Abstract In this paper, the Facility Location and Equipment Emplacement Technique model with Expected Covering (FLEET-EXC) model is introduced, an emergency facility location problem that maximizes the coverage of expected demand. This model also considers multiple regions, demand types, vehicle types, and region-dependent dispatching rules. This work presents a mixed-integer linear programming model that considers vehicles average utilization to compute expected demand coverage. Because the optimal solution depends on these parameters, we propose an iterative procedure as a solving method, where a Hypercube Queueing Model is used to compute the utilization of the vehicles. The goal of this procedure is to update parameters until the resulting vehicle utilizations from the optimal solution are the same as the ones used to compute the expected demand of the MIP mentioned above model. Finally, a case study on Concepcion province, Chile is presented. A full factorial experiment design is proposed to analyze the effect of locating and relocating fire stations, finding optimal solutions for each experiment. The synergy produced by relocation and location of new facilities notoriously improves the emergency coverage, providing insights for strategic decision making.

中文翻译：

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智利康塞普西翁省消防站位置具有预期覆盖范围的设施位置和设备安置技术模型

摘要 本文介绍了具有预期覆盖的设施选址和设备安置技术模型（FLEET-EXC）模型，这是一个最大限度地覆盖预期需求的应急设施选址问题。该模型还考虑了多个区域、需求类型、车辆类型和区域相关的调度规则。这项工作提出了一个混合整数线性规划模型，该模型考虑了车辆的平均利用率来计算预期需求覆盖率。由于最优解取决于这些参数，我们提出了一种迭代程序作为求解方法，其中使用超立方体排队模型来计算车辆的利用率。此过程的目标是更新参数，直到最优解的最终车辆利用率与用于计算上述模型的预期需求的车辆利用率相同。最后，介绍了智利康塞普西翁省的案例研究。提出了一个全析因实验设计来分析定位和重新定位消防站的效果，为每个实验寻找最优解。众所周知，新设施的搬迁和选址产生的协同作用提高了应急覆盖范围，为战略决策提供了见解。