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In the analysis of geotechnical engineeri ng problems, limit equilibrium methods are often engaged to analyze the forces and model the problem. On the other hand, the rapid development of computing technology has e quipped a large number of methods to be employed in engineering problems, as well as geotechnical issues. These enhancement consequences the popularity of analytical limit equilibrium methods based on computer aid process. Finding the most critical slip surface is a ch allenging global optimization prob...