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A simulation-based resource optimization and time reduction model using design structure matrix

机译:基于仿真的资源优化和时间约简模型的设计结构矩阵

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摘要

Project scheduling is an important research and application area in engineering management. Recent research in this area addresses resource constraints as well as stochastic durations. This thesis presents a simulation-based optimization model for solving resource-constrained product development project scheduling problems. The model uses design structure matrix (DSM) to represent the information exchange among various tasks of a project. Instead of a simple binary precedence relationship, DSM is able to quantify the extent of interactions as well. In particular, these interactions are characterized by rework probabilities, rework impacts and learning. As a result, modeling based on DSM allows iterations to take place. This stochastic characteristic is not well addressed in earlier literatures of project scheduling problems. Adding resource factors to DSM simulation is a relatively new topic. We not only model the constraints posed by resource requirements, but also explore the effect of allocating different amount of resources on iterations. Genetic algorithm (GA) is chosen to optimize the model over a weighted sum of a set of heuristics. GA is known for its robustness in solving many types of problems. While the normal branch-and-bound method depends on problem specific information to generate tight bounds, GA requires virtually no information of the search space. Therefore GA makes this simulation- optimization model more general. Results are shown for several fictitious examples, each having some uniqueness in their DSM structure. Managerial insights are derived from the comparison of the GA solutions to these examples with other known solutions.
机译:项目进度计划是工程管理中重要的研究和应用领域。该领域的最新研究解决了资源限制以及随机持续时间。本文提出了一种基于仿真的优化模型,用于解决资源受限的产品开发项目的调度问题。该模型使用设计结构矩阵(DSM)表示项目各个任务之间的信息交换。 DSM不仅可以量化简单的二进制优先级关系,还可以量化相互作用的程度。这些交互尤其以返工概率,返工影响和学习为特征。结果,基于DSM的建模允许进行迭代。在项目调度问题的早期文献中,这种随机特性不能很好地解决。在DSM模拟中增加资源因素是一个相对较新的话题。我们不仅对资源需求带来的约束进行建模,而且还探讨了在迭代中分配不同数量的资源的影响。选择遗传算法(GA)在一组启发式算法的加权总和上优化模型。 GA以解决多种类型问题的鲁棒性而闻名。虽然常规的分支定界方法取决于特定于问题的信息来生成严格的界限,但GA实际上不需要搜索空间的信息。因此,GA使这种仿真优化模型更加通用。显示了几个虚拟示例的结果,每个示例在其DSM结构中都具有一些唯一性。通过将GA解决方案与这些示例与其他已知解决方案进行比较,可以得出管理方面的见解。

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