HIERARCHICAL SYSTEM OF INTERSECTORAL BALANCE MODELS AND THE MODELS OF TERRITORIAL PRODUCTION DISTRIBUTION. PART 2. ENUNCIATION OF THE TASK AND A GENERAL APPROACH TO ITS DECISION

Pozamantir, Elmar

PII

S042473880000540-3-1

DOI

10.7868/S0000540-3-1

Publication type

Article

Status

Published

Authors

Elmar Pozamantir

Volume/ Edition

Volume 53 / Issue 3

Pages

3-17

Abstract

Model of input-output balance (MIOB, Makarov, 2007; Pozamantir, 2014) is connected with a model of territorial manufacturing locations, consumption and transportation of products in the following way. In MIOB total production and consumption volumes on the country are determined for each kind of product. Along with it, unit costs of transport services are used, but it isn’t taken into account that their value depends on territorial location of the production and consumption places of particular products being transported. Moreover, not only total volume of transport activities in this field depends on these locations, but distribution of the volume by territory is a pendent or a partially interchangeable element of the transportation system as well. In its turn, it determines the necessity to develop those of them that prove to be “bottlenecks”. Transport elements’ development requires investment in territory-fixed elements of the transportation system and these investments must be consistent with the total volume of investment in transport determined in MIOB. A system of models is constructed, in which MIOB and model of choosing territorial manufacturing locations are interconnected. Total (for the country) production and consumption volumes are transferred from. MIOB to a model of territorial manufacturing locations, as well as the investment volumes. In the location task these total values are distributed over the country’s territory so that total production and transportation costs were minimized. The values of average transportation distances determined by the chosen location are transferred in the opposite direction, as well as a list of transport objects, which capacity must be increased in order to realize the chosen location. It’s shown that the problem of choosing manufacturing and consuming locations is a task of linear programming of extremely large dimensions; however it has a special block structure allowing to organize an effective computing process. The equations connecting the separate blocks are divided into parts, corresponding to each block, by introducing additional variables, and their values are improved by iterations on the base of dual estimates of blocks limitations. Verification and calibration of the model is carried through calculations on the data of a reporting period and comparing the data received with the reporting data.

Keywords

output, territorial location, calculated transport network, network junctions and sections, volumes of dispatches and receipts in junction, multi-level block linear programming

Date of publication

01.07.2017

Year of publication

2017

Number of purchasers

Views

963

References

GOST	Pozamantir E. HIERARCHICAL SYSTEM OF INTERSECTORAL BALANCE MODELS AND THE MODELS OF TERRITORIAL PRODUCTION DISTRIBUTION. PART 2. ENUNCIATION OF THE TASK AND A GENERAL APPROACH TO ITS DECISION // Economics and the Mathematical Methods. – 2017. – V. 53. – Issue 3 C. 3-17 .
MLA	Pozamantir, Elmar "HIERARCHICAL SYSTEM OF INTERSECTORAL BALANCE MODELS AND THE MODELS OF TERRITORIAL PRODUCTION DISTRIBUTION. PART 2. ENUNCIATION OF THE TASK AND A GENERAL APPROACH TO ITS DECISION." Economics and the Mathematical Methods. 53.3 (2017).:3-17.
APA	Pozamantir E. (2017). HIERARCHICAL SYSTEM OF INTERSECTORAL BALANCE MODELS AND THE MODELS OF TERRITORIAL PRODUCTION DISTRIBUTION. PART 2. ENUNCIATION OF THE TASK AND A GENERAL APPROACH TO ITS DECISION. Economics and the Mathematical Methods. vol. 53, no. 3, pp.3-17

RAS Social ScienceЭкономика и математические методы Economics and the Mathematical Methods

HIERARCHICAL SYSTEM OF INTERSECTORAL BALANCE MODELS AND THE MODELS OF TERRITORIAL PRODUCTION DISTRIBUTION. PART 2. ENUNCIATION OF THE TASK AND A GENERAL APPROACH TO ITS DECISION

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RAS Social ScienceЭкономика и математические методы Economics and the Mathematical Methods

HIERARCHICAL SYSTEM OF INTERSECTORAL BALANCE MODELS AND THE MODELS OF TERRITORIAL PRODUCTION DISTRIBUTION. PART 2. ENUNCIATION OF THE TASK AND A GENERAL APPROACH TO ITS DECISION

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