An example of reliability analysis for stochastic network connection
AbstractIt is an introductory study which may serve as a basis for future development of a more general approach to reliability analysis of stochastic network connection. Since the coordinates of connection points are generally correlated variables, a method of reliability analysis should be that for systems with correlated observations. An approach proposed earlier by the author of the present paper, destined for the stage of network design, is used for this purpose. A notion of contact elements is introduced, i.e. the elements being geometrical quantities (e.g. distances, angles) defined on connection points. In addition to the use of given covariance matrices, a method of creating special covariance matrices for testing the connection structure is presented, the matrices being built for assumed accuracies of the contact elements. A numerical example is provided showing the reliability analysis for connecting a new levelling network to existing benchmarks of given elevations and their covariance matrix. The effects on reliability indices of using different covariance matrices are studied.
|Journal series||Reports on Geodesy, ISSN |
|Citation count*||0 (2015-05-14)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.