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32     M.L. Cummings et al.
























                              Fig. 13. Operational Demands vs. Human Limitations in Mission Planning


                           model with wait times, especially beyond 5 UAVs. Interestingly, as in the case
                           with 5 targets, the minimum cost occurs at 2 UAVs for 10 targets. However,
                           in the case of 5 targets, only 2 UAVs were needed to meet the operational
                           requirements and the operator could meet this demand. However, with 10 tar-
                           gets, 2 UAVs became the minimum cost point because of operator limitations,
                           i.e., the wait times incurred by controlling more vehicles became unacceptably
                           high. Thus, at the inflection point in these curves, the left region is primarily
                           constrained by operational demands, but the right region is dominated by
                           human performance limitations, specifically wait times, as seen in Figure 13.
                              Another interesting trend across the predictions in Figures 12a-c is the
                           relatively flatness of the curves in the left region. For example, there is gen-
                           erally a plateau in performance such that dramatic increases are not seen
                           in cost until more than 5 UAVs are managed. In the case of 5 targets and
                           up to 5 UAVs under control, costs increased at a rate of 33% per additional
                           UAV. Beyond 5 UAVs, the mission increased at a rate of 74% per UAV, a
                           much sharper increase, which suggests that operator performance is relatively
                           robust up to 5 UAVs, at which point the operator is saturated and severely
                           limits overall mission success. These graphs demonstrate that the more com-
                           plex mission requirements added to the cognitive load of the operators, thus
                           workload had to be reduced by reducing the number of UAVs under control.
                              In terms of the fan-out and revised fan-out equations (1 & 3), using the
                           same neglect and interaction times as in the cost-based simulation model
                           (Table 2), as well as the wait times derived from the queuing theory model
                           (8), the predictions are seen in Figure 14. While the original fan-out estimated
                           a constant 11 vehicles, given the wait times that would build with increas-
                           ing numbers of UAVs under control, the optimal control point is 5 vehicles
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