基于集对分析与NSGA-Ⅱ的工程项目多目标优化

Project Multi-objective Scheduling Optimization Based on Set Pair Analysis and NSGA-Ⅱ

工程项目进度、成本和质量三者是对立统一的,工程项目的多目标优化着重于求解三者的和谐统一。以工程项目施工过程中的进度、成本和质量水平阈值为约束条件,运用集对分析法为建筑工程多目标优化问题的处理构建了柔性的建模框架;利用NSGA-II算法求解多目标优化模型,得到多目标优化的Pareto最优解集;通过实际算例验证了该算法在解决工程项目多目标优化问题中的可行性和有效性。

The three main objectives of the project are schedule,cost,and quality,which are the unity of opposites. The optimization of the multi- objectives of the project focuses on seeking the harmony of the three of them. Constrained by the threshold level of the project schedule,cost and quality,a flexible modeling framework was constructed for the construction of multi-objective optimization problem by set pair analysis method. Then NSGA- II algorithm was used to solve the model of multi objective optimization in order to get multi- objective optimization of Pareto optimal solution set. Finally,a practical example was given to verify the feasibility and effectiveness of the algorithm in solving multi- objective optimization project problems.