| 引用本文: | 沙基昌.Lanchester方程与火力指数的内在联系.[J].国防科技大学学报,1990,12(3):8-14.[点击复制] |
| Sha Jichang.The Inner Relations Between Lanchester Equations and the Fire Indexes[J].Journal of National University of Defense Technology,1990,12(3):8-14[点击复制] |
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| Lanchester方程与火力指数的内在联系 |
| 沙基昌 |
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(系统工程与应用数学系)
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| 摘要: |
| 本文从Lanchester方程出发，利用正矩阵的特性，将矩阵特征向量与火力指数有机地联系起来。通过例子进一步说明火力指数是Lanchester方程中威力系数概念的推广；它不仅与武器本身有关，而且依赖于整个战斗的武器配系。当某些种类的武器被摧毁，战斗格局发生一定变化时，火力指数也会发生变化。火力指数还决定于火力分配原则。 |
| 关键词: 运筹分析，作战，模型，作战模拟，C3I理论，火力指数 |
| DOI： |
| 投稿日期：1989-05-15 |
| 基金项目: |
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| The Inner Relations Between Lanchester Equations and the Fire Indexes |
| Sha Jichang |
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(Department of Applied Mathematics and System Engineering)
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| Abstract: |
| This paper reveals the inner relationship between the characteristic vectors of Lanchester equations and fire indexes with the help of the property of positive matrixes. By way of examples the paper further shows that the fire indexes are the extension of the notion of power coefficients in Lanchester equations. It is pointed out that the fire indexes are not only related to the weapons，but also depend on the disposition of troops in a whole battle. When some kinds of weapons are destroyed the fire indexes will change with situation. The fire indexes also depend on the principles of weapon assignment. Thus the relationship between fire indexes and tactical principles is set up. |
| Keywords: operations analysis,military operation,model,military simulation,C3I theory,fire indexes |
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