Emergency logistics is crucial to ameliorate the impact of large earthquakes on society. We present a modeling framework to assist decision makers in strategic and tactical planning for effective relief operations after an earthquake's occurrence. The objective is to perform these operations quickly while keeping its total expenses under a budget. The modeling framework locates/allocates resources in potentially affected zones, and transportation capacity is dynamically deployed in those zones. Demand uncertainty is directly incorporated through an impulse stochastic process. The novelty of this approach is threefold. It incorporates temporo-spatial dependence and demands heterogeneity. It incorporates the availability of transportation capacity at different zones. It incorporates tight budget constraints that precludes the total satisfaction of demands. The resulting model is a large size stochastic mixed-integer programming model, which can be approximately solved through Sample Average Approximation. An example is provided and a thorough sensitivity analysis is performed. The numerical results suggest that that the response times are highly sensitive to the availability of inventory at each period. In addition, all logistics parameters (except for inventory capacity) have approximately the same impact on the total response time. The elasticity for all these parameters indicate constant returns to scale.

中文翻译：

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时空需求关联下的灾害管理应急物流：地震案例

应急后勤对于减轻大地震对社会的影响至关重要。我们提供了一个建模框架，以帮助决策者制定战略和战术计划，以在地震发生后进行有效的救援行动。目标是快速执行这些操作，同时将总费用保持在预算之内。建模框架在可能受影响的区域中定位/分配资源，并在这些区域中动态部署运输能力。需求不确定性通过脉冲随机过程直接纳入。这种方法的新颖性是三重的。它包含了时空依赖性，并要求异质性。它结合了不同区域的运输能力的可用性。它包含了严格的预算限制，从而无法完全满足需求。生成的模型是大型随机混合整数规划模型，可以通过样本平均近似来近似求解。提供一个示例，并进行了彻底的灵敏度分析。数值结果表明，响应时间对每个时期的库存可用性高度敏感。此外，所有物流参数（除了库存容量）对总响应时间的影响大致相同。所有这些参数的弹性表明规模收益不变。提供一个示例，并进行了彻底的灵敏度分析。数值结果表明，响应时间对每个时期的库存可用性高度敏感。此外，所有物流参数（除了库存容量）对总响应时间的影响大致相同。所有这些参数的弹性表明规模收益不变。提供一个示例，并进行了彻底的灵敏度分析。数值结果表明，响应时间对每个时期的库存可用性高度敏感。此外，所有物流参数（除了库存容量）对总响应时间的影响大致相同。所有这些参数的弹性表明规模收益不变。