We study a problem where – given a railway network and different fleets – we have to locate maintenance locations and allocate the fleets to these locations. The allocation of fleets to the maintenance locations complicates the maintenance location routing problem. For each candidate location different facility sizes can be chosen and for each size there is an associated annual facility cost that captures the economies of scale in facility size. Because of the strategic nature of facility location, these facilities should be able to handle changes such as adjustments to the line plan and the introduction of new rolling stock types. We capture these changes by discrete scenarios and we formulate this two-stage stochastic problem as a mixed integer problem. Furthermore, we perform a case study with the Netherlands Railways that provides novel managerial insights by showing that the number of opened maintenance facilities highly depends on the allocation restrictions.

中文翻译：

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机车车辆随机维修位置路由分配问题

我们研究了一个问题——给定一个铁路网络和不同的车队——我们必须找到维修地点并将车队分配到这些地点。将车队分配到维护地点使维护地点路由问题复杂化。对于每个候选位置，可以选择不同的设施规模，并且对于每种规模，都有一个相关的年度设施成本，以反映设施规模的规模经济。由于设施位置的战略性质，这些设施应该能够处理诸如调整线路计划和引入新机车车辆类型等变化。我们通过离散场景捕捉这些变化，并将这个两阶段随机问题表述为混合整数问题。此外，