Analysis of process flexibility designs under disruptions
Analysis of process flexibility designs under disruptions
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DOI：
10.1080/24725854.2020.1759162
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发表时间：
2020-07
影响因子：
2.6
通讯作者：
Erfan Mehmanchi;H. Bidkhori;O. Prokopyev
中科院分区：
文献类型：
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作者：
Erfan Mehmanchi;H. Bidkhori;O. Prokopyev
摘要以往关于过程柔性设计的研究大多集中在预期销售额和需求不确定性上。在本文中，我们研究了最坏情况下的性能的灵活性设计的需求和供应的不确定性，后者可以在工厂或电弧中断的形式。我们将中断条件下的植被覆盖指数（PCID）定义为中断后工厂供应固定数量产品所需的最低能力。通过利用PCID，我们建立了对称的不确定性集下的最坏情况下的性能可以表示在PCID，供应和需求的不确定性。此外，PCID使我们能够对不同的设计进行有意义的比较。特别是，我们证明，在中断的2-长链设计是上级的设计广泛的一类。此外，我们确定了一个条件，其中Q-短和Q-长链设计具有相同的最坏情况下的性能。我们还讨论了脆弱性的概念，它量化了最坏情况下中断的影响，并比较了Q短链和Q长链设计在不同类型中断下的脆弱性。最后，通过采用PCID，我们开发了一种算法来生成在最坏情况下和预期中的供需不确定性下表现良好的设计。
Abstract Most previous studies concerning process flexibility designs have focused on expected sales and demand uncertainty. In this paper, we examine the worst-case performance of flexibility designs in the case of demand and supply uncertainties, where the latter can be in the form of either plant or arc disruptions. We define the Plant Cover Index under Disruptions (PCID) as the minimum required plants’ capacity to supply a fixed number of products after the disruptions. By exploiting PCID, we establish that under symmetric uncertainty sets the worst-case performance can be expressed in terms of PCID, supply and demand uncertainties. Additionally, PCID enables us to make meaningful comparisons of different designs. In particular, we demonstrate that under disruptions the 2-long chain design is superior to a broad class of designs. Moreover, we identify a condition wherein both Q-short and Q-long chain designs have the same worst-case performance. We also discuss the notion of fragility that quantifies the impact of disruptions in the worst case and compare fragilities of Q-short and Q-long chain designs under different types of disruptions. Finally, by employing PCID, we develop an algorithm to generate designs that perform well under supply and demand uncertainties in both the worst case and in expectation.