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The Demand Response Program (DRP) has recently attracted much attention from Independent System Operators (ISO) in managing end-use customers’ electricity consumption behavior. In this paper, we propose a model that considers the uncertainty in customers’ responses to time-varying prices. We develop a two-stage robust optimization model that maximizes the social welfare under unit commitment constraints. We use the Bender’s Decomposition method to handle the two-stage robust optimization problem. Finally, we test the performance of the proposed approach through extensive case studies, and verify that the power system obtained by the robust optimization approach is more reliable.