A strategy for optimum designing of the geodetic networks from the cost, reliability and precision views

Eshagh, M. and Kiamehr, R. (2007) A strategy for optimum designing of the geodetic networks from the cost, reliability and precision views. Acta Geodaetica et Geophysica Hungarica, 42 (3). pp. 297-308. ISSN 1217-8977

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Abstract

There are different criteria for designing a geodetic network in an optimal way. An optimum network can be regarded as a network having high precision, reliability and low cost. Accordingly, corresponding to these criteria different single-objective models can be defined. Each one can be subjected to two other criteria as constraints. Sometimes the constraints can be contradictory so that some of the constraints are violated. In this contribution, these models are mathematically reviewed. It is numerically shown how to prepare these mathematical models for optimization process through a simulated network. We found that the reliability model yields small position changes between those obtained using precision respectively. Elimination of some observations may happen using precision and cost model while the reliability model tries to save number of observations. In our numerical studies, no contradictions can be seen in reliability model and this model seems to be more suitable for designing of the geodetic and deformation networks.

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