工期-成本-质量的模糊均衡优化及其Pareto解

Fuzzy Trade-off of Time-Cost-Quality in Construction Project and Pareto Solution

摘要:

针对实际工程项目中存在的不确定因素，通过对工期、成本、质量三个目标函数相互关系的模糊描述，以工序持续时间为决策变量，建立了基于三者的模糊均衡优化模型，为了求解该模型，在微粒群算法的基础上提出遗传免疫微粒群算法，通过测试函数的Matlab仿真验证了算法的有效性，并用于实际工程项目模糊均衡优化问题的计算，得到多组模糊的Pareto最优解，同时绘制相应的三维散点图，为决策者的选择提供准确和直观的依据。研究结果表明了工程项目工期-成本-质量的模糊均衡优化模型构建的合理性和遗传免疫微粒群算法在求解该模型方面的有效性。

Abstract:

A real construction project contains lots of uncertain factors. Based on the fuzzy description of the interrelation among the three goal functions of time, cost and quality, a fuzzy trade-off model is established by using activity duration time as decisive variable. In addition, the immune genetic particle swarm optimization (IGPSO) is proposed to solve the model in the base of particle swarm optimization. In order to test the effectiveness of IGPSO, we use the Matlab simulation to test different benchmark functions and apply it to solve the fuzzy trade-off problem of real construction projects. As a result, the different fuzzy Pareto optimum solutions and their relevant three-dimensional scatter diagram illustrate the model’s feasibility and the effectiveness of IGPSO ,which can be used by decision makers to make a reasonable decision.