“兰氏”平方律作战毁伤过程兵力损耗率系数战例求解理论

Solving Theory Base on Fight Course on Damaged-rate Coefficient in Lanchester-square-law

如何求得著名的“兰氏”平方律战斗动力学方程中双方兵力损耗率系数,这是作战模拟应用研究领域中一个久攻未克的难题。本文提出了以作战结果来逆向研究作战过程中双方兵力损耗率系数的思想。阐述了对于不变的作战双方在相同(相近)的作战环境与作战条件下相继进行的作战序列里,双方各自的兵力损耗率系数不变(波动不大)的公理,论证了揭示作战序列内部规律的两条定理。据此,建立了兵力损耗率系数的战例求解理论与方法。运用这一理论与方法,据以往发生的作战过程其数值特征可以求得未来相似或相同作战过程中双方兵力损耗率系数的具体取值,首次解决了作战模拟研究领域中兵力损耗率系数的具体取值这一难题。

It is still a difficult question up to the present how to solve damaged-rate coefficients of fighting sides in the famous Lanchester-square-law differential equations. In this paper, a new thought researching damaged-rate coefficient based fight results is presented. Two axioms, by which the damaged-rate coefficients do not change （or change little）for a sequence of fighting course under the same （or similar ）conditions and environments, are presented. Two theorems which open out the interior rules in the sequence of fighting course are also proved. Based on those, a new system of theory and method that solve damaged-rate coefficients of fight course are created. The system can be called the battle example theory of solving damaged-rate coefficients. By the system of theory and method, the values of damaged-rate coefficientsof fight course in the future can be solved by the characters of numerical value of fight course in the past if the fight course in the future is the same （for similar） as that in the past. The difficult problem in the field of operation simulation, values of damaged-rate coefficients of fight course, is solved by the theory in this paper for the first time.