Skip to main content
Log in

The operating core of an organization: A constrained optimization model

  • Large Scale Systems Control
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

This paper suggests a constrained optimization model for the operating core of an organization. Structurally, the core consists of the basic technological module and several modules of support facilities. The production function of the operating core is represented through the superposition of Leontief production functions corresponding to each of the modules. We reduce the optimization problem to a linear programming problem with a parameter describing the operational structure of the core. In addition, we develop a certain algorithm for automatic construction of the basic equations for each value of the parameter. Finally, the optimization problem is solved numerically for a wide range of the model variables and parameters. The proposed model may serve for designing generalized control mechanisms for an organizational system on a large horizon.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Voronin, A.A. and Mishin, S.P., Algorithms to Seek the Optimal Structure of the Organizational System, Autom. Remote Control, 2002, vol. 63, no. 5, pp. 803–814.

    Article  MATH  MathSciNet  Google Scholar 

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

    Google Scholar 

  3. Voronin, A.A. and Mishin, S.P., A Model of Optimal Control of Structural Changes in an Organizational System, Autom. Remote Control, 2002, vol. 63, no. 8, pp. 1329–1342.

    Article  MATH  MathSciNet  Google Scholar 

  4. Voronina, I.D., The Control Problem for an Organizational Structure under the Conditions of a Global Innovative Process, Upravlen. Bol’sh. Sist., 2006, nos. 12–13, pp. 51–59.

    Google Scholar 

  5. Gubko, M.V., Matematicheskie modeli optimizatsii ierarkhicheskikh struktur (Mathematical Methods of Optimization of the Hierarchical Structures), Moscow: LENAND, 2006.

    Google Scholar 

  6. Gubko, M.V., Structure of the Optimal Organization of a Continuum of Executives, Autom. Remote Control, 2002, vol. 63, no. 12, pp. 1966–1979.

    Article  MATH  Google Scholar 

  7. Kleiner, G.B., Proizvodstvennye funktsii: teoriya, metody, primenenie (Production Functions: Theory, Methods, Application), Moscow, Finansy i Statistika, 1986.

    MATH  Google Scholar 

  8. Mintzberg, H., Structure in Fives: Designing Effective Organizations, Englewood Cliffs: Prentice Hall, 1992. Translated under the title Struktura v kulake. Sozdanie effektivnoi organizatsii, St. Petersburg: Piter, 2002.

    Google Scholar 

  9. Mishin, S.P., Optimal’nye ierarkhii upravleniya v ekonomicheskikh sistemakh (Optimal Control Hierarchies in Economic Systems), Moscow: PMSOFT, 2004.

    Google Scholar 

  10. Novikov, D.A., Teoriya upravleniya organizatsionnymi sistemami (Theory of Control in Organizational Systems), Moscow: Mosk. Psikh.-Sots. Inst., 2005.

    Google Scholar 

  11. Papadimitriou, C.H. and Steiglitz, K., Combinatorial Optimization: Algorithms and Complexity, Englewood Cliffs: Prentice Hall, 1982. Translated under the title Kombinatornaya optimizatsiya. Algoritmy i slozhnost’, Moscow: Mir, 1985.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A.A. Voronin, M.A. Kharitonov, 2012, published in Upravlenie Bol’shimi Sistemami, 2012, No. 39, pp. 165–183.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Voronin, A.A., Kharitonov, M.A. The operating core of an organization: A constrained optimization model. Autom Remote Control 75, 167–178 (2014). https://doi.org/10.1134/S0005117914010135

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117914010135

Keywords

Navigation