Optimization of geodetic networks

Abstract

It is the aim of this paper to give a concise review of the current state of research, the trends, and the outstanding problems in the optimization of geodetic networks. The datum problem, which has to be solved in the computational stage, is referred to as the zero‐order design problem. In the real design stage, three classes of problems have arisen: the configuration problem as the first‐order design problem, the weight problem as the second‐order design problem, and the optimal improvement of an existing network as the third‐order design problem. Furthermore, all subproblems must be analyzed within the three general objectives of geodetic networks: precision, reliability, and cost.