Abstract

Geodetic network optimization can be carried out by taking into account the three main design criteria, which are contained in [11, 13]. Stages of designing and establishing optimal geodetic networks for the stated purposes have been presented in [6]. The authors of [5, 14, 15], in their studies, focus attention on the selection of appropriate weights for observations in geodetic networks. One way of geodetic network optimization is the strategy of achieving balance in observations and this has been developed by Kampmann [8] and [9] and by Caspary [4]. Another geodetic network optimization method which can be used in establishing the network has been presented by Hekimoglu [7]. The problem of optimizing geodetic networks is closely related to the internal and external network reliability. The theory of network reliability is the subject of many scientific papers, and the precursors of these studies are Baarda [1–3] and Pope [10]. Significant achievements in this area can be found in works by Proszynski [11] and [12]. This work concerns a geodetic network being a setting out control, thus an essential criterion of its optimization is the limited construction tolerance, which refers to elements of the layout plan. In the optimization process the structure of the control and accuracy of surveys of its elements are taken into account. In these considerations, modern surveying instruments of the highest accuracy, the optimal number of observations that can be taken in the field, and the established accuracy of the estimation process in reference to the permissible construction tolerances of objects being staked out, are taken into account.

Highlights

  • Geodetic network optimization can be carried out by taking into account the three main design criteria, which are contained in [11, 13]

  • One way of geodetic network optimization is the strategy of achieving balance in observations and this has been developed by Kampmann [8] and [9] and by Caspary [4]

  • Another geodetic network optimization method which can be used in establishing the network has been presented by Hekimoglu [7]

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Summary

Introduction

Geodetic network optimization can be carried out by taking into account the three main design criteria, which are contained in [11, 13]. One way of geodetic network optimization is the strategy of achieving balance in observations and this has been developed by Kampmann [8] and [9] and by Caspary [4]. The theory of network reliability is the subject of many scientific papers, and the precursors of these studies are Baarda [1,2,3] and Pope [10] Significant achievements in this area can be found in works by Prószyński [11] and [12]. On the basis of the covariance matrix for estimated coordinates of points of a setting out control a global inaccuracy parameter has been defined. To solve above problem two orthogonal functions Fd and Fk have been defined These func‐ tions tie all points of the setting out control. The idea behind this article is an attempt to define an index of inaccuracy of a setting out control on the basis on the variance‐covariance matrix

Construction Tolerances for Selected Structures
Conclusions
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