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Predicting Operator Capacity for Supervisory Control of Multiple UAVs  33
                               12                                                Fan-out (1)
                             Operator Capacity  8                          Revised Fan-out (3)
                               10

                                6
                                4
                                2
                                0
                                    1     2    3    4     5    6    7     8    9    10   11
                                                     Possible Number of UAVs
                                     Fig. 14. Predictions Using Cost-Based Simulation Inputs


                           using the revised fan-out. Interestingly this number is very close to what was
                           experimentally observed in the previously described experiment.


                           4 Meta-Analysis of the Experimental and Modeling
                              Prediction methods

                           Two methods for determining maximum operator capacity for supervisory
                           control of multiple UAVs have been presented, both based on operator inter-
                           actions and wait times for mission tasks, as well as neglect times during which
                           one or more vehicles operate autonomously. The strengths and weaknesses of
                           each method will now be discussed, as well as how these methods could be
                           used synergistically.
                              In the first method, the original fan-out equation that related operator
                           interaction and vehicle neglect times (1) was revised to include operator wait
                           times (3). An experiment was conducted to determine if the revised fan-out
                           predictions more closely matched actual human-in-the-loop control scenarios.
                           The results showed that the revised fan-out model produced more conservative
                           estimates when modified to include wait times caused by human interactions,
                           which include interaction wait time, wait time in the queue, and wait time
                           due to the loss of situation awareness.
                              While this temporal-based method for computing fan-out gives more con-
                           servative general estimates, it lacks the cost-benefit analysis trade space rep-
                           resentation that can be found through optimization methods that provide for
                           sensitivity analysis. For example, in the experiment, it was estimated that
                           operators could control 7–16 UAVs in a low workload scenario, but only 3–7
                           vehicles in high workload settings. The ranges resulted from increasing levels
                           of automation as an experimental independent variable. Because these pre-
                           dictions were based on experimental data (which were discrete across four
                           different levels of automation), there can be no post-hoc sensitivity analysis,
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