Abstract
In this paper, the problem of minimization of the number of local navigation system (LNS) reference points (RPs) and RPs’ location optimization is posed according to the criterion of ensuring the factor of geometric dilution of precision (GDOP) averaged over the space is not worse than a given one. According to authors’ best knowledge, this is the first time such a problem has been posed and solved. An approximate numerical solution to the problem based on a genetic algorithm is proposed. The effectiveness of the proposed method is assessed by simulating the placement of a different number of ranging LNS RPs in rooms of various configurations and comparing the result with the quasi-optimal result of a complete numerical search of all possible locations of the LNS anchors. The conclusion is made on the applicability of the proposed method for solving the problem and the prospects of building on its basis a tool for automating the development of positional LNS to reduce the development time and the cost of infrastructure.
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