Building Mathematical model for virtual wall design by using safety factor and reliability constraints

This Research comprises building mathematical model for virtual wall design by using two safety constraints : overturning safety factor and sliding safety factor, also reliability's constraints for each factor and using decomposition technique especially bilevel decomposition relaxation algorithm to obtain the optimal dimensions for the wall, A program has been achieved for designing a wall with the constraints mentioned above via programming relaxation algorithm steps by using Matlab and using optimization toolbox functions in order to find a solution for master and subproblems. Tthis program shows high efficiency and easiness in obtaining results.