For ensuring the production quality and operation stability of chemical batch reaction systems under uncertainty, an operation feasibility analysis framework with production quality and flexibility consideration is proposed. The whole suitable range and the optimization operation point of the manipulated variable in the reaction systems can be found by using the proposed framework. In the proposed strategy/framework, the Nelder-Mead method is combined with the golden section method to solve the operation feasibility analysis problems. A concept of the Operation Feasibility Index problem (OFI) is also introduced to find the exact feasible operation range of the manipulated variable for batch reaction systems under uncertainty. The proposed strategy is investigated by two typical batch reaction systems. All the simulation results demonstrate that the proposed approach may provide an effective tool for the operation feasibility analysis of batch reaction systems under uncertainty.