Summary
In this paper mathematical programming models and special solution algorithms are presented for the optimal allocation of data points for regionalized variables. Two models are discussed; the first one minimizes the estimation variance subject to a given number of additional measurement points or additional measurement cost. The second model minimizes the number of additional points or additional cost subject to upper bounds given to the estimation variances. The models are based on the theory of kriging and the properties of the estimation variances, which lead to certain multiobject programming problems. As it can be shown, a special branch and bound algorithm can be used for solving the resulting nonlinear programming problems
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Szidarovszky, F. Multiobjective observation network design for regionalized variables. International Journal of Mining Engineering 1, 331–342 (1983). https://doi.org/10.1007/BF00881549
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DOI: https://doi.org/10.1007/BF00881549