Multiobjective Optimization

Joseph L. Awange (), Béla Paláncz (), Robert H. Lewis () and Lajos Völgyesi ()
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Joseph L. Awange: Curtin University, Department of Spatial Sciences, School of Earth and Planetary Sciences
Béla Paláncz: Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering
Robert H. Lewis: Fordham University
Lajos Völgyesi: Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering

Chapter 9 in Mathematical Geosciences, 2023, pp 319-352 from Springer

Abstract: Abstract Concepts and definitions concerning multiobjective optimization, i.e. Pareto front and Pareto set, are introduced. We consider solution methods like Pareto filter. Techniques of weighted objective are discussed and illustrated. Genetic algorithm filtering dominated solutions are also discussed. As geodetic applications, we consider the solution of nonlinear Gauss-Helmert model employing parallel computation, and different regression models like OLS, TLS and EIV.

Date: 2023
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DOI: 10.1007/978-3-030-92495-9_9

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