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A compact reformulation of the two-stage robust resource-constrained project scheduling problem

机译:紧凑的两级鲁棒资源受限项目调度问题的重构

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This paper considers the resource-constrained project scheduling problem with uncertain activity durations. We assume that activity durations lie in a budgeted uncertainty set, and follow a robust two-stage approach, where a decision maker must resolve resource conflicts subject to the problem uncertainty, but can determine activity start times after the uncertain activity durations become known.We introduce a new reformulation of the second-stage problem, which enables us to derive a compact robust counterpart to the full two-stage adjustable robust optimisation problem. Computational experiments show that this compact robust counterpart can be solved using standard optimisation software significantly faster than the current state-of-the-art algorithm for solving this problem, reaching optimality for almost 50% more instances on the same benchmark set.(c) 2021 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).
机译:本文考虑了不确定的活动持续时间的资源受限的项目调度问题。我们假设活动持续时间介于预算的不确定性集中,并遵循强大的两级方法,其中决策者必须解决问题的资源冲突,而是可以在不确定的活动持续时间后确定活动开始时间。我们介绍了新的第二阶段问题的重新制作,这使我们能够为全部两阶段可调的稳健优化问题推导紧凑的稳健对方。计算实验表明,可以使用标准优化软件解决该紧凑型强大的对应物,其比目前的最先进的算法更快,以解决这个问题,达到相同基准集上的近50%的近50%的最优性。(c) 2021作者。由elsevier有限公司发布这是CC下的开放式访问文章(http:// creativecommons.org/licenses/by/4.0/)。

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