• ISSN: 1674-7461
  • CN: 11-5823/TU
  • 主管:中国科学技术协会
  • 主办:中国图学学会
  • 承办:中国建筑科学研究院有限公司

基于PERT对工期概率预测研究

Research on Duration Probability Prediction Based on PERT

  • 摘要: 在复杂工程动态管理中,传统关键路径法(CPM)因静态时间假设与资源局限,难以应对新工艺高不确定性带来的工期风险。本文构建基于计划评审技术(PERT)的动态工期概率预测模型,通过三点估算法量化任务时间的不确定性,结合关键路径识别与蒙特卡洛模拟,形成风险自适应管理框架。以某地下工程为例,通过工序时间参数估算确定关键路径总工期期望值59天,解析法预测超期概率41.27%;结合Matlab 5万次蒙特卡洛模拟揭示非对称分布下工期期望值58天、超期概率28.9%,验证模型对极端风险的精准预测能力。研究表明,PERT结合蒙特卡洛模拟可显著降低工期预测误差,其动态路径漂移分析及风险贡献度排序为资源优化提供科学依据,为复杂工程风险控制提供理论和技术支撑。

     

    Abstract: In the dynamic management of complex engineering, the traditional critical path method (CPM) is difficult to deal with the construction period risk caused by the high uncertainty of the new process due to the static time assumption and resource limitation. In this paper, a dynamic duration probability prediction model based on PERT is constructed. The uncertainty of task time is quantified by three-point estimation method. Combined with critical path identification and Monte Carlo simulation, a risk adaptive management framework is formed. Taking an underground project as an example, the expected value of the total duration of the critical path is determined by estimating the process time parameters for 59 days, and the analytical method predicts an overdue probability of 41.27%. Combined with Matlab 50, 000 Monte Carlo simulations, the expected duration of 58 days and the probability of overdue 28.9% under asymmetric distribution are revealed, and the accurate prediction ability of the model to extreme risks is verified. The research shows that PERT combined with Monte Carlo simulation can significantly reduce the prediction error of construction period. Its dynamic path drift analysis and risk contribution ranking provide scientific basis for resource optimization and theoretical and technical support for risk control of complex projects.

     

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