Location and Emergency Inventory Pre‐Positioning for Disaster Response Operations: Min‐Max Robust Model and a Case Study of Yushu Earthquake

Abstract

P re-positioning emergency inventory in selected facilities is commonly adopted to prepare for potential disaster threat. In this study, we simultaneously optimize the decisions of facility location, emergency inventory pre-positioning, and relief delivery operations within a single-commodity disaster relief network. A min-max robust model is proposed to capture the uncertainties in both the left-and right-hand-side parameters in the constraints. The former corresponds to the proportions of the pre-positioned inventories usable after a disaster attack, while the latter represents the demands of the inventories and the road capacities in the disaster-affected areas. We study how to solve the robust model efficiently and analyze a special case that minimizes the deprivation cost. The application of the model is illustrated by a case study of the 2010 earthquake attack at Yushu County in Qinghai Province of PR China. The advantage of the min-max robust model is demonstrated through comparison with the deterministic model and the two-stage stochastic model for the same problem. Experiment variants also show that the robust model outperforms the other two approaches for instances with significantly larger scales.

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Logística para la respuesta a desastres basada en programas de asistencia social. Caso de Estudio: Riesgo de Terremoto en Bogotá-Colombia

“…escuelas). Propuestas de este estilo se encuentran en [24]- [27]. En [43], trabajo que aborda el "preposicionamiento integrado" que combina los objetivos de operaciones de respuesta a emergencias y operaciones de largo plazo lideradas por el Alto Comisionado de Naciones Unidas para los refugiados -UNHCR por sus siglas en inglés-, también se propone un rediseño de la red existente, partiendo de infraestructura potencial que habría que ser construida.…”

“…Desde el punto de vista de los esfuerzos de planeación a desastres basados en programación matemática, es importante mencionar que si bien en la literatura de logística humanitaria, diferentes autores han abordado la localización de instalaciones, el preposicionamiento del inventario (e.g. [22]- [27]). El factor común de estas publicaciones es que el diseño y configuración de la red "complementaria" tiene origen en infraestructura no existente o en locaciones "potenciales" que no pertenecen a redes integradas y no contemplan, por tanto, alternativas como la adaptación de redes ya operantes.…”

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