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Optimal scheduling of work-content-constrained projects

机译：受工作内容约束的项目的最佳计划

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摘要

The execution of a project requires resources that are generally scarce. Classical approaches to resource allocation assume that the usage of these resources by an individual project activity is constant during the execution of that activity; in practice, however, the project manager may vary resource usage over time within prescribed bounds. This variation gives rise to the project scheduling problem which consists in allocating the scarce resources to the project activities over time such that the project duration is minimized, the total number of resource units allocated equals the prescribed work content of each activity, and various work-content-related constraints are met. We formulate this problem for the first time as a mixed-integer linear program. Our computational results for a standard test set from the literature indicate that this model outperforms the state-of-the-art solution methods for this problem.
机译：项目的执行通常需要稀缺的资源。经典的资源分配方法假定单个项目活动对这些资源的使用在该活动的执行过程中是恒定的。但是，实际上，项目经理可能会在规定的范围内随时间改变资源使用情况。这种变化引起了项目调度问题，该问题包括随着时间的流逝将稀缺资源分配给项目活动，以使项目工期最小化，分配的资源单位总数等于每个活动的规定工作内容，并且各种工作-满足与内容相关的约束。我们首次将此问题公式化为混合整数线性程序。我们从文献中获得的标准测试集的计算结果表明，该模型优于该问题的最新解决方案。

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