In this paper, a new optimized design methodology is proposed. It integrates the discrete element method (DEM) and real-coded genetic algorithm for the design of landfill lining system subjected to equipment loadings. In applying the design method to a tapered lining system, the effect of the taperness, which means the change of shape for cover soil, is examined. The optimization problem to maximize the capacity of a waste-containment facility is solved using real coded genetic algorithm. Numerical example analysis is carried out for a typical landfill slope structure.