In this study, we propose an optimization approach for the storage and distribution of fuel after a disaster. This problem is of particular concern in island settings. Our approach models the uncertainty of the problem through a set of disaster scenarios. The scenarios capture which fuel storage locations are unavailable and which regions face higher demands for fuel due to the impact of a disaster. We develop mixed-integer programs to determine how to allocate fuel to the different regions, the value of prepositioning additional fuel in the current and new locations, and the best fuel volumes to store in different geographical locations. Our models consider both maximizing equity and output. For our case study, we examine how these different strategies could benefit Puerto Rico, given ten recent disasters that have hit this island. We are able to demonstrate the importance of prepositioning fuel in new locations.

在这项研究中，我们提出了一种灾难后燃料储存和分配的优化方法。这个问题在岛屿环境中尤其令人担忧。我们的方法通过一组灾难场景对问题的不确定性进行建模。这些情景捕捉了哪些燃料储存地点不可用以及哪些地区因灾害影响而面临更高的燃料需求。我们开发混合整数程序来确定如何将燃料分配到不同的区域、在当前和新位置预置额外燃料的价值以及在不同地理位置存储的最佳燃料量。我们的模型考虑了最大化公平和产出。在我们的案例研究中，我们研究了这些不同的策略如何使波多黎各受益，因为该岛最近发生了 10 次灾难。