Equation Chapter 1 Section 1

In this chapter, we perform six sets of experiments to evaluate the effectiveness of the APCDM and its submodels and their respective sensitivities to various parameters. First, we examine the performance of our stochastic approach towards generating aircraft trajectory realizations and conducting the overall conflict analysis. In addition to testing several probabilistic trajectory displacement distributions, we establish a set of baseline threshold probabilities used to define whether a significant conflict risk exists between any pair of flight plans. The second set of experiments verify the effectiveness of the C3 and C4 conflict constraint formulations, as defined in Chapter 4. We show that the C4 formulation is more effective, in terms of computational effort, than the C3 formulation. Following this analysis, three other sets of experiments are dedicated to testing the APCDM solution sensitivity to the CDM-related parameters that were defined in Chapter 5, specifically, , , and max D max e E 0 μ . Finally, we perform a sensitivity analysis for the three conflict threshold probabilities by varying them from their respective baseline values. We report the respective impacts on the optimal solution generated by the APCDM in terms of the objective function value, flight cancellation rate, airline-optimized surrogate utilization rate, as well as the levels of ω -mean collaboration efficiency and collaboration equity achieved.