The dynamic programming approach to water‐resources development

Dynamic programming is applied to the general class of water-resources problems to permit optimum development with respect to all possible benefits. Since physical alternatives which are to be compared must be expressed in common units of value, the equations are written in terms of dollar benefits, cost, etc. The relationship of the physical quantities involved should be kept in mind throughout, since in hydrologic planning these physical quantities must be reconciled. In water-resources development the purpose of the hydrologist or hydraulic engineer is to determine the manner in which the natural stream systems can be modified to best serve all the competing demands for water, power, protection, etc. In this paper dynamic programming is applied to the optimizing process to permit determination of the ‘optimum policy’ over a very broad range of alternatives, a determination not remotely possible by conventional analysis.

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