Vízügyi Közlemények, 1973 (55. évfolyam)

4. füzet - Rövidebb közlemények és beszámolók

(12) standard of consumption, while a is representative of the social objective following from the first assumption. b ) ' Industrial demands P — LJ y, where J is the standard of industrial consumption and y is the consumption modulus of the potential industrial structure. c) Agricultural demands j G — DN, where D is the magnitude of the area that can be irrigated and N is the stan­dard rate of application, which depends on the crop structure, the climate, the soil, etc. The number of population in the development sections is regarded a random variable, whereas the standard consumption rates are time dependent. The sphere of sources of supply include the subsurface and surface waters, natural and artificial aquifers alike. The sources are described by yield characteristics around the times of peak consumptions. A code system is introduced for denoting the supply sources and the consu­mers. The abstraction and treatment works supplied from the sources are taken into consideration at all potential capacity levels. For connecting the sources of supply and the consumers route lines, or main canals are used. The alternatives thereof are first evaluated taking their location, cross-section and technology into consideration. The individual elements of watersupply systems are combined according to the buildingblock principle into potential systems. For combination an integer prog­ramming model has bee t introduced x>0; integer, f(x) + и = b, g(x) + h(u) — min, where the x variables may assume the values 1 or 0, fitting, or excluding, respec­tively, the element represented by them into the potential system. The function g(x) measures the construction-and 50-year operating costs of the potential systems, whereas the function h(u ) is a measure of the social loss due to the unsatisfied demands. The coefficients involved in the function g(x) are functions themselves. The fundamental variables involved in these functions are capacity and time. The pas­sing of time results in shifts in the ratios within the price system of a country. The extent of these shifts must be estimated. In the estimated price system the total costs of meeting the full demand can be calculated. These costs are distributed over three periods. The ratios of the costs in the individual periods may shift and in such cases the investment becomes more expensive and unsatisfied demands may also arise. The model is based on a store of data, permitting a great number of alternati­ves to be investigated. The parameters in these alternatives are 1.) the rate of growth of the national income, 2.) the standard application and consumption rate functi­ons, 3.) the growth of population, 4.) the growth rate of agriculture, 5.) the move­ment of labour, etc. The first computations have been completed for a region, together with their numerical and economic evaluation, but these will not be detailed here.

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