This paper describes a simulation-based methodology being developed to model post earthquake restoration processes as part of the MCEER research on the Los Angeles Department of Water and Power's (LADWP's) electric and water supply systems. Post-earthquake restoration models play an important role in estimating the economic impact of earthquake damage to lifeline systems. The focus of this study is on electric power system but in the future the proposed methodology will be extended to develop a multi-lifeline restoration model that can take into account the effects of infrastructure interdependencies on the restoration processes. This paper begins with a discussion of the available restoration modeling approaches, listing advantages and disadvantages of each. The new simulation-based methodology is described and key innovations that distinguish it from previous approaches explained. Then details of the preliminary model and plans for future work are discussed.