Teoria grafów i optymalna lokalizacja jednostki produkcyjnej
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Date
1971
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Publisher
Wydział Prawa i Administracji UAM
Title alternative
The Theory of Graphs and the Optimum Location of a Production Unit
Abstract
This model, in comparison to Weber's classical theory is based on few and weak
hypotheses but they can be easily and adequately tested.
Neither location figures (Standortsfigur) are supposed nor transport area, transport
costs proportional to weight and distance, uniform and equal in every place
prices of inputs and outputs are postulated in the model.
The places for offering the effectively utilized inputs and the places for
marketing the effectively used up outputs are no longer data a priori, but they
are determined by the model. The environment of the production unit is enriched
because passing points and noteworthy places are taken into account. Geographical
data are no longer considered to be a distortion of the perfect economic model, but
they are formalized and integrated into the theoretical model.
The number and location of multiple establishments are determined in the
cases in with they should exist. The dimensions of the establishments and their
productive capacity are also taken into consideration, but as dependent variables.
Besides, the model admits various extensions by means of some extra complications.
It is possible to introduce one or more monetary frontiers. To do so it is
sufficient to partition the H and H' p-graphs suitably, according to the case, and
utilize one or more multipliers equal to the coefficients of change. It is also possible
to consider one or several customs frontiers provided that multipliers corresponding
to the regulations in each partial subgroup of graphs are introduced. The same
holds also in the case of taxes and subventions that would come into question.
They will be considered in each partial subgroup, in the H p-graph or the
H' p-graph, according to the financial properties represented by their institutions.
According to all the rigours the elementary model evidently tolerates those
complications provided that the hypothesis of perfect competition is intact, from
which their economic neutrality results. The more realistic models issued from the
elementary model are exempt from those restrictions.
The model presented here, however, remains static. Its dynamization is a
question for the future. It has been considered in the quoted case of a model extended
to the situation of oligopoly.
Lastly this model makes possible the inclusion of classical Weberian theories
of location as particular cases because their integration would take for gnanted
only a restricted interpretation of the hypotheses and of data as well as a passage
from the topological graphs to the metric graphs.
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Digitalizacja i deponowanie archiwalnych zeszytów RPEiS sfinansowane przez MNiSW w ramach realizacji umowy nr 541/P-DUN/2016
Keywords
Citation
Ruch Prawniczy, Ekonomiczny i Socjologiczny 33, 1971, z. 4, s. 107-117
Seria
ISBN
ISSN
0035-9629