This paper presents an extended value-impact methodology which aids decision makers in ranking various alternative actions for reducing the risk associated with nuclear power reactors. It extends the state-of-the-art value-impact methodology by using the Analytic Hierarchy Process (AHP), a formalized decision making tool for ranking alternatives based on judgment. The AHP reduces some of the limitations present in current value-impact work, such as the inability to include subjective factors in a structured approach, as well as controversial questions such as the importance of onsite versus offsite accident costs averted, uncertainty, and impact of public opinion. In the paper, the method is applied to include a value-impact study of the implementation of either a vented-containment system or an alternative decay heat removal system as a means for reducing risk at the Grand Gulf nuclear power plant. The results of this analysis show that the method provides considerable insight to the solution of topics of interest in the decision making area of nuclear power risk management.