Investigation of the problems of the allocation of resources among enterprises
DOI:
https://doi.org/10.20535/SRIT.2308-8893.2016.2.07Keywords:
dynamic programming equation, multistage process, optimal resources allocation, production functionAbstract
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.References
Bellman Richard. Dynamichne prohramuvannja / Richard Bellman. — M.: Inostr. lit-ra, 1960. — 400 s.
Venttsel' E.S. Issledovanie operatsij: zadachi, printsipy, metodologija / E.S. Venttsel'. — M.: Nauka, 1980. — 208 s.
Taha H.A. Vvedenie v issledovanie operatsij / Kh.A. Takha. — 7-e yzd.; per. s anhl. — M., 2005. — 912 s.
King Ian. A Simple Introduction to Dynamic Programming in Macroeconomic Models / Ian King // The University of Auckland, 2002. — 30 p.
Giegerich R. A Discipline of Dynamic Programming over Sequence Data / R. Giegerich, C. Meyer, P. Steffen // Faculty of Technology. — Bielefeld University, 2004. — 53 p.
Al'sevich V.V. Metody optimizatsii: uprazhnenija i zadanija / V.V. Al'sevych, V.V. Krakhotko. — Mn.: BHU, 2005. — 405 s.
Kormen T. Algoritmy: postroenie i analiz / T. Kormen, Ch. Lejzerson, R. Rivest, K. Shtajn; pod red. I.V. Krasikova. — 2-e izd. — M.: Vil'jams, 2005. — 1296 s.