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GNSS NETWORK OPTIMIZATION BY THE METHOD OF THE MAXIMAL PRECISION INCREMENT
Abstract
Optimization of the measurements is an important theme nowadays of the geodesy and especially engineering geodesy. The optimization can be categorized into orders, from the zero to the third order. The zero order design is the coordinate system selection, the first order is the configuration optimization, the second order is the optimization of the number of the repetitions, the third order is the improvement of the existing network by adding point and/or observations. In the engineering surveying the second order design need to be addressed. Thus there are known possible locations of network points, the desired accuracy, possible measurements within the existing situation, and it is necessary to choose such measurements and their numbers of repetition, so that their number was minimal (resp. used energy on their implementation) and yet the required accuracy was met. There were many attempts to meet this objective, but usually by the deployment of general mathematical optimization methods that do not respect the character of geodetic measurements and rational optimization results demands. There was designed a new method which, in our opinion, meets these requirements and is based on gradual selection of the most beneficial measurement to meet the accuracy requirements. The method was successfully tested on the levelling networks optimization. In the paper there are presented results of the quite effective optimization application on the GNSS network, consisting of the multiple two-receiver baselines.
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