基于PSO的系统可变约束优化求解与仿真

Solution and simulation of system variable constraint optimization based on PSO algorithm

针对化工过程存在可变、非严格刚性约束优化的问题,提出了一种基于命题转化和粒子群算法的系统可变约束优化求解方法.该方法首先将非刚性可变约束进行转化和处理,将其作为一个优化指标,然后将这个优化指标作为一个罚乘子与原优化目标组成一个新的综合优化目标.由此,原单目标优化命题就转变为多目标优化命题,并且利用PSO多目标优化算法对该多目标优化命题进行求解.同时,对求得的解进行优化,对可变约束范围进行理论分析,给出了在约束不定情况下合理可行的优化求解方案并进行了验证.结果表明,该方法应用于实际生产中是可行与有效的.

In order to solve the problem of variable and non-rigid constraint optimization in chemical process,a variable constraint optimization method based on propositional transformation and particle swarm optimization( PSO) is proposed and the simulation is conducted. The method firstly treated non-rigid variable constraint and transformed it as an optimization index,then the optimization index as a penalty multiplier and the original optimization objective formed a new integrated optimization. Thus,the single objective optimization is turned into a multi-objective optimization proposition,and the PSO multi objective optimization algorithm is used to solve the multi-objective optimization problems. At the same time,the solution is optimized and the variable constraint range is theoretically analyzed. A reasonable and feasible optimization solution under the constraint is given and verified. The result shows that this method is feasible and effective in actual production process.