考虑多重覆盖的应急设施多级协同布局鲁棒优化
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作者单位:

1. 中南大学 交通运输工程学院,长沙 410075;2. 中南林业科技大学 物流与交通学院,长沙 410004

作者简介:

通讯作者:

E-mail: dzzhang@csu.edu.cn.

中图分类号:

F224.3;O224

基金项目:

国家自然科学基金项目(72074073,71672193).


Robust optimization of hierarchical cooperative layout of emergency facilities considering multiple coverage
Author:
Affiliation:

1. School of Traffic & Transportation Engineering,Central South University,Changsha 410075,China;2. College of Logistics and Transportation, Central South University of Forestry and Technology,Changsha 410004,China

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    摘要:

    应急设施的合理布局是灾后实现物资高效、公平和稳定供应的重要保障.针对突发自然灾害的不确定性,研究基于多重覆盖的应急设施多级协同布局鲁棒优化问题.首先,提出多级设施选址下的多重覆盖水平函数,以最小覆盖水平和期望总成本最优为目标,建立应急设施多级协同选址双目标优化模型;其次,应用基数不确定集和p-鲁棒方法构建两类鲁棒优化模型,分别研究场景内不确定需求和随机场景对设施布局的影响;最后,以湖南省救灾备荒种子储备库选址为例进行实证分析,验证所提出优化模型的有效性.研究结果表明:多级协同布局相比传统布局方案更具优势;鲁棒优化模型能够有效应对不确定情形和随机场景下的物资需求;决策者的风险偏好程度和预算水平对设施协同布局有重要影响,需对二者进行综合权衡.

    Abstract:

    The rational layout of emergency facilities is an important guarantee for efficiency, fairness and stability of resource supply in post-disaster. Aiming at the uncertainty of sudden natural disasters, we study the robust optimization of hierarchical collaborative location of emergency facilities based on multiple coverage. Firstly, a multiple coverage level function is formulated based on the hierarchical facility location, and a bi-objective model of hierarchical collaborative location of emergency facilities is presented with the optimization objectives of minimum coverage level and expected total cost. Then, two kinds of robust optimization models are developed by applying the cardinal uncertainty set and the p-robust method to explore the influence of uncertain demand and random scenario on the facility layout. Finally, an empirical analysis on the location of seed reserve in Hunan province is carried out to validate the proposed models. The results show that there is a clear advantage to the layout solved by the collaborative location model over the traditional layout. The robust optimization models can effectively deal with the demand under the uncertainty and random scenario. The collaborative layout of facilities is affected significantly by the risk preference and budget level of decision-makers, so it is necessary to make a comprehensive trade-off between these.

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引用本文

张得志,乔馨,李双艳,等.考虑多重覆盖的应急设施多级协同布局鲁棒优化[J].控制与决策,2022,37(7):1853-1861

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  • 在线发布日期: 2022-05-25
  • 出版日期: 2022-07-20
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