Teoria grafów i optymalna lokalizacja jednostki produkcyjnej

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Wydział Prawa i Administracji UAM

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The Theory of Graphs and the Optimum Location of a Production Unit


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.



Digitalizacja i deponowanie archiwalnych zeszytów RPEiS sfinansowane przez MNiSW w ramach realizacji umowy nr 541/P-DUN/2016



Ruch Prawniczy, Ekonomiczny i Socjologiczny 33, 1971, z. 4, s. 107-117



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Uniwersytet im. Adama Mickiewicza w Poznaniu
Biblioteka Uniwersytetu im. Adama Mickiewicza w Poznaniu
Ministerstwo Nauki i Szkolnictwa Wyższego