Abstract. Prevailing Modeling and Simulation (M&S) techniques have struggled toprovide meaningful quantitative results in M&S of complex System of Systems (SoSs) in the face of an environment filled with complex interacting uncertainties. This paper reports on systems thinking applied to "how" M&S techniques should shift to allow a next generation of quantitative tools and techniques. The imperative is to provide quantitative performance results across the constituent interfaces in a modeled architecture. A five step statistical and parametric algorithm tool that addresses Uncertainty Quantification (UQ) is presented. [Improving the utility of UQ data evaluation] A quantitative approach to managing complex uncertainties across modeled interfaces using graph theory is proposed. A future vision for SoS Engineering (SoSE) that uses graph theory based modeling is suggested to improve the utility of tools such as UQ is suggested.
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