Using the Firefly algorithm for geoid determination

Abstract

The geoid is a mathematically complex surface. For years’ geoid determination has been the topic of geomatics engineering. There are many methods for Geoid Determination, such as Polynomial Interpolation, kriging interpolation, and The Least Square Collocation etc. Outlier measurement have a corruptive effect on parameter estimation. There are two methods that are frequently used for the determination of outlier measurement, in geomatics engineering. These are The Least Square Method and The Least Absolute Value Method. These methods have advantages and disadvantages over each other. Also nowadays, very complex problems can be solved with methods such as the rapidly developing Artificial Intelligence and Machine Learning Technologies with Metaheuristics Algorithm for obtaining a close to optimum solution. There are many metaheuristic algorithms developed and used nowadays. One of them is the Firefly Algorithm. In this study, the usability of the firefly algorithm was tested to determine the outlier measurement in the geoid determination process.