2016 2 nd International Conference on Social, Education and Management Engineering (SEME 2016) ISBN: 978-1-60595-336-6 Demand Model for Captain Training Quantity of Foreign Aircraft Carrier Formation Jian-jun ZHANG 1,2,* and De-xiang ZHANG 1 1Higher Education Institute of Dalian University of Technology, 116024, China 2Dalian Naval Academy, Dalian, 116018, China *Corresponding author Keywords: Requirement model, Captain, Training quantity, Aircraft Carrier. Abstract. Factors affecting the aircraft carrier captain training quantity are analyzed, then, methods establishing requirement mode for captain training quantity of aircraft carrier formation are discussed using Markov Models. It provides guidance and references for military education resources optimization and human resources optimization. Introduction Aircraft carrier formation is a large combat arms taking aircraft carrier as the core and composed of many marshalling, and it is the dominant force of the US navy to Carrie out diversified missions. As to the aircraft carrier captain team construction, the integration of qualitative and quantitative methods is used to forecast the captain quantity demand of aircraft carrier fleet in future, and to determine the scientific and effective prediction model. And this will provide basis scientific to training and selecting of captain, meanwhile, it can keep off questions of unreasonable talent resource allocation. Principle Basis that Aircraft Carrier Captain Training Demand Analysis Relies on Numbers of Aircraft Carrier Fleet Captain Ship quantity of aircraft carrier fleet is the basic of captain number. Generally speaking, typical foreign aircraft carrier fleet is composed of one aircraft carrier, four destroy and one ocean comprehensive supply ship, and there is a captain and three XO (short for “Executive officer”) in an aircraft carrier, there is a captain and two XO in each destroyer-frigate and each ocean comprehensive supply ship. In this paper, basic idea is carried according to the principle duty required, and the example of captain as attached ship is taken. If the aircraft carrier size is bigger, then the storage quantity of captains is accordingly bigger. Meanwhile, there is bigger room of post adjustment among captains of attached ship. Instead, If the aircraft carrier size is smaller, the storage quantity of captains is accordingly smaller, there is smaller room of post adjustment among captains of attached ship, then allocation from other surface vessels is needed. Growth Line of Aircraft Carrier Captain In the training of foreign aircraft carrier captain, there are two types of aircraft carrier captain, one type is captain of aircraft carrier, and the other is captain of attachment ships. The captains of aircraft carrier are selected from the captains of other surface vessels and commander of air wing. The captains of attachment ships are selected from captains of destroyer and large depot ship [1] . There are differences among different captains. Take the example of captains selected from surface vessel, as is described in figure one, the growth line is illustrated. In general, the aircraft carrier commanding officer is Captain, and the XO, destroyer captain and depot ship captain are Commander, and department commander of aircraft carrier, destroyer executive commander, depot ship executive commander, frigate executive captain is Lieutenant Commander, squadron leader of aircraft carrier, department leader of destroyer, department leader of depot ship, executive commander of frigate are Lieutenant. Captain of aircraft carrier is usually promoted from executive commander, which is usually promoted from destroyer captain or depot ship captain or department leader of aircraft carrier [2] . And leaders of aircraft carrier are usually promoted from executive commander of destroyer or depot ship. By that analogy, the growth line is described as Figure one. We can conclude that if a lieutenant want to be a captain of an aircraft carrier, he would need three training stage, and in each stage, there are several growth ways, that is to say, there are several channels in each level of aircraft carrier captain’s growth, then, from the view of talent training, each promotion shall be carried after training in appropriate academies or schools [3] , so, quantity of personal training plan should be computed to the largest possession according to the work required. Captain of Captain aircraft carrier XO of aircraft carrier Commander Captain of Captain of depot ship Destroyer Lieutemant Department of XO of depot ship XO of Destroyer Captain of Frigate commander aircraft carrier Department leader Squadron leader Department leader Lieutenant XO of Frigate of depot ship of aircraft carrier of Destroyer promotion Allocation Figure 1. Growth map of aircraft carrier captain. Establishment of Quantity Demand Model for Aircraft Carrier Captain Training Aircraft carrier captain training demand analysis is a