Recently, Wind Turbines (WTs) and Electric Vehicles (EVs) have been integrated into the demand side of many countries. WTs and EVs have uncertainties in electrical energy generation and consumption, respectively. Additionally, Thermal Units (TUs) suffer from random failures. As always, secure power system operation is the main goal of an independent system operator, therefore, these uncertainties should be considered. This paper proposes a two-stage reliability-based model for the economic dispatch of TUs and WTs in the presence of a demand-side response program. At the first stage, the well-being analysis is performed to determine the power generation and spinning reserve of the TUs regarding the timely power generation of WTs. At the second stage, the adoption of the responsive load consumption with the various conditions of the generation system in the power pool market is established using the cost of expected energy not served criterion. This optimization problem is solved at two stages using the genetic algorithm. To validate the proposed model, numerical studies have been applied to the generation part of an IEEE test power system including eleven TUs, one WT, and one thousand EVs.