Since the existing scheduling solution can not deal with the uncertainties in household appliance operation time and renewable generation, we propose a solution based on real-time electricity pricing. The solution adopts linear programming model and tries to minimize the total monetary expense. Beside, the solution takes into account the photovoltaic systems, home battery and the sale of excess energy. To handle the uncertainties in household appliance operation time and ensure the users' satisfaction, a stochastic scheduling technique and Monte-Carlo simulation are used. Finally, the simulation results demonstrate the practical significance of our solution.