existence of Pairwise Stable Networks, Seoul J. Econom., 2001, vol. 14, no. 3, pp. 299–321.

    Google Scholar 

  26. Jackson, M.O. and Wolinsky, A., A Strategic Model of Social and Economic Networks, J. Econom. Theory, 1996, no. 71, pp. 44–74.

  27. Mesarovich, M.D., Mako, D., and Takahara, Y., Theory of Hierarchical Multilevel Systems, New York: Academic, 1970. Translated under the title Teoriya ierarkhicheskikh mnogourovnevykh sistem, Moscow: Mir, 1973.

    Google Scholar 

  28. Novikov, D.A., Stimulirovanie v organizatsionnykh sistemakh (Stimulation in Organization Systems), Moscow: SINTEG, 2003.

    Google Scholar 

  29. Gubko, M.V. and Mishin, S.P., Optimal Structure of the Control System of Technological Relations, in “Sovremennye slozhnye sistemy upravleniya” (Proc. Int. Conf. “Modern Complex Control Systems), Staryi Oskol, 2002, pp. 50–54.

  30. Novikov, D.A. and Chkhartishvili, A.G., Refleksivnye igry (Reflexive Games), Moscow: SINTEG, 2003.

    Google Scholar 

  31. Vasil'ev, D.K., Zalozhnev, A.Yu., Novikov, D.A., and Tsvetkov, A.V., Tipovye resheniya v upravlenii proektami (Standard Solutions in Project Management), Moscow: Inst. Probl. Upravlen., 2003.

    Google Scholar 

  32. Germei'er, Yu.B. and Novikov, D.A., Obobshchennye resheniya zadach stimulirovaniya v aktivnykh sistemakh (Generalized Solutions of the Stimulation Problems in Active Systems), Moscow: Inst. Probl. Upravlen., 1998.

    Google Scholar 

  33. Lototskii, V.A., Identification of Structures and Parameters of Control Systems, Izmer., Kontr., Avtomatiz., 1991, no. 3–4, pp. 30-38.

  34. Eykhoff, P., System Identification. Parameter and State Estimation, Eindhoven: Univ. of Technology, 1974. Translated under the title Osnovy identifikatsii sistem upravleniya. Otsenivanie parametrov i sostoyanii, Moscow: Mir 1975.

    Google Scholar 

  35. Davies, G., Smith, M., and Twigger, W., Leading People: A Model of Choice and Fate for Leadership Development, Leadership & Organization Development, 1991, vol. 12, no. 1, pp. 7–11.

    Google Scholar 

  36. Jago, A.G. and Vroom, V.H., Perceptions of Leadership Style: Superior and Subordinate Descriptions of Decision-making Behavior, in Leadership Frontiers, Hunt, J.G. and Larson, L.L., Eds., Carbondale: Southern Illinois Univ. Press., 1975, pp. 103–120.

    Google Scholar 

  37. Manz, C.C. and Sims, H.P., Leading Workers to Lead Themselves: the External Leadership of Selfmanaging Work Teams, Administrat. Sci. Quart., 1987, pp. 106–129.

  38. Oldman, G.R. and Hackman, J.R., Relationships between Organization Structure and Employee Reactions: Comparing Alternative Frameworks, Administrat. Sci. Quart., 1981, pp. 66–83.

  39. Peters, T., Thriving on Chaos, New York: Knopf, 1987.

    Google Scholar 

  40. Hardy, G.H., Littlewood, J.E., and Polya, G., Inequalities, London: Cambridge Univ. Press, 1934.

    Google Scholar 

  41. Voronin, A.A., Stable Development-Myth or Reality?, Mat. Obrazovanie, 2000, no. 1(12), pp. 59–67.

    Google Scholar 

  42. Mishin, S.P., Cost of Reorganizing the System Structure, in Tr. kafedry mat. analiza and teorii funktsii Volg. Univ. (Trans. Chair of Math. Anal. Function Theory, Volgograd. Univ.), 2002, pp. 178–198.

Download references

Author information

Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    S. P. Mishin

Authors
  1. S. P. Mishin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mishin, S.P. Optimal Stimulation in Multilevel Hierarchical Structures. Automation and Remote Control 65, 768–789 (2004). https://doi.org/10.1023/B:AURC.0000028324.69867.e4

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:AURC.0000028324.69867.e4

Keywords

Search

Navigation