Skip to main content

Abstract

The paper presents an economic model of a production cluster (EMPC) consisting of three subsystems: supply of materials and means of labor, as well as production of final product. Authors defined the task of finding EMPC’s optimal steady state, given a condition of final product production volume maximization. Authors provide an algorithm for searching production cluster’s steady state. The investigation results of an effect of various parameters on EMPC’s optimal steady state are presented. The problem of optimal control for production clusters is formulated.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Porter, M.: On Competition, p. 576. Harvard Business Review Press, Boston (2008)

    Google Scholar 

  2. Asherie, N., Chincarini, L.: An analytical model for the formation of economic clusters. Reg. Sci. Urban Econ. 38(3), 252–270 (2008)

    Google Scholar 

  3. Partha, S.: Capital accumulation and convergence in a small open economy. Rev. Int. Econ. 21(4), 690–704 (2013)

    Google Scholar 

  4. Supriyo, D.: Intangible capital and growth in the ‘new economy’: Implications of a multi-sector endogenous growth model. Struct. Change Econ. Dyn. 28, 25–42 (2014)

    Article  Google Scholar 

  5. Ashimov, A., Sultanov, B., Borovskiy, Y., Ashimov, A., Adilov, Z., Novikov, D.: Macroeconomic analysis and parametric control of a national economy. Springer, US, 288 p (2013)

    Google Scholar 

  6. Dumitru, O., Loretti, D., Mihaela, N.: Deterministic and stochastic three-sector dynamic growth model with endogenous labour supply. Econ. Rec. 89(284), 99–111 (2013)

    Google Scholar 

  7. Goncalves, J., Lestas, I., Tonita, R., Vinnicombe, G.: Fluctuations and limitations of a multi-sector economic model with delays. In Proceedings of the Conference on American Control, pp. 6904–6909 (2010)

    Google Scholar 

  8. Loveridge, S.: A typology and assessment of multi-sector regional economic impact models. Reg. Stud. 38(3), 305–317 (2004)

    Google Scholar 

  9. Zhang, J.S.: The analytical solution of balanced growth of non-liner dynamic multi-sector economic model. Econ Model. 28, 410–421 (2011)

    Google Scholar 

  10. Ramishvili, I.: Mathematical model of a closed economic system considering delay factor and neutral optimal control problem. In: Several Problems of Applied Mathematics and Mechanics, pp. 145–149 (2013)

    Google Scholar 

  11. Kolemayev, V.A.: Economic-mathematical modeling (in Russian), p. 421. UNITY, Moscow (2005)

    Google Scholar 

  12. Dasterdi, R.B., Isfahani, R.D.: Equity and economic growth, a theoretical and empirical study: MENA zone. Econ. Model. 28, 694–700 (2011)

    Article  Google Scholar 

  13. Aipanov, Sh., Murzabekov, Z.: Analytical solution of a linear quadratic optimal control problem with control value constraints. Comput. Syst. Sci. Int. 53(1), 84–91 (2014)

    Google Scholar 

  14. Tokarev, V.V.: On the signs of pulses in the problems of optimal control with fixed ends of the trajectories. Autom. Remote Control 62(8), 1263–1272 (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zainelkhriet Murzabekov .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Murzabekov, Z., Milosz, M., Tussupova, K. (2016). Modeling and Optimization of the Production Cluster. In: Grzech, A., Borzemski, L., Świątek, J., Wilimowska, Z. (eds) Information Systems Architecture and Technology: Proceedings of 36th International Conference on Information Systems Architecture and Technology – ISAT 2015 – Part II. Advances in Intelligent Systems and Computing, vol 430. Springer, Cham. https://doi.org/10.1007/978-3-319-28561-0_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-28561-0_8

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28559-7

  • Online ISBN: 978-3-319-28561-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics