In social life,confrontation with asymmetry of ability often occurs.In order to ensure the achievement of the goal,one party often uses a stronger individual to perform complex confrontation tasks,while the other individual cannot win the confrontation due to weaker ability,but the weaker party may have an advantage in quantities.This kind of phenomenon is more common in nature and human society.Some are caused by the natural living environment,and some are caused by humanity to ensure the success of the mission.In a more specific target offensive and defensive problem,the attacker adopts a certain strategy to attack the target,and the defender adopts a defensive strategy to protect the security of the target.When the attacker’s ability is stronger than the defender,but there are more defenders than the attacker,a suitable defense strategy can enable the defender to balance the differences in the capabilities of the opposing parties with the advantage of quantity,so as to achieve the goal of protecting the goal.Conflict and confrontation are generally completed in a very short time.This requires the defender to make a strategy suitable for the current situation in a short time to ensure that the decision-making process is rapid,accurate and reliable.This paper uses the idea of combining number and shape to analyze the defense cooperation strategy problem of multiple defense targets in two-dimensional plane and threedimensional space.Aiming at the difficulty of solving the non-linear and complex problems of multiple defense targets,the problem is solved.The attack and defense process is discretized and combined with geometric methods to obtain the motion traj ectory of all parties.In addition,in view of the complex decision-making caused by the offense and defense of multiple defenders,the decision tree classification method is used to classify and decide the offensive and defensive strategies of the offensive and defensive problems of multiple defenders.The main research contents are as follow:1.In the two-dimensional plane,by targeting the Apollonius circle of each defender as the target,the attacker cannot directly pass through the gap between the two defenders and can only be forced to adopt a detour strategy,establishing a distance-based threat the weight function.The simulation analysis of the motion trajectory under this strategy is carried out.From the simulation results,it is found that the proposed cooperation strategy can significantly increase the time tf for the attacker to hit the target.Taking advantage of the number of defenders,it is proposed to assign tasks to the defenders so that a certain defender can directly meet the target,and the other defenders implement a strategy of intercepting the attacker.Comparing the results of the simulation trajectory,it is concluded that the use of task allocation can also enable the defender to successfully protect the target;2.Aiming at the target offensive and defensive problems of multiple defenders,firstly,the candidate test attributes are divided according to the initial state,and the decision tree classification method is used to classify the strategies of each party.The decision tree classification model for the offensive and defensive problems of multi-defender targets is obtained through data set training,so that complex multi-defender target offensive and defensive problems can be quickly made through the decision tree classification model.In order to illustrate the classification effect of the decision tree model on the data outside the sample set,the decision tree classification model is used to classify random locations within a certain range.From the classification simulation results obtained,it can be determined that the decision tree classification model has good classification results for the offensive and defensive strategies of multiple defenders’targets;3.Due to the particularity of the Apollonius ball in the three-dimensional space,the planar multi-defense target offensive and defensive problem is transformed into the threedimensional space,and it is proposed that the defending party’s Apollonius ball is directed to the center of the Apollonius ball in the path that the attacker may pass at each moment.The defensive strategy was approached at the nearest point and simulated.The simulation results show that the proposed cooperation strategy can have a significant impact on the attacker’s offensive strategy and significantly increase the time it takes for the attacker to strike the target. |