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Multi-project scheduling problem with human resources based on dynamic programming and staff time coefficient

机译：基于动态规划和员工时间系数的人力资源多项目调度问题

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摘要

The effect of personnel qualified degree to tasks has an important role for solving multi-project human resource constrained scheduling problem. This paper conducts research on multi-mode multi-project human resource constrained scheduling problem based on dynamic programming method. First, this paper put forward the concept and estimated formula of the staff time coefficient from the perspective of how to match staff and task based on the improved cube model and establish the mixed integer programming model. There are some constrains which should be considered in the model, such as the task workload that should be completed, limited supplies, and others. And the target of the model is completing the project in the shortest period and with the lowest total cost under all of these constrained. Then use the enumeration method to give the problem feasible solution that satisfied the constraints and find the optimal solution based on the dynamic programming method. Finally demonstrate the feasibility and effectiveness of the model and algorithm using the example analysis method, the results show that this method can effectively shorten the total duration of the multi-project Compared to the initial schedule, and is helpful for decision-makers to solve the multi-mode human resource scheduling problem in enterprise.
机译：人员合格程度对任务的影响对于解决多项目人力资源受限的调度问题具有重要作用。本文基于动态规划方法对多模式多项目人力资源约束调度问题进行了研究。首先，从改进的多维数据集模型出发，从人员与任务的匹配角度出发，提出了人员时间系数的概念和估计公式，建立了混合整数规划模型。模型中应考虑一些约束，例如应完成的任务工作量，有限的供应等。在所有这些约束下，模型的目标是在最短的时间内完成项目，并以最低的总成本完成项目。然后使用枚举方法给出满足约束条件的可行解，并根据动态规划方法找到最优解。最后通过实例分析的方法论证了该模型和算法的可行性和有效性，结果表明该方法可以有效地缩短多项目的总工期，与初始进度相比，有助于决策者解决问题。企业中的多模式人力资源调度问题。

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