Optimization of Geodetic Networks

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

JJM511 Analysis of Geodetic Networks

Course Contents

This course provides candidates with profound knowledge on; determination of objective function and risk functions, estimates for optimization models, l1 norm, l2 norm, non-parametric estimation, precision, reliability and cost criteria determination, criterion matrices, types of optimization: optimization by objective function, precision optimization, reliability, optimization, cost optimization, by design parameters optimization; datum optimization, location, optimization, shape optimization, network development and improvement, mathematical optimization, linear optimization, simplex algorithm, dynamic optimization and examples, practical and numerical solution of the dynamic optimization.

Weekly Schedule

1) Objective functions for Design of Geodetic Networks, and risc functions
2) Parameter Estimates for Optimization Models; L1 Norm, L2 Norm, Nonparametric Estimates, Heuristic approximations
3) Precision, Reliability and Cost Criterias for Geodetic Networks. Criterion Matrices
4) Optimization by using Objective Function. Precision Optimization and Cost Optimization,Reliability Optimization
5) Optimization by using Design Parameters. Datum Optimization
6) Optimization by using Design Parameters Determination of Optimal Network Geometry. Positional Optimization.
7) Optimization by using Design Parameters. Determination of Optimal Observation Plan
8) Midterm examination/Assessment
9) Optimization by using Design Parameters. Determination of Optimal weight distribution
10) Optimization by using Design Parameters. Solutions of Least Squares Estimation by using Criterion Matrices
11) Optimization by using Design Parameters. Improvement of the network.
12) Mathematical Optimization. Linear Optimization and Simplex Algorithm
13) Optimization of Geodetic Networks by using Linear Optimization techniques.
14) Optimization Startegies for sample Geodetic Networks.
15) Final examination

Recommended or Required Reading

1- - Grafarend, E. W. ve Sanso, F. (1985) Optimization And Design of Geodetic Networks, Springer-Verlag, Berlin, New York, Tokyo.
2- - Konak H. Yüzey Ağlarının Optimizasyonu, KTÜ FBE Doktora Tezi, Ders Notları, 1995, Trabzon
3- Grafarend, E., Heister, H., Kelm, R., Kropff ve H., Schaffrin, B. (1979) Optimierung Geodatischer Messoperationen, Band II, Sammlung Wichman Neue Folge, Herbert Wichmann Verlag, Karlsruhe, 1979.
4- - Schmitt, G. (1979) Zur Numerik Der Gevichtsoptimierung in Geodatischen Netzen, DGK Reihe C, 256 (1979), 1-40.
5- - Strang, G. ve Borre, K., (1997), Linear Algebra, Geodesy, and GPS, Wellesley-Cambridge Press, USA.

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Group Study
5) Self Study
6) Problem Solving

Assessment Methods and Criteria

Contribution of Presentation/Seminar to Course Grade	30%
Contribution of Final Examination to Course Grade	70%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required