In this research, a robust optimization approach is proposed to the problem of designing emergency response networks for marine oil-spills given uncertainty in the location, size and type of the spill. In this regard, we formulate two robust models (Gamma and Ellipsoidal) to optimize the allocation of response equipment while considering the underlying uncertainty in each oil-spill scenario. An efficient Branch-and-Cut algorithm is then designed to improve the computational performance. The benefits of applying the robust formulations are illustrated and compared to the non-robust model using a realistic case study from Newfoundland (Canada).

中文翻译：

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定位和库存海洋溢油应急设施的强大优化方法

在这项研究中，针对溢油的位置，大小和类型不确定的情况，针对海洋溢油设计应急响应网络的问题，提出了一种鲁棒的优化方法。在这方面，我们制定了两个健壮的模型（伽玛和椭球）来优化响应设备的分配，同时考虑每种溢油场景中潜在的不确定性。然后，设计了一种有效的分支剪切算法，以提高计算性能。通过使用来自纽芬兰（加拿大）的实际案例研究，说明了使用健壮配方的好处，并将其与非健壮模型进行了比较。