基于ALNS-STC-VIKOR框架的项目调度与人员配置鲁棒优化

    Robust Optimization of Project Scheduling and Personnel Staffing Problem Based on ALNS-STC-VIKOR Framework

    • 摘要: 为解决资源受限与不确定环境下的项目调度与人员配置的集成优化问题,提出一种融合自适应大邻域搜索(ALNS)算法、起始时间关键度(STC)与VIKOR多准则决策方法的三阶段鲁棒优化框架,旨在项目工期、人员成本与鲁棒性之间寻求综合性权衡。该框架分为3阶段:首先,采用ALNS对活动执行模式、活动优先级及人员配置方案进行联合优化,生成一组兼顾工期与人员成本的备选方案集;其次,创新性地将STC方法从传统工期不确定性拓展至活动工作量不确定性场景,通过主动配置时间缓冲来增强方案的鲁棒性并量化其鲁棒成本;最后,基于VIKOR方法,以项目工期、人员成本及鲁棒性成本为评价准则,对鲁棒方案集进行综合排序,识别出最优妥协解。算例仿真与敏感性分析表明,所提框架能有效应对不确定性扰动,相较于基准方法,其调度方案在鲁棒性与综合性能上均表现出显著优势。研究证实,该三阶段鲁棒优化框架为复杂项目环境下的调度与人员配置决策提供了一种高效、可靠且具实践价值的系统性方法,能够成功识别在多目标间达成最佳权衡的决策方案。

       

      Abstract: To address the integrated optimization of project scheduling and personnel staffing problem under resource constraints and uncertainty, a three-stage robust optimization framework integrating adaptive large neighborhood search (ALNS) algorithm, starting time criticality (STC) and the VIKOR method is proposed. The framework aims to achieve a systematic trade-off among project duration, personnel cost and robustness. The process is divided into three stages: First, an ALNS algorithm is employed to jointly optimize activity execution modes, activities priorities and personnel allocation, generating a set of candidate solutions that balance project duration and cost. Second, the framework innovatively extends the STC strategy from its traditional application in duration uncertainty to scenarios of work content uncertainty, enhancing solution robustness through the proactive allocation of time buffers and quantifying the associated robustness cost. Finally, the VIKOR method is applied to comprehensively rank the robust solutions based on criteria of project duration, personnel cost and robustness cost, thereby identifying the optimal compromise solution. Numerical simulations and sensitive analyses demonstrate that the proposed framework effectively mitigates the impact of disruptions, exhibiting significant advantages in both robustness and overall performance compared to benchmark methods. It confirms that the three-stage robust optimization framework provides an efficient, reliable and practical systematic approach for decision-making in complex project environments, capable of identifying solutions that achieve an optimal trade-off among conflicting objectives.

       

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