The use of evolutionary algorithms for designing an optimum structure of a geodesic measurement and control network

Maria Mrówczyńska,Jacek Sztubecki,K Wilde,M Niedostatkiewicz

doi:10.1051/matecconf/201926207008

Abstract

The paper presents an attempt to determine an optimum structure of a geodesic measurement and control network used for geodesic monitoring to determine horizontal displacements of buildings. In geodesy, horizontal networks can be used to determine terrain deformations as well as displacements of engineering structures (dams, water reservoirs, open-cast mines). The network subjected to analysis is a directional network. In order to find a correct solution, its structure should include so-called supernumerary observations. An adequate number of observations should be carried out in the network to obtain a solution with reliable values of horizontal displacements. Moreover, the way in which the observations are carried out and their number should make it possible to show changes taking place in the object and meet the economic criteria of geodesic measurements. In order to optimize the structure of a geodesic measurement and control network, information entropy and evolutionary algorithms are used in the paper. Information entropy is a logarithmic measure of probability, and an optimum number of observations carried out in the network depends on the increment of the content of information in the observation system. Evolutionary algorithms were developed in the 1980s, and they are currently very popular and widely used. Their main principle is based on the evolution or behaviour of the best adapted individuals in subsequent computational cycles.

Highlights

According to current regulations [1] in order to ensure safety during the construction of a building and its operation, it is necessary to carry out geodesic measurements to determine displacements of the object and its foundation as well as its deformations, and to identify the impact of the object on neighbouring objects
The duration of a periodical measurement should be so short that the expected change in displacement is smaller than the mean error of the measurement mp
For the analysis, whose task was to determine an optimum network structure, part of a geodesic measurement and control network consisting of 12 points was used, where 78 directions were observed (Fig. 4)

Summary

Introduction

According to current regulations [1] in order to ensure safety during the construction of a building and its operation, it is necessary to carry out geodesic measurements to determine displacements of the object and its foundation as well as its deformations, and to identify the impact of the object on neighbouring objects. The duration of a periodical measurement should be so short that the expected change in displacement is smaller than the mean error of the measurement mp In this context, it is important to plan the structure of the measurement and control network in such a way that it ensures that changes in the object are recorded and that it is possible to carry out measurements at the right time [6]. The formulation of the problem of optimizing the structure of a measurement and control network presented in the paper is based on minimization of the objective function, defined as information entropy that transmits a specific amount of information on the current state of the observation system [7]. The minimization of the objective function was carried out in the paper on the basis of a solution using evolutionary techniques

Methods

Results

Conclusion