Optimization of Observational Accuracies in Travers e Adjustment by Method of Least Squares.

Ezeigbo, U. C (1974)

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Thesis

Using simulation techniques, five types of traverses were generated. By considering the following different adjustment criteria, the adjusted coordinates of traverse stations were compared and analysed to see which con ditions give the least positional displacement of points from their "true" positions: (1) Using the three usual constraint equations with either bearings or angles considered as observed quantities (2) Inclusion of a fourth constraint equation based on accuracy specification of the traverse, and finally (3) Adopting different weighting systems. It was found that the inclusion of the fourth constraint equation together with the three usual constraint equations is not desirable since it distorts the trave rse much more than the usual methods of traverse adjustment and does not even guarantee the closure of the adjusted traverses. Also the optimum observational accuracy is achie ved by maintaining the relation Ps82a2Ps82s provided the ration q 82a/ S 82aSin 1 n is greater than or equal to 20.

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