不确定情况下考虑设施失效的鲁棒选址问题研究

Research on the robust location with considering facility failure under uncertainly

当突发事件发生后,道路状况,物资需求和其他无法预知并控制其变化的外部因素,导致决策者难以制定出及时、有效的救援方案。本文考虑到设施失效的情况,构建了同时考虑运输、库存和失效费用的选址模型,在此基础上构建了相应的需求不确定的鲁棒优化模型并转换成鲁棒对应模型。数值例子表明鲁棒优化的选址模型相比于相应的确定性选址模型,应急物资中心数量更少,服务覆盖的范围更大,库存量增大,需求满足率更高,为决策者提供更佳的决策方案,从而增强了应急系统的可靠性,提高应急救援的社会效益。

After the incident occurs, things like the road condition, goods demand and other uncontrollable external factors are unpredictable. It is really difficult to develop a timely and effective rescue program. This Paper consider the facilities failure, we build a model with considering transportation, inventory and failure cost, and then build robust optimization models with demand uncertain, and finally we transform them to robust corresponding models. Number example illustrate that robust optimization model has more advantages than the corresponding location model with definite demand, like less emergency material reserve centers, bigger covered area, more inventory and higher satisfaction on demand. It provides decision makers with better solutions, and improve the reliability of emergency system and social benefits of the emergence rescue.