Investigation of the problems of the allocation of resources among enterprises

Authors

  • Alla P. Iakovleva Department of the mathematical methods of system analysis of ESC "Institute for Applied System Analysis" NTUU "KPI", Kyiv, Ukraine
  • Ivan O. Kurdup ESC "Institute for Applied System Analysis" NTUU "KPI", Kyiv, Ukraine https://orcid.org/0000-0002-0677-9890

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2016.2.07

Keywords:

dynamic programming equation, multistage process, optimal resources allocation, production function

Abstract

The problem of the allocation of resources among enterprises from different industries as parts of the economic conglomerate is considered. The different ways of stating the problem and inputting the data, taking into account the possibility of building their own functions of return, control action, and time are presented. The key method of solving the problem is the dynamic programming [1]. Also, we investigated an alternative formalization of the problem in which the phase and control variables may take an infinite number of values, which made it impossible to use standard tables for dynamic programming and lead to analytical calculations. In the latter case, we provide a number of limitations, which convert the function of return to the form that satisfies the conditions of production functions.

Author Biographies

Alla P. Iakovleva, Department of the mathematical methods of system analysis of ESC "Institute for Applied System Analysis" NTUU "KPI", Kyiv

Alla Petrivna Iakovleva,

senior researcher, candidate of phys.-math. sciences, associate professor of the department of the mathematical methods of system analysis of ESC "Institute for Applied System Analysis" NTUU "KPI", Kyiv, Ukraine

Ivan O. Kurdup, ESC "Institute for Applied System Analysis" NTUU "KPI", Kyiv

Ivan Oleksandrovych Kurdup,

student of ESC "Institute for Applied System Analysis" NTUU "KPI", Kyiv, Ukraine

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Published

2016-06-21

Issue

Section

Methods of optimization, optimum control and theory of games