typical number of human resources planning problems. Human resource planning is activities, in which, the enterprise or other organizations make policies and measures systematically after making supply and demand projections for human resources, in order to achieve development goals and satisfy the demands of their human resources [4][5] . Scientific human resources supply and demand forecast is the basis of human resource planning, which contains the forecast for demand of the structure and quantity of supply and demand, the forecast for changes of different positions to the requirement of human resources, and forecast for the investment of human resources and wage costs. And thus, avoid excess demand and waste, saving the cost of human resources [4] . Demand Analysis of Numbers of Aircraft Carrier Fleet Captain Training Take “Kuznetsov” aircraft carrier as example, numbers of executive commander depends on three factors, that is position number, service years of captain and service years of XO. If the number of XO’s service years is larger than the captain’s, that is, service time of Commander is longer than that of captain, then the number of XO training is equals to the number of position of XO. If he number of XO’s service years is smaller than the captain’s, in this case, when the XO’s serve time reaches the service time, while the captain is still in service, then, in the rest time of captain service, the XO’s position should be changed by other person, so, in that case, the training quantity is more complicated. Supposed that, the captain’s tenure is 4years, and the XO’s tenure is 3 years [5] , then the XO’s service can differentiate to seven circumstances, as in Figure 2. 1 year 2 years 3 years 4 years HJ HF1 HF4 C1 HF2 HF5 HF3 HF6 HF1 HF4 C2 HF2 HF5 HF3 HF6 HF1 HF4 HF5 C3 HF2 HF3 HF6 HF1 HF4 C4 HF2 HF5 HF3 HF6 HF1 HF4 C5 HF2 HF5 HF3 HF6 HF1 HF4 C6 HF2 HF5 HF3 HF6 HF1 HF4 C7 HF2 HF5 HF3 HF6 HJ-Captain HF -XO Figure 2. Growth map of aircraft carrier captain. From the above figure, we can conclude that in the four-year service of a captain, at least six XO must be allocated, according to the ship number of the fleet and the captain growth line figured in Figure2, there are only four XO in the fleet, the other two XO needed should be allocated from other naval vessels troops. Quantity Demand Model of Aircraft Carrier Captain Training Forecast model for aircraft carrier captain needed: the captain training includes promotion within the aircraft carrier fleet and conducted outside. Here, the Markov models are used for reference, and its basic principle relies on the regular promotions and allocations among layers of leadership positions. Based on the Markov models, requirement model for captain training quantity of foreign aircraft carrier formation is established as follows: ； First, suppose there are N position in the fleet, factor reflecting positions is k , k = ,2,1 LN at the moment t , the number of the position is mk (t) , thus, when t = 0 , the number of people is initial value in the initial time. According to Markov models, in the year t +1, the number of each position can be expressed as: N mk (t + )1 = ∑ m j (t)Pjk + rk (t () k, j = 2,1 LN;t = )2,1 (1) i=1 In the above formula, mk (t + )1 is the number of people according to the moment of t +1and the position of k, Pjk is transfer rate between j position and k position. If j = k , it means the rate continued in the same position, r k is the number of people conducted outside in the moment. In the model, p jk means transfer rate between j position and k position, there are three layers of implications, one is promotion, such as XO promotes to captain, the second is allocation, such as destroyer captain allocates to aircraft carrier XO, the third is staying in the same position, that is j = k . Further, considering service time of a position, suppose that, if only those who serve for the fixed service time can be promoted, if they can’t be promoted, then, they should leave the position. if the fixed service time is yi ,(i = 4,3,2,1 1 means captain, 2 means commander, 3 means Lieutenant Commander, 4 means lieutenant), then there are 1yi of the officer will achieve the fixed service time, maybe leave, maybe promoted after position training. The rest of the officers maybe still serve at the same position, maybe allocated to other position with the same rank. In conclusion, the transfer rate Pjk among N potions can be figured up. Furthermore, dynamic data changing over time of the people number serving on every position in the fleet. So, the quantity demand model of aircraft carrier captain training is constructed as follows: N U = m (t)P + r (t) (t = ,2,1 ) (2) ∑ j jk * k* L j=1 j≠k K * is the position which need captain-training in the fleet, take the Figure2 for example, it includes sever positions such as aircraft carrier captain, aircraft carrier XO, destroyer captain, depot ship captain, destroyer XO, depot ship XO and frigate captain.