装备对抗目标的随机灰色期望值分配模型

Equipment Target Assignment Model Based on Random Grey Expected Value

针对装备对抗目标分配问题中的随机、灰色双重不确定性,建立了装备对抗目标的随机灰色期望值分配模型。首先,给出了随机灰色变量的定义,研究了随机灰色变量的加(减)、乘、除、大小关系运算和期望值算法;其次,建立了装备对抗目标的多目标随机灰色期望值模型和标准随机灰色期望值目标规划模型;最后,给出了电子装备侦察地域的随机灰色期望值分配实例,并将其转化为一般灰色线性规划模型进行求解。结果表明:该模型可应对装备对抗目标分配问题中的随机灰色特征,在目标分配领域具有潜在的应用价值。

According to analysis about complex uncertainty of random grey feature for equipment target assignment,an equipment target assignment model based on random grey expected value is proposed.Firstly,the definition is given,and operational rules including addition,subtraction,multiplication,division,cooperation and expected value,of random grey variables is studied. Secondly,the equipment target model based on multi-objective random grey expected value and the standard objective programming model based on random grey expected value are set up. Finally,an example of assignment model based on random grey expected value for electronic equipment reconnaissance area is given and the model is transformed to general grey linear programming model which is easy to solve. The experimental results indicate that the proposed model can deal with random grey characteristic of equipment target assignment and has potential application value.