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Optimal Spatial Allocation of Groundwater Under Fuzzy Hydraulic Parameters

Author(s): E. Sidiropoulos

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Abstract: A problem of optimally allocating groundwater is presented, that involves extraction and transportation cost. The groundwater model that underlies the allocation process presents an uncertainty in its basic physical parameter, namely the hydraulic conductivity. This uncertainty is expressed by means of fuzzy sets. The hydraulic conductivity is not a decision variable in the optimization problem. However, it renders fuzzy the cost function to be minimized. Therefore, in the present problem the objective function is an appropriate measure of the fuzzy cost function. The concept ofα-cuts is utilized for the computation of this function and of its measure. The optimization problem is treated by means of a special genetic algorithm, the operational genetic algorithm (OGA), which has been introduced elsewhere for the solution of spatial problems with crisp objective functions. A discussion is carried out concerning features of the resulting spatial configurations, especially in terms of compactness. Differences between crisp and fuzzy results are considered and discussed.

DOI:

Year: 2016

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