In this thesis, the Reliability Index Approach, RIA, and the Monte Carlo simulation were implemented as a reliability analysis tool for missile trajectory simulation. This analysis tool was developed using MATLABå¨ and deployed as a stand alone application on multiple operating system platforms. Testing was performed to verify the fidelity of the RIA solution and to compare computational time of analysis with a baseline Monte Carlo simulation. Although the RIA method proves to be efficient with respect to computational cost and time, the accuracy and consistency of the solution is compromised.