## 6 Conclusions  
The purpose of this paper was to get a real-time disruption recovery solution to deal with the dynamic scheduling problem for carrier aircraft in the dynamic and complex flight deck environment. The support operation for carrier aircraft is considered as MRCMPSP. An integer programming model was constructed by considering the independent operational time and resource constraint of each \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{\begin{tabular}{c} **Disruption** \\ **Instance** \\ \end{tabular} } & \multirow{2}{*}{\(\mathbf{n}\)} & \multicolumn{2}{c}{**RH Scheduling**} & \multicolumn{2}{c}{**Reactive Rescheduling**} \\ \cline{3-8}  & & \(\mathbf{M}\) **(min)** & \(\mathbf{TT}\) **(s)** & \(\delta\) & \(\mathbf{M}\) **(min)** & \(\mathbf{TT}\) **(s)** & \(\delta\) \\ \hline \multirow{3}{*}{\begin{tabular}{c} A single \\ disruption \\ \end{tabular} } & 5 & 48 & 37.33 & 79 & 43 & 46.81 & 525 \\  & 9 & 55 & 42.16 & 229 & 55 & 73.10 & 1057 \\  & 13 & 68 & 77.07 & 504 & 68 & 127.28 & 2419 \\ \hline \multirow{3}{*}{\
\begin{tabular}{c} Two \\ disruptions \\ \end{tabular} } & 5 & 48 & 20.19 & 34 & 45 & 40.44 & 566 \\  & 9 & 56 & 42.06 & 221 & 56 & 70.825 & 1186 \\  & 13 & 69 & 79.53 & 512 & 68 & 128.67 & 2405 \\ \hline \multirow{3}{*}{
\begin{tabular}{c} A series of \\ disruptions \\ \end{tabular} } & 5 & 51 & 19.28 & 42 & 48 & 32.84 & 526 \\  & 9 & 60 & 45.17 & 256 & 60 & 71.52 & 1001 \\ \cline{1-1}  & 13 & 70 & 30.09 & 310 & 71 & 129.91 & 2402 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Comparison results of different scheduling strategies. Figure 11: Gantt chart of optimal support personnel allocation by event-driven RH scheduling strategy. activity. A periodic and event-driven RH scheduling strategy combined with multiple heuristic algorithms (GA, DE, Memetic, DPGA) was presented to solve the MRCMPSP. The approach developed in this paper can enable better decisions for real-time disruption recovery scheduling. The RH scheduling strategy inspired by RH predictive control technology for a continuous manufacture system was presented to adapt the dynamic flight deck environment. The appropriate size of the RH window could balance the rolling times and computational time. The RH dynamic scheduling method, which was better than the reactive rescheduling, not only reduced the problem size, it could also effectively adjust the baseline scheduling in a reasonable computational time and avoid the unnecessary scheduling with effective resource allocation. A DPGA algorithm was proposed. The activity list encoding method was set in the chromosome with a two-dimensional matrix. A new adaptive crossover and mutation strategy based on the subtopology structure was designed to improve the global search ability. A double schedule for the leftward and rightward populations was integrated with alternating iterations to improve the convergence speed and obtain a more efficient solution in the search space. The computational results have shown that our approach was effective in solving the scheduling problem. The method in this paper can also be extended to other RCPSP such as aircraft, ship, and job shops. In the future, we can make an important extension regarding more developed dynamic scheduling methods for large projects and multimodal research. Studies may further consider more multi-objective optimization methods when different disruptions occur within carrier aircraft scheduling problems. [PERSON] contributed significantly to establish an integer programming mathematical model and design a periodic and event-driven rolling horizon scheduling strategy for the carrier aircraft dynamic scheduling. [PERSON] contributed to determine the topic of this paper and analyze the results of the experiments; [PERSON] contributed to propose the solution for the carrier aircraft scheduling problems and design the dual population genetic algorithm. [PERSON] contributed to collect the data and improve the writing of paper.