## 5 Experimental Results and Analysis
### Problem Classification and Initial Data Set  
During the daily operations, an aircraft has a fixed order of tasks. We take the experimental case study of the first wave attack of the typical mission for the carrier aircraft operation scheduling on the flight deck with a series of supporting activities. Five types of carrier aircraft, including the warning aircraft, antisubmarine aircraft, attack aircraft, electronic warfare aircraft, and refueling aircraft, are researched to be supported before takeoff in the flight deck. In order to describe the problems from the current carrier aircraft support operations, and define the scope of the study as well as clearly define the scheduling problem, the support operations were considered as MRCMPSP, and some assumptions were made in this section as follows: (i) All of the support operational crews and resource stations can be available at the beginning of all of the activities; (ii) The non-renewable resources (e.g., oil, gas, weapon, etc.) supplied by the resource station are sustainable supplies; (iii) The support activities of each carrier aircraft cannot be changed in the static scheduling; (iv) When disruptions occur in the operational process, the support time of the disruption activities becomes longer for the maintained process or operator; (v) The setup time of each activity and transferring time between adjacent activities are negligible.  
Three kinds of resource constraint (space constraint, operational crews constraint, resource stations constraint) exist in the project. For the space constraint, we only consider the cockpit space constraints \(Ks1\) in the four kinds of cockpit inspection activities in this experiment. There are four kinds of operational crews, including the mechanical major (\(Kp_{1}\)), avionics major (\(Kp_{2}\)), special equipment major (\(Kp_{3}\)), and ordnance major (\(Kp_{4}\)), for the maintenance and service support operations of the carrier aircraft. The numbers of each professional operational crew are respectively \(1\,Kp_{1}\,1\,=\,8,\,1\,Kp_{2}\,1\,=\,6\), \(1\,Kp_{3}\,1\,=\,8\), and \(1\,Kp_{4}\,1\,=\,6\). Five kinds of resource stations are laid out on the deck, including the power station (\(Kr_{1}\)), oiling station (\(Kr_{2}\)), hydraulic station (\(Kr_{3}\)), nitrogen station (\(Kr_{4}\)), and oxygen station (\(Kr_{5}\)) for the service support operations of non-renewable resources. The numbers of each resource station in the experiment are respectively \(|\,Kr_{1}\,|=8,\,|\,Kr_{2}\,|=6,\,|\,Kr_{3}\,|=5,\,|\,Kr_{4}\,|=5\), and \(|\,Kr_{5}\,|=5\). The renewable resources (operational crews and resource stations) are allocated according to the support activities in the different projects; that is, any kind of operational crew that has no support scope constraint can support all of the carrier aircraft, but the different resource stations can only provide service support for some of carrier aircraft in the fixed parking position. Table 1 shows the station set of each kind of resource station that covers the waiting support carrier aircraft in the fixed parking position. The supplied non-renewable resources (power, oil, hydraulic, nitrogen, oxygen, etc.) have unlimited total usage, but the ability of the crew to simultaneously provide the support service is limited. _Kw_ represents the upper limit of non-renewable resources for the simultaneous support operation. _Kw_ is set [6; 5; 2; 4; 2].  
Four kinds of support operational crews and five types of resource stations make up the flexible and sustained carrier aircraft support activities in the flight deck. The support time (in minutes) of each activity in a single carrier aircraft are shown in the Table 2.  
\begin{table}
\begin{tabular}{c