<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Optimal design of geodetic network is a basic subject of many engineering projects. An observation plan is a concluding part of the process. Any particular observation within the network has through adjustment a different contribution and impact on values and accuracy characteristics of unknowns. The problem of optimal design can be solved by means of computer simulation. This paper presents a new method of simulation based on sequential estimation of individual observations in a step-by-step manner, by means of the so-called filtering equations. The algorithm aims at satisfying different criteria of accuracy according to various interpretations of the covariance matrix. Apart of them, the optimization criterion is also amount of effort, defined as the minimum number of observations required.</p><p>A numerical example of a 2-D network is illustrated to view the effectiveness of presented method. The results show decrease of the number of observations by 66% with respect to the not optimized observation plan, which still satisfy the assumed accuracy.</p></abstract>

Optimal design of geodetic network is a basic subject of many engineering projects. An observation plan is a concluding part of the process. Any particular observation within the network has through adjustment a different contribution and impact on values and accuracy characteristics of unknowns. The problem of optimal design can be solved by means of computer simulation. This paper presents a new method of simulation based on sequential estimation of individual observations in a step-by-step manner, by means of the so-called filtering equations. The algorithm aims at satisfying different criteria of accuracy according to various interpretations of the covariance matrix. Apart of them, the optimization criterion is also amount of effort, defined as the minimum number of observations required.A numerical example of a 2-D network is illustrated to view the effectiveness of presented method. The results show decrease of the number of observations by 66% with respect to the not optimized observation plan, which still satisfy the assumed accuracy.

Optimization of observation plan based on the stochastic characteristics of the geodetic network

Faculty of Civil Engineering and Geodesy, Military University of Technology Kaliskiego St. 2, 00-908, Warsaw, Poland

University of Life Science in Lublin, Department of Environmental Engineering and Geodesy, kr. St. Leszczyńskiego St. 7, 20-069 Lublin, Poland

Reports on Geodesy and Geoinformatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Optimal design of geodetic network is a basic subject of many engineering projects. An observation plan is a concluding part of the process. Any particular...

Optimization of observation plan based on the stochastic characteristics of the geodetic network

Published Online: Jul 14, 2016

Page range: 16 - 26

DOI: https://doi.org/10.1515/rgg-2016-0018

Keywords
optimization, observation plan, horizontal network, cost, accuracy, covariance matrix, sequential adjustment

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Optimization of observation plan based on the stochastic characteristics of the geodetic network

Published Online: Jul 14, 2016

Page range: 16 - 26

DOI: https://doi.org/10.1515/rgg-2016-0018

Keywordsoptimization, observation plan, horizontal network, cost, accuracy, covariance matrix, sequential adjustment

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
optimization, observation plan, horizontal network, cost, accuracy, covariance matrix, sequential adjustment