基于内罚函数的装备系统可靠性分配研究

Application of Internal Penalty Function Method to Equipment System Reliability Allocation

装备系统可靠性分配的本质之一是有约束条件的非线性规划问题,从内罚函数角度出发,通过构造惩罚函数,将问题转化为无约束的优化问题;构造出基于装备系统复杂度和平均故障间隔时间的费用函数,将系统可靠度与费用关联起来,给出了在费用约束条件下的可靠性分配数学模型;在实例计算分析中,利用Matlab中的ode15s功能函数对分配模型进行计算,得到了不同惩罚因子下可靠性分配的最优解,计算结果具有较好的收敛性和稳定性,说明本分配方法具有良好的可行性。

The problem of equipment system reliability allocation is nonlinear constrained optimization.Through the penalty function method,the problem of the cost restriction is transformed to non-restraint optimization problem.The fitting function is presented by the complex index and MTBF（mean time between failures）of the equipment,the mathematical model of system reliability allocation is established based on the fitting function between the reliability and the cost of the unit.The numerical solution was given with the ode15 sfunction which fits the stiff function by the MATLAB software,the results show right convergence and stability when the penal factor was changing.This paper indicates that the internal penalty function method to system reliability allocation is feasibility.