问题B：红色VS蓝色
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在现代战争中，进攻方和防御方都需要引入有效的战争战略，以增加战争威胁和减少损失。只 有通过形成一个相对稳定和平衡的战争动态，才能尽快实现达成共识的最终目标。
鉴于上述战争问题，考虑以下简化的红色VS。蓝战问题：假设红蓝参与了战斗，如图1所示，双 方只能在相同颜色的位置进行初始排，每个节点都有自己的攻击难度。攻击越困难，图1中的圆 半径越大，就需要根据双方军事武器的实际数量和特点，为双方提供最优的作战策略。
双方主要作战单位为步兵，主要武器为机动隐蔽性轻型坦克、平衡火力机动性中型坦克、重型 装甲火力强大重型坦克、超远程打击能力和强大火力支援自行火炮、战略轰炸机 (不多防轰炸 ) 、高射炮 (各可设置10个防空点) 。红色坦克拥有125万名步兵、500架无人机、180辆重型 坦克、300辆中型坦克、420辆轻型坦克和7000门自行火炮。蓝色号拥有100万名步兵、300架无 人机、340辆重型坦克、570辆中型坦克、800辆轻型坦克和14000门自行火炮。红蓝武器的具体 参数见附件2。请通过适当的简化假设和数学建模方法来解决以下三个问题：
图1红色和蓝色的可分配节点
问题1：根据附件1、附件2的数据，考虑各节点的攻击难度、行进距离、武器距离和防空部署， 请确定步兵、坦克、 自行火炮、防空的指定位置和数量规模
双方的火炮，以及双方的最佳指挥阵地和几个备选阵地。
问题2：
根据问题1的优化结果，您需要建立红、蓝的医疗用品、军事用品、 日常用品分配和供应的优化 模型。同时，在充分考虑另一方潜在攻击策略的基础上，在建模过程中提供了非供应模式下所 需的工作人员和车辆总数等关键信息。最后，您需要以文本中的表格或图表的形式提供红色和 蓝色的最佳供应计划。
问题3：
结合前两个问题，在红色进攻和蓝防守防守的情况下，请提出红色进攻更好的进攻计划和蓝防 守更好的撤退计划。考虑到蓝色的撤退节点是[37,140,378]，在通信良好和通信中断的情况下 ，蓝色的整体撤退计划有什么不同？
2022_“
ShuWei Cup**”**
Problem B**：Red VS. Blue**
In modern war, both offensive and defensive sides need to introduce efficient war strategies to
increase war threats and reduce losses. Only by forming a relatively stable and balanced war
dynamics can the ultimate goal of reaching consensus be realized as soon as possible.
In view of the above war problems, consider the following simplification of the Red VS. Blue war
problem: assuming that the Red and the Blue are engaged in the battle as shown in Figure 1, the
two parties can only conduct the initial platoon in the position with the same color, and each node
has its own attack difficulty. The more difficult the attack is, the larger the circle radius in Figure 1,
you need to provide the optimal battle strategy for each party based on the actual number and
characteristics of the two parties' military weapons.
The main fighting units on both sides are infantry, and the main weapons are light tanks with
mobility and concealment, medium tanks with balanced firepower and mobility, heavy tanks with
heavy armor and powerful firepower, self-propelled artillery with ultra-long-range striking ability
and powerful fire support, strategic bombers (not too many units should be deployed to prevent
bombing) and anti-aircraft artillery (each side can set up 10 anti-aircraft points). The Red has 1.25
million infantry, 500 drones, 180 heavy tanks, 300 medium tanks, 420 light tanks and 7000
self-propelled guns. The Blue has 1 million infantry, 300 drones, 340 heavy tanks, 570 medium
tanks, 800 light tanks, and 14,000 self-propelled guns. See Attachment 2 for the specific
parameters of the Red and the Blue weapons. Please solve the following three problems through
appropriate simplified assumptions and mathematical modeling methods:
Figure 1 Assignable nodes for the Red and Blue
Question 1: Based on the data in Annex 1 and Annex 2, and considering the attack difficulty,
march distance, weapon range and air defense deployment of each node, please work out the
assigned positions and quantity scale of infantry, tanks, self-propelled artillery and air defenseartillery of both sides, as well as the optimal command positions and several alternative positions
of both sides.
Question 2:
Based on the optimization results of question 1, you need to build the optimization model of
medical supplies, military supplies and daily supplies distribution and supply for both the Red and
Blue. At the same time, on the basis of fully considering the potential attack strategy from the
other side, the key information such as the total number of workers and vehicles required in the
non-supply mode is provided during the modeling. Finally, you need to provide the optimal supply
plan of the Red and the Blue in the form of tables or graphs in the text.
Question 3:
In combination with the previous two questions and in the case of the Red attacking and the Blue
defending, please propose the Red’s better attack plan and the Blue's better retreat plan. Given that
the retreat node of the Blue is [37,140,378], what are the different overall retreat plans of the Blue
in the case of good communication and communication interruption?
