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:
作者单位:

1.中南大学;2.中南林业科技大学;3.湖南师范大学

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中图分类号:

F224.3;O224

基金项目:

基于需求不确定的城市群低碳物流网络协同布局鲁棒优化,国家自然科学基金项目(面上项目,重点项目,重大项目)


Robust Optimization of Hierarchical Cooperative Layout of Emergency Facilities considering Multiple Coverage
Author:
Affiliation:

1.Central South University;2.Central South University of Forestry and Technology

Fund Project:

Robust optimization on low-carbon logistics network collaboration layout of urban agglomeration with uncertain demand,The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)

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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.本文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,为研究上述优化模型的有效性,以湖南省救灾备荒种子储备库选址为例进行实证分析.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 efficient, fair and stable 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; Next, two kinds of robust optimization models are developed by applying cardinal uncertainty set and p-robust method to explore the influence of uncertain demand and random scenario on 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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  • 收稿日期:2021-04-21
  • 最后修改日期:2021-08-18
  • 录用日期:2021-08-26
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