An example of reliability analysis for stochastic network connection

• Autorzy: Prószyński W.
• Języki publikacji: EN

Abstrakty

EN

It 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.

Słowa kluczowe

EN

stochastic network; geodesy

PL

sieci stochastyczne; geodezja

• Wydawca: Wydział Geodezji i Kartografii Politechniki Warszawskiej
• Czasopismo: Reports on Geodesy
• Rocznik: 2011
• Tom: z. 1/90
• Strony: 409--415
• Opis fizyczny: Bibliogr. 7 poz., rys., wykr.

Twórcy

autor

Prószyński W.

• Section of Engineering Surveying and Detail Surveys, Faculty of Geodesy and Cartography, Warsaw University of Technology

Bibliografia

• Caspary W F (1988) Concepts of network and deformation analysis, Monograph 11, School of Surveying, The Univ. of New South Wales, Kensington, N.S.W., Australia.
• Collective work (1990) Engineering surveying, vol. II (in Polish); Chapter “Fundamentals of the a priori accuracy analyses in engineering surveys”, PPWK, Warszawa.
• Knight N L, Wang J, Rizos C (2010) Generalised measures of reliability for multiple outliers, J Geod (84): 625-635.
• Prószyński W (1990) Transformations of the reference system in engineering survey networks, Manuscripta Geodaetica, 15: pp. 315-324.
• Prószyński W (2010) Another approach to reliability measures for systems with correlated observations. J Geod. 84: pp. 547-556.
• Rao C R, Mitra S K (1971) Generalized inverse of matrices and its applications. John Wiley, New York.
• Schaffrin B (1997) Reliability measures for correlated observations, Journal of Surveying Engineering, Vol. 123, pp. 126-137.