Distributionally robust multi-period humanitarian relief network design integrating facility location, supply inventory and allocation, and evacuation planning

Yunqiang Yin · Feng Chu · Dujuan Wang

59 citations0/0 files storedInternational Journal of Production Research

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Facility Location and Emergency Management Supply Chain and Inventory Management Disaster Response and Management

Abstract

Facility location, supply inventory and distribution, and evacuation planning are key operational functions in a humanitarian relief network, it is critical to integrate these three functions and schedule their activities jointly in a coordinated manner. Considering uncertain demands and evacuation rates of injured people, we develop a distributionally robust model for the multi-period humanitarian relief network design with multiple types of relief supplies. To solve the problem, we reformulate the proposed model into a mixed integer linear programme, and develop an enhanced branch-and-Benders-cut algorithm that incorporates some algorithm enhancements to solve the resulting model. Extensive numerical experiments show that: (i) the distributionally robust model provides more reliable and flexible solutions that perform the best when faced uncertainty over the deterministic and stochastic models; (ii) the algorithm enhancements are very effective to enhance the performance of the proposed algorithm, which can reduce the CPU time by up to 9.75%∼41.64% on average; (iii) the integrated solution approach is more beneficial to solve the problem when comparing with a sequential solution approach; and (iv) some model parameters have significant impact on the solution structure, which can help decision maker set proper parameters to achieve the desired trade-off among the considered metrics.

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References

2009Stochastic optimization of medical supply location and distribution in disaster management 2011Distributionally robust joint chance constraints with second-order moment information 2009Stochastic Optimization for Natural Disaster Asset Prepositioning 2010Robust optimization for emergency logistics planning: Risk mitigation in humanitarian relief supply chains 2016Redesigning Benders Decomposition for Large-Scale Facility Location 2017Location and Emergency Inventory Pre‐Positioning for Disaster Response Operations: Min‐Max Robust Model and a Case Study of Yushu Earthquake 2011A two-echelon stochastic facility location model for humanitarian relief logistics 2015A location-routing model for prepositioning and distributing emergency supplies

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2024Two-stage recoverable robust optimization for an integrated location–allocation and evacuation planning problem 2024Hybrid risk-averse location-inventory-allocation with secondary disaster considerations in disaster relief logistics: A distributionally robust approach 2023Multi-period stochastic programming for relief delivery considering evolving transportation network and temporary facility relocation/closure 2024

